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<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <title>Origami Simulator</title>

    <link href="dependencies/bootstrap.min.css" rel="stylesheet" type="text/css"/>
    <link rel="stylesheet" type="text/css" href="dependencies/flat-ui.min.css"/>
    <link rel="stylesheet" type="text/css" href="dependencies/jquery-ui.min.css"/>
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    <link rel="stylesheet" type="text/css" href="css/nav.css"/>
    <link rel="stylesheet" type="text/css" href="css/main.css"/>

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    <script>
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    <script id="vertexShader" type="x-shader/x-vertex">
        attribute vec2 a_position;
        void main() {
           gl_Position = vec4(a_position, 0, 1);
        }
    </script>

    <script id="packToBytesShader" type="x-shader/x-fragment">
        precision mediump float;
        uniform vec2 u_floatTextureDim;
        uniform sampler2D u_floatTexture;
        uniform float u_vectorLength;
        float shift_right (float v, float amt) {
            v = floor(v) + 0.5;
            return floor(v / exp2(amt));
        }
        float shift_left (float v, float amt) {
            return floor(v * exp2(amt) + 0.5);
        }
        float mask_last (float v, float bits) {
            return mod(v, shift_left(1.0, bits));
        }
        float extract_bits (float num, float from, float to) {
            from = floor(from + 0.5); to = floor(to + 0.5);
            return mask_last(shift_right(num, from), to - from);
        }
        vec4 encode_float (float val) {
            if (val == 0.0) return vec4(0, 0, 0, 0);
            float sign = val > 0.0 ? 0.0 : 1.0;
            val = abs(val);
            float exponent = floor(log2(val));
            float biased_exponent = exponent + 127.0;
            float fraction = ((val / exp2(exponent)) - 1.0) * 8388608.0;
            float t = biased_exponent / 2.0;
            float last_bit_of_biased_exponent = fract(t) * 2.0;
            float remaining_bits_of_biased_exponent = floor(t);
            float byte4 = extract_bits(fraction, 0.0, 8.0) / 255.0;
            float byte3 = extract_bits(fraction, 8.0, 16.0) / 255.0;
            float byte2 = (last_bit_of_biased_exponent * 128.0 + extract_bits(fraction, 16.0, 23.0)) / 255.0;
            float byte1 = (sign * 128.0 + remaining_bits_of_biased_exponent) / 255.0;
            return vec4(byte4, byte3, byte2, byte1);
        }
        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            float textureXcoord = floor((fragCoord.x - 0.5)/u_vectorLength+0.0001) + 0.5;
            vec4 data = texture2D(u_floatTexture, vec2(textureXcoord, fragCoord.y)/u_floatTextureDim);
            int textureIndex = int(floor(mod(fragCoord.x-0.5+0.0001, u_vectorLength)));
            if (textureIndex == 0) gl_FragColor = encode_float(data[0]);
            else if (textureIndex == 1) gl_FragColor = encode_float(data[1]);
            else if (textureIndex == 2) gl_FragColor = encode_float(data[2]);
            else if (textureIndex == 3) gl_FragColor = encode_float(data[3]);
        }
    </script>

    <script id="zeroTexture" type="x-shader/x-fragment">
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        precision mediump float;
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        void main(){
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            gl_FragColor = vec4(0.0);
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        }
    </script>
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    <script id="zeroThetaTexture" type="x-shader/x-fragment">
        precision mediump float;
        uniform sampler2D u_theta;
        uniform vec2 u_textureDimCreases;
        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDimCreases;
            vec4 theta = texture2D(u_theta, scaledFragCoord);
            gl_FragColor = vec4(0.0, 0.0, theta[2], theta[3]);
        }
    </script>
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    <script id="centerTexture" type="x-shader/x-fragment">
        precision mediump float;
        uniform sampler2D u_lastPosition;
        uniform vec2 u_textureDim;
        uniform vec3 u_center;
        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDim;
            vec3 position = texture2D(u_lastPosition, scaledFragCoord).xyz;
            gl_FragColor = vec4(position-u_center, 0.0);
        }
    </script>
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    <script id="positionCalcShader" type="x-shader/x-fragment">
        precision mediump float;
        uniform vec2 u_textureDim;
        uniform float u_dt;
        uniform sampler2D u_lastPosition;
        uniform sampler2D u_velocity;
        uniform sampler2D u_mass;

        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDim;

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            vec3 lastPosition = texture2D(u_lastPosition, scaledFragCoord).xyz;

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            float isFixed = texture2D(u_mass, scaledFragCoord).y;
            if (isFixed == 1.0){
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                gl_FragColor = vec4(lastPosition, 0.0);
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                return;
            }

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            vec4 velocityData = texture2D(u_velocity, scaledFragCoord);
            vec3 position = velocityData.xyz*u_dt + lastPosition;
            gl_FragColor = vec4(position, velocityData.a);//velocity.a has error info
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        }
    </script>

    <script id="velocityCalcShader" type="x-shader/x-fragment">
        precision mediump float;
        uniform vec2 u_textureDim;
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        uniform vec2 u_textureDimEdges;
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        uniform vec2 u_textureDimFaces;
        uniform vec2 u_textureDimCreases;
        uniform vec2 u_textureDimNodeCreases;
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        uniform vec2 u_textureDimNodeFaces;
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        uniform float u_creasePercent;
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        uniform float u_dt;
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        uniform float u_axialStiffness;
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        uniform sampler2D u_lastPosition;
        uniform sampler2D u_lastVelocity;
        uniform sampler2D u_originalPosition;
        uniform sampler2D u_externalForces;
        uniform sampler2D u_mass;
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        uniform sampler2D u_meta;//[beamsIndex, numBeam, nodeCreaseMetaIndex, numCreases]
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        uniform sampler2D u_beamMeta;//[k, d, length, otherNodeIndex]
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        uniform sampler2D u_creaseMeta;//[k, d, targetTheta]
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        uniform sampler2D u_nodeCreaseMeta;//[creaseIndex, nodeIndex, -, -]
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        uniform sampler2D u_normals;
        uniform sampler2D u_theta;//[theta, z, normal1Index, normal2Index]
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        uniform sampler2D u_creaseGeo;//[h1, h2, coef1, coef2]
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        uniform sampler2D u_meta2;//[nodesFaceIndex, numFaces]
        uniform sampler2D u_nodeFaceMeta;//[faceIndex, a, b, c]
        uniform sampler2D u_nominalTriangles;//[angleA, angleB, angleC]
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        vec4 getFromArray(float index1D, vec2 dimensions, sampler2D tex){
            vec2 index = vec2(mod(index1D, dimensions.x)+0.5, floor(index1D/dimensions.x)+0.5);
            vec2 scaledIndex = index/dimensions;
            return texture2D(tex, scaledIndex);
        }

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        vec3 getPosition(float index1D){
            vec2 index = vec2(mod(index1D, u_textureDim.x)+0.5, floor(index1D/u_textureDim.x)+0.5);
            vec2 scaledIndex = index/u_textureDim;
            return texture2D(u_lastPosition, scaledIndex).xyz + texture2D(u_originalPosition, scaledIndex).xyz;
        }

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        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDim;

            vec2 mass = texture2D(u_mass, scaledFragCoord).xy;
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            if (mass[1] == 1.0){//fixed
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                gl_FragColor = vec4(0.0);
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                return;
            }
            vec3 force = texture2D(u_externalForces, scaledFragCoord).xyz;
            vec3 lastPosition = texture2D(u_lastPosition, scaledFragCoord).xyz;
            vec3 lastVelocity = texture2D(u_lastVelocity, scaledFragCoord).xyz;
            vec3 originalPosition = texture2D(u_originalPosition, scaledFragCoord).xyz;

            vec4 neighborIndices = texture2D(u_meta, scaledFragCoord);
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            vec4 meta = texture2D(u_meta, scaledFragCoord);
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            vec2 meta2 = texture2D(u_meta2, scaledFragCoord).xy;
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            float nodeError = 0.0;

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            for (int j=0;j<100;j++){//for all beams (up to 100, had to put a const int in here)
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                if (j >= int(meta[1])) break;

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                vec4 beamMeta = getFromArray(meta[0]+float(j), u_textureDimEdges, u_beamMeta);
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                float neighborIndex1D = beamMeta[3];
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                vec2 neighborIndex = vec2(mod(neighborIndex1D, u_textureDim.x)+0.5, floor(neighborIndex1D/u_textureDim.x)+0.5);
                vec2 scaledNeighborIndex = neighborIndex/u_textureDim;
                vec3 neighborLastPosition = texture2D(u_lastPosition, scaledNeighborIndex).xyz;
                vec3 neighborLastVelocity = texture2D(u_lastVelocity, scaledNeighborIndex).xyz;
                vec3 neighborOriginalPosition = texture2D(u_originalPosition, scaledNeighborIndex).xyz;

                vec3 nominalDist = neighborOriginalPosition-originalPosition;
                vec3 deltaP = neighborLastPosition-lastPosition+nominalDist;
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                float deltaPLength = length(deltaP);
                deltaP -= deltaP*(beamMeta[2]/deltaPLength);
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                nodeError += abs(deltaPLength/length(nominalDist) - 1.0);
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                vec3 deltaV = neighborLastVelocity-lastVelocity;

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                vec3 _force = deltaP*beamMeta[0] + deltaV*beamMeta[1];
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                force += _force;
            }
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            nodeError /= meta[1];
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            for (int j=0;j<100;j++){//for all creases (up to 100, had to put a const int in here)
                if (j >= int(meta[3])) break;

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                vec4 nodeCreaseMeta = getFromArray(meta[2]+float(j), u_textureDimNodeCreases, u_nodeCreaseMeta);
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                float creaseIndex1D = nodeCreaseMeta[0];
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                vec2 creaseIndex = vec2(mod(creaseIndex1D, u_textureDimCreases.x)+0.5, floor(creaseIndex1D/u_textureDimCreases.x)+0.5);
                vec2 scaledCreaseIndex = creaseIndex/u_textureDimCreases;

                vec4 thetas = texture2D(u_theta, scaledCreaseIndex);
                vec3 creaseMeta = texture2D(u_creaseMeta, scaledCreaseIndex).xyz;//[k, d, targetTheta]
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                vec4 creaseGeo = texture2D(u_creaseGeo, scaledCreaseIndex);//[h1, h2, coef1, coef2]
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                if (creaseGeo[0]< 0.0) continue;//crease disabled bc it has collapsed too much
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                float targetTheta = creaseMeta[2] * u_creasePercent;
                float angForce = creaseMeta[0]*(targetTheta-thetas[0]);// + creaseMeta[1]*thetas[1];

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                float nodeNum = nodeCreaseMeta[1];//1, 2, 3, 4
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                if (nodeNum > 2.0){//crease reaction, node is on a crease
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                    //node #1
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                    vec3 normal1 = getFromArray(thetas[2], u_textureDimFaces, u_normals).xyz;
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                    //node #2
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                    vec3 normal2 = getFromArray(thetas[3], u_textureDimFaces, u_normals).xyz;
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                    float coef1 = creaseGeo[2];
                    float coef2 = creaseGeo[3];
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                    if (nodeNum == 3.0){
                        coef1 = 1.0-coef1;
                        coef2 = 1.0-coef2;
                    }
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                    vec3 _force = -angForce*(coef1/creaseGeo[0]*normal1 + coef2/creaseGeo[1]*normal2);
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                    force += _force;
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                } else {
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                    float normalIndex1D = thetas[2];//node #1
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                    float momentArm = creaseGeo[0];//node #1
                    if (nodeNum == 2.0) {
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                        normalIndex1D = thetas[3];//node #2
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                        momentArm = creaseGeo[1];//node #2
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                    }
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                    vec3 normal = getFromArray(normalIndex1D, u_textureDimFaces, u_normals).xyz;
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                    vec3 _force = angForce/momentArm*normal;
                    force += _force;
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                }
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            }

            for (int j=0;j<100;j++){//for all faces (up to 100, had to put a const int in here)
                if (j >= int(meta2[1])) break;

                vec4 faceMeta = getFromArray(meta2[0]+float(j), u_textureDimNodeFaces, u_nodeFaceMeta);//[face index, a, b, c]
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                vec3 nominalAngles = getFromArray(faceMeta[0], u_textureDimFaces, u_nominalTriangles).xyz;//[angA, angB, angC]

                int faceIndex = 0;
                if (faceMeta[2] < 0.0) faceIndex = 1;
                if (faceMeta[3] < 0.0) faceIndex = 2;
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                //get node positions
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                vec3 a = faceIndex == 0 ? lastPosition+originalPosition : getPosition(faceMeta[1]);
                vec3 b = faceIndex == 1 ? lastPosition+originalPosition : getPosition(faceMeta[2]);
                vec3 c = faceIndex == 2 ? lastPosition+originalPosition : getPosition(faceMeta[3]);
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                //calc angles
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                vec3 ab = b-a;
                vec3 ac = c-a;
                vec3 bc = c-b;
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                float lengthAB = length(ab);
                float lengthAC = length(ac);
                float lengthBC = length(bc);

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                float tol = 0.0000001;
                if (abs(lengthAB) < tol || abs(lengthBC) < tol || abs(lengthAC) < tol) continue;

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                ab /= lengthAB;
                ac /= lengthAC;
                bc /= lengthBC;

                vec3 angles = vec3(acos(dot(ab, ac)),
                    acos(-1.0*dot(ab, bc)),
                    acos(dot(ac, bc)));
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                vec3 anglesDiff = nominalAngles-angles;

                vec3 normal = getFromArray(faceMeta[0], u_textureDimFaces, u_normals).xyz;
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                //calc forces
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                anglesDiff *= u_axialStiffness/100.0;
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                if (faceIndex == 0){//a
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                    vec3 normalCrossAC = cross(normal, ac)/lengthAC;
                    vec3 normalCrossAB = cross(normal, ab)/lengthAB;
                    force -= anglesDiff[0]*(normalCrossAC - normalCrossAB);
                    force -= anglesDiff[1]*normalCrossAB;
                    force += anglesDiff[2]*normalCrossAC;
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                } else if (faceIndex == 1){
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                    vec3 normalCrossAB = cross(normal, ab)/lengthAB;
                    vec3 normalCrossBC = cross(normal, bc)/lengthBC;
                    force -= anglesDiff[0]*normalCrossAB;
                    force += anglesDiff[1]*(normalCrossAB + normalCrossBC);
                    force -= anglesDiff[2]*normalCrossBC;
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                } else if (faceIndex == 2){
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                    vec3 normalCrossAC = cross(normal, ac)/lengthAC;
                    vec3 normalCrossBC = cross(normal, bc)/lengthBC;
                    force += anglesDiff[0]*normalCrossAC;
                    force -= anglesDiff[1]*normalCrossBC;
                    force += anglesDiff[2]*(normalCrossBC - normalCrossAC);
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                }
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            }

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            vec3 velocity = force*u_dt/mass[0] + lastVelocity;
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            gl_FragColor = vec4(velocity,nodeError);
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        }
    </script>

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    <script id="thetaCalcShader" type="x-shader/x-fragment">
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        #define TWO_PI 6.283185307179586476925286766559
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        precision mediump float;
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        uniform vec2 u_textureDim;
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        uniform vec2 u_textureDimFaces;
        uniform vec2 u_textureDimCreases;
        uniform sampler2D u_normals;
        uniform sampler2D u_lastTheta;
        uniform sampler2D u_creaseVectors;
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        uniform sampler2D u_lastPosition;
        uniform sampler2D u_originalPosition;
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        uniform float u_dt;
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        vec4 getFromArray(float index1D, vec2 dimensions, sampler2D tex){
            vec2 index = vec2(mod(index1D, dimensions.x)+0.5, floor(index1D/dimensions.x)+0.5);
            vec2 scaledIndex = index/dimensions;
            return texture2D(tex, scaledIndex);
        }

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        void main(){

            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDimCreases;

            vec4 lastTheta = texture2D(u_lastTheta, scaledFragCoord);

            if (lastTheta[2]<0.0){
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                gl_FragColor = vec4(lastTheta[0], 0.0, -1.0, -1.0);
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                return;
            }

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            vec3 normal1 = getFromArray(lastTheta[2], u_textureDimFaces, u_normals).xyz;
            vec3 normal2 = getFromArray(lastTheta[3], u_textureDimFaces, u_normals).xyz;
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            float dotNormals = dot(normal1, normal2);//normals are already normalized, no need to divide by length
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            if (dotNormals < -1.0) dotNormals = -1.0;
            else if (dotNormals > 1.0) dotNormals = 1.0;
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            vec2 creaseVectorIndices = texture2D(u_creaseVectors, scaledFragCoord).xy;
            vec2 creaseNodeIndex = vec2(mod(creaseVectorIndices[0], u_textureDim.x)+0.5, floor(creaseVectorIndices[0]/u_textureDim.x)+0.5);
            vec2 scaledNodeIndex = creaseNodeIndex/u_textureDim;
            vec3 node0 = texture2D(u_lastPosition, scaledNodeIndex).xyz + texture2D(u_originalPosition, scaledNodeIndex).xyz;
            creaseNodeIndex = vec2(mod(creaseVectorIndices[1], u_textureDim.x)+0.5, floor(creaseVectorIndices[1]/u_textureDim.x)+0.5);
            scaledNodeIndex = creaseNodeIndex/u_textureDim;
            vec3 node1 = texture2D(u_lastPosition, scaledNodeIndex).xyz + texture2D(u_originalPosition, scaledNodeIndex).xyz;

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            //https://math.stackexchange.com/questions/47059/how-do-i-calculate-a-dihedral-angle-given-cartesian-coordinates
            vec3 creaseVector = normalize(node1-node0);
            float x = dotNormals;
            float y = dot(cross(normal1, creaseVector), normal2);
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            float theta = atan(y, x);

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            float diff = theta-lastTheta[0];
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            float origDiff = diff;
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            if (diff < -5.0) {
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                diff += TWO_PI;
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            } else if (diff > 5.0) {
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                diff -= TWO_PI;
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            }
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            theta = lastTheta[0] + diff;
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            gl_FragColor = vec4(theta, diff, lastTheta[2], lastTheta[3]);//[theta, w, normal1Index, normal2Index]
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        }
    </script>
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    <script id="normalCalc" type="x-shader/x-fragment">
        precision mediump float;
        uniform vec2 u_textureDim;
        uniform vec2 u_textureDimFaces;
        uniform sampler2D u_faceVertexIndices;
        uniform sampler2D u_lastPosition;
        uniform sampler2D u_originalPosition;

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        vec3 getPosition(float index1D){
            vec2 index = vec2(mod(index1D, u_textureDim.x)+0.5, floor(index1D/u_textureDim.x)+0.5);
            vec2 scaledIndex = index/u_textureDim;
            return texture2D(u_lastPosition, scaledIndex).xyz + texture2D(u_originalPosition, scaledIndex).xyz;
        }

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        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDimFaces;

            vec3 indices = texture2D(u_faceVertexIndices, scaledFragCoord).xyz;

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            vec3 a = getPosition(indices[0]);
            vec3 b = getPosition(indices[1]);
            vec3 c = getPosition(indices[2]);
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            vec3 normal = normalize(cross(b-a, c-a));

            gl_FragColor = vec4(normal, 0.0);
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        }
    </script>
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    <script id="updateCreaseGeo" type="x-shader/x-fragment">
        precision mediump float;
        uniform vec2 u_textureDim;
        uniform vec2 u_textureDimCreases;
        uniform sampler2D u_lastPosition;
        uniform sampler2D u_originalPosition;
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        uniform sampler2D u_creaseMeta2;
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        vec3 getPosition(float index1D){
            vec2 index = vec2(mod(index1D, u_textureDim.x)+0.5, floor(index1D/u_textureDim.x)+0.5);
            vec2 scaledIndex = index/u_textureDim;
            return texture2D(u_lastPosition, scaledIndex).xyz + texture2D(u_originalPosition, scaledIndex).xyz;
        }

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        void main(){
            vec2 fragCoord = gl_FragCoord.xy;
            vec2 scaledFragCoord = fragCoord/u_textureDimCreases;

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            vec4 creaseMeta = texture2D(u_creaseMeta2, scaledFragCoord);
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            vec3 node1 = getPosition(creaseMeta[0]);
            vec3 node2 = getPosition(creaseMeta[1]);
            vec3 node3 = getPosition(creaseMeta[2]);
            vec3 node4 = getPosition(creaseMeta[3]);
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            float tol = 0.000001;
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            vec3 creaseVector = node4-node3;
            float creaseLength = length(creaseVector);
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            if (abs(creaseLength)<tol) {
                gl_FragColor = vec4(-1);//disable crease
                return;
            }
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            creaseVector /= creaseLength;

            vec3 vector1 = node1-node3;
            vec3 vector2 = node2-node3;

            float proj1Length = dot(creaseVector, vector1);
            float proj2Length = dot(creaseVector, vector2);
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            float dist1 = sqrt(abs(vector1.x*vector1.x+vector1.y*vector1.y+vector1.z*vector1.z-proj1Length*proj1Length));
            float dist2 = sqrt(abs(vector2.x*vector2.x+vector2.y*vector2.y+vector2.z*vector2.z-proj2Length*proj2Length));

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            if (dist1<tol || dist2<tol){
                gl_FragColor = vec4(-1);//disable crease
                return;
            }
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            gl_FragColor = vec4(dist1, dist2, proj1Length/creaseLength, proj2Length/creaseLength);
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        }
    </script>

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    <script type="text/javascript" src="dependencies/jquery-3.1.1.min.js"></script>
    <script type="text/javascript" src="dependencies/jquery-ui.min.js"></script>
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    <script type="text/javascript" src="dependencies/fold.js"></script>
    <!--<script type="text/javascript" src="dependencies/numeric-1.2.6.js"></script>-->
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    <!--<script type="text/javascript" src="dependencies/EffectComposer.js"></script>-->
    <!--<script type="text/javascript" src="dependencies/MaskPass.js"></script>-->
    <!--<script type="text/javascript" src="dependencies/ShaderPass.js"></script>-->
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    <script type="text/javascript" src="dependencies/WebVR.js"></script>
    <script type="text/javascript" src="dependencies/VREffect.js"></script>
    <script type="text/javascript" src="dependencies/ViveController.js"></script>
    <script type="text/javascript" src="dependencies/VRControls.js"></script>

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    <script type="text/javascript" src="js/dynamic/GLBoilerplate.js"></script>
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    <script type="text/javascript" src="js/controls.js"></script>
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    <script type="text/javascript" src="js/model.js"></script>
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    <script type="text/javascript" src="js/main.js"></script>
</head>
<body>
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<nav id="globalNav" class="navbar navbar-inverse navbar-embossed" role="navigation">
    <div class="navbar-header">
        <a id="logo" class="navbar-brand" target="_blank" href="http://cba.mit.edu/">
            <img id="inactiveLogo" src="logo.png"/>
            <img id="activeLogo" src="logo-active.png"/>
        </a>
    </div>
    <div class="collapse navbar-collapse" id="navbar-collapse-01">
        <ul class="nav navbar-nav navbar-left">
            <li class="dropdown navDropdown">
                <a href="#" class="dropdown-toggle" data-toggle="dropdown">File <b class="caret"></b></a>
                <span class="dropdown-arrow"></span>
                <ul class="dropdown-menu">
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                    <li><a class="loadFile" href="#">Import... (SVG / FOLD)</a></li>
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                    <li><a id="importSettings" href="#">SVG Import Settings...</a></li>
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                    <li><a id="tips" href="#">File Import Tips</a></li>
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                    <li class="divider"></li>
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                    <li><a id="exportFOLD" href="#">Save Simulation as FOLD...</a></li>
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                    <li><a id="saveSVG" href="#">Save Pattern as SVG...</a></li>
                    <!--<li><a id="saveSVGScreenshot" href="#">Save SVG screenshot</a></li>-->
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                </ul>
            </li>
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            <li class="dropdown navDropdown">
                <a href="#" class="dropdown-toggle" data-toggle="dropdown">Examples <b class="caret"></b></a>
                <span class="dropdown-arrow"></span>
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                <ul class="dropdown-menu" style="min-width: 200px;">
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                    <li class="dropdown-submenu">
                        <a tabindex="-1">Origami<span class="pull-right fui-arrow-right"></span></a>
                        <ul class="dropdown-menu">
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                            <li><a href="#" class="demo" data-url="Origami/flappingBird.svg">Flapping Bird</a></li>
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                            <li><a href="#" class="demo" data-url="Origami/langCardinal.svg">Lang Cardinal</a></li>
                            <li><a href="#" class="demo" data-url="Origami/langKniDragon.svg">Lang Orchid</a></li>
                            <li><a href="#" class="demo" data-url="Origami/langOrchid.svg">Lang KNL Dragon</a></li>
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                            <li><a href="#" class="demo" data-url="Origami/singlesquaretwist.svg">Square Twist (single)</a></li>
                            <li><a href="#" class="demo" data-url="Origami/squaretwistManyAngles.svg">Square Twist (many angles)</a></li>
                        </ul>
                    </li>
                    <li class="dropdown-submenu">
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                        <a tabindex="-1">Tessellations<span class="pull-right fui-arrow-right"></span></a>
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                        <ul class="dropdown-menu">
                            <li><a href="#" class="demo" data-url="Tessellations/miura-ori.svg">Miura-Ori</a></li>
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                            <li><a href="#" class="demo" data-url="Tessellations/waterbomb.svg">Waterbomb</a></li>
                            <li class="divider"></li>
                            <li><a href="#" class="demo" data-url="Tessellations/huffmanExtrudedBoxes.svg">Huffman Extruded Boxes</a></li>
                            <li><a href="#" class="demo" data-url="Tessellations/huffmanWaterbomb.svg">Huffman Waterbombs</a></li>
                            <li><a href="#" class="demo" data-url="Tessellations/huffmanRectangularWeave.svg">Huffman Rect Weave</a></li>
                            <li><a href="#" class="demo" data-url="Tessellations/huffmanStarsTriangles.svg">Huffman Stars-Triangles</a></li>
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                            <li><a href="#" class="demo" data-url="Tessellations/huffmanExdentedBoxes.svg">Huffman Exdented Boxes</a></li>
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                            <li class="divider"></li>
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                            <li><a href="#" class="demo" data-url="Tessellations/reschBarbell.svg">Resch Barbell Tessellation</a></li>
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                            <li class="divider"></li>
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                            <li><a href="#" class="demo" data-url="Tessellations/langOvalTessellation.svg">Lang Oval Tessellation</a></li>
                            <li><a href="#" class="demo" data-url="Tessellations/langHyperbolicLimit.svg">Lang Hyperbolic Limit</a></li>
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							<li><a href="#" class="demo" data-url="Tessellations/test.svg">test (REMOVE)</a></li>
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                        </ul>
                    </li>
                    <li class="dropdown-submenu">
                        <a tabindex="-1">Curved Creases<span class="pull-right fui-arrow-right"></span></a>
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                        </ul>
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                        <a tabindex="-1">Origami Bases<span class="pull-right fui-arrow-right"></span></a>
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                        <ul class="dropdown-menu">
                            <li><a href="#" class="demo" data-url="Bases/birdBase.svg">Bird Base</a></li>
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                            <li><a href="#" class="demo" data-url="Bases/pinwheelBase.svg">Pinwheel Base</a></li>
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                            <li><a href="#" class="demo" data-url="Bases/squareBase.svg">Square Base</a></li>
                            <li><a href="#" class="demo" data-url="Bases/waterbombBase.svg">Waterbomb Base</a></li>
                        </ul>
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                    <li class="dropdown-submenu">
                        <a tabindex="-1">Simple Folds<span class="pull-right fui-arrow-right"></span></a>
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                            <li><a href="#" class="demo" data-url="SimpleFolds/simpleVertex.svg">Simple Vertex</a></li>
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                            <li><a href="#" class="demo" data-url="SimpleFolds/russianTuck.svg">Russian Tuck</a></li>
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                            <li><a href="#" class="demo" data-url="SimpleFolds/mapfold.svg">Map Fold</a></li>
                            <li><a href="#" class="demo" data-url="SimpleFolds/brochurefold.svg">Brochure Fold</a></li>
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                        </ul>
                    </li>
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                    <li class="divider"></li>
                    <li class="dropdown-submenu">
                        <a tabindex="-1">Problematic Patterns<span class="pull-right fui-arrow-right"></span></a>
                        <ul class="dropdown-menu">
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                            <li class="dropdown-submenu">
                                <a tabindex="-1">Skinny Triangles<span class="pull-right fui-arrow-right"></span></a>
                                <ul class="dropdown-menu">
                                    <li><a href="#" class="demo" data-url="Tessellations/langRattanWeave.svg">Lang Rattan Weave</a></li>
                                </ul>
                            </li>
                            <li class="dropdown-submenu">
                                <a tabindex="-1">Bad Files<span class="pull-right fui-arrow-right"></span></a>
                                <ul class="dropdown-menu">
                                    <li><a href="#" class="demo" data-url="Tessellations/langWedgeDoubleFaced.svg">Lang Wedged Double Faced Tessellation</a></li>
                                </ul>
                            </li>
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                        </ul>
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            <li class="dropdown navDropdown">
                <a href="#" class="dropdown-toggle" data-toggle="dropdown">View <b class="caret"></b></a>
                <span class="dropdown-arrow"></span>
                <ul class="dropdown-menu">
                    <li><a id="menuVis" href="#">Toggle Menu Visibility</a></li>
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                    <li><a id="changeBackground" href="#">Change Background Color...</a></li>
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                    <li class="dropdown-submenu">
                        <a tabindex="-1">Rotate Model<span class="pull-right fui-arrow-right"></span></a>
                        <ul class="dropdown-menu">
                            <li><a id="stopRotation" href="#">Stop Rotation</a></li>
                            <li><a id="rotateX" href="#">Rotate Around X</a></li>
                            <li><a id="rotateY" href="#">Rotate Around Y</a></li>
                            <li><a id="rotateZ" href="#">Rotate Around Z</a></li>
                            <li><a id="changeRotationSpeed" href="#">Change Rotation Speed...</a></li>
                        </ul>
                    </li>
                    <li class="dropdown-submenu">
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                        <a tabindex="-1">View Direction<span class="pull-right fui-arrow-right"></span></a>
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                        <ul class="dropdown-menu">
                            <li><a href="#" id="cameraZ">View Front</a></li>
                            <li><a href="#" id="cameraMinusZ">View Back</a></li>
                            <li><a href="#" id="cameraX">View Right</a></li>
                            <li><a href="#" id="cameraMinusX">View Left</a></li>
                            <li><a href="#" id="cameraY">View Top</a></li>
                            <li><a href="#" id="cameraMinusY">View Bottom</a></li>
                            <li><a href="#" id="cameraOrtho">View Ortho</a></li>
                        </ul>
                    </li>
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                </ul>
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            <li><a id="navPattern" href="#">Pattern</a></li>
            <li><a id="navSimulation" href="#">Simulation</a></li>
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            <li><a id="about" class="menuHoverControls" target="_blank" href="#">About</a></li>
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        <!--<form class="navbar-form navbar-right" action="#" role="search">-->
            <!--<div class="form-group">-->
              <!--<div class="input-group">-->
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                <div class="sliderInput floatRight" id="creasePercentNav">
                    <span class="label-slider">Fold Angle : </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>
                    <!--<input value="" placeholder="" class="form-control" type="text">-->
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                </div>
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        <!--</form>-->
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    </div><!-- /.navbar-collapse -->
    <input id="fileSelector" type="file">

</nav>

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<div  id="threeContainer"></div>
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<canvas id="gpuMathCanvas"></canvas>
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<div id="controls">
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    <div class="sliderInput floatRight" id="creasePercent">
        <span class="label-slider">Fold Angle (-1 to 1) : </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>
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        <input value="" placeholder="" class="float form-control" type="text">
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    </div><br/><br/>
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    <div id="simButtons" class="alignRight">
        <a href="#" id="start" class="paddingBottom btn btn-lg btn-success">Start Simulation</a>
        <a href="#" id="pause" class="paddingBottom btn btn-lg btn-warning">Pause Simulation</a>
        <a href="#" id="reset" class="paddingBottom btn btn-lg btn-default">Reset</a>
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        <div id="stepForwardOptions" class="floatRight">
            <a href="#" id="stepForward" class="btn btn-lg btn-default">Step Forward</a>
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            <label>Num Steps:</label> &nbsp;&nbsp;<input id="numSteps" value="100" placeholder="" class="int form-control" type="text">
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            <br/><br/>
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        </div>
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    </div>
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    <!--<b>Simulation Type:</b><br/>-->
    <!--<div class="indent">-->
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        <!--<label class="radio">-->
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            <!--<input name="simType" value="dynamic" data-toggle="radio" class="custom-radio" type="radio"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>-->
            <!--Compliant Dynamic Simulation <a class="about floatRight" href="#" id="aboutDynamicSim"><span class="fui-question-circle"></span></a>-->
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        <!--</label>-->
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        <!--&lt;!&ndash;<label class="radio">&ndash;&gt;-->
            <!--&lt;!&ndash;<input name="simType" value="static" data-toggle="radio" class="custom-radio" type="radio"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>&ndash;&gt;-->
            <!--&lt;!&ndash;Compliant Static Simulation <a class="about floatRight" href="#" id="aboutStaticSim"><span class="fui-question-circle"></span></a>&ndash;&gt;-->
        <!--&lt;!&ndash;</label>&ndash;&gt;-->
        <!--&lt;!&ndash;<label class="radio">&ndash;&gt;-->
            <!--&lt;!&ndash;<input name="simType" value="rigid" data-toggle="radio" class="custom-radio" type="radio"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>&ndash;&gt;-->
            <!--&lt;!&ndash;Rigid Static Simulation <a class="about floatRight" href="#" id="aboutRigidSim"><span class="fui-question-circle"></span></a>&ndash;&gt;-->
        <!--&lt;!&ndash;</label>&ndash;&gt;-->
    <!--</div><br/>-->
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    <div class="inlineBlock fullWidth">
        <label class="checkbox floatRight" for="userInteractionEnabled">
            <input id="userInteractionEnabled" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
            Allow User Interaction
        </label>
    </div><br/>
    <div class="fullWidth alignRight">
        <a href="#" id="shouldCenterGeo" class="displayBlock btn btn-lg btn-default">Re-center geometry</a>
    </div><br/>
    <div class="fullWidth">
        <a href="#" class="seeMore closed" data-id="simulationSettings"><span class="fui-triangle-down"></span><b>Simulation Settings:</b></a><a class="about" href="#" id="aboutStiffness"><span class="fui-question-circle"></span></a><br/>
        <div id="simulationSettings" class="hide">
            <div class="sliderInput paddingBottom" id="axialStiffness">
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                <span class="label-slider">Axial Stiffness : </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>
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                <input value="" placeholder="" class="float form-control" type="text">
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            </div>
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            <!--<div class="sliderInput paddingBottom" id="triStiffness">-->
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                <!--<span class="label-slider">Triangle Stiffness : </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>-->
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                <!--<input value="" placeholder="" class="float form-control" type="text">-->
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            <!--</div>-->
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            <div class="sliderInput" id="creaseStiffness">
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                <span class="label-slider">Fold Stiffness : </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>
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                <input value="" placeholder="" class="float form-control" type="text">
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            </div>
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                <span class="label-slider">Facet Stiffness : </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>
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                <input value="" placeholder="" class="float form-control" type="text">
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            </div>
            <div class="sliderInput" id="percentDamping">
                <span class="label-slider">Damping (0-1): </span><div class="flat-slider ui-slider ui-corner-all ui-slider-horizontal ui-widget ui-widget-content"></div>
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                <input value="" placeholder="" class="float form-control" type="text">
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            </div>
        </div><br/>
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    </div>
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    <div class="fullWidth">
        <a href="#" class="seeMore closed" data-id="animationsSettings"><span class="fui-triangle-down"></span><b>Animation Settings:</b></a><a class="about" href="#" id="aboutAnimation"><span class="fui-question-circle"></span></a><br/>
        <div id="animationsSettings" class="fullWidth hide">
            <div class="doubleIndent">
                <span class="smallTxt">&Delta;t = <span id="deltaT"></span> seconds</span><br/>
                <span class="smallTxt">Num simulation steps per render: &nbsp;&nbsp;<input id="numStepsPerRender" value="" placeholder="" class="int form-control" type="text"></span>
            </div>
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    <div class="fullWidth">
        <a href="#" class="seeMore closed" data-id="errorInfo"><span class="fui-triangle-down"></span><b>Error:</b></a><a class="about" href="#" id="aboutError"><span class="fui-question-circle"></span></a><br/>
        <div id="errorInfo" class="hide smallTxt doubleIndent">
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            <label>Average vertex error: <span id="globalError"></span></label>
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        </div>
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    </div><br/>

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    <div class="extraSpace"></div>
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</div>
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<div id="svgViewer"></div>
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<div id="controlsLeft" class="flipped">
    <div>
        <b>View Settings:</b><br/><br/>
        <div class="indent">
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            <div>
                <a href="#" class="seeMore open" data-id="materialSettings"><span class="fui-triangle-down"></span>Mesh Material:</a>
            </div>
            <div id="materialSettings" class="inlineBlock indent">
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                <label class="checkbox" for="meshVisible">
                    <input id="meshVisible" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
                    Mesh Visible
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                </label>
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                <div id="meshMaterialOptions">
                    <label class="radio">
                        <input name="colorMode" value="color" data-toggle="radio" class="custom-radio" type="radio"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
                        Colored Material
                    </label>
                    <div id="coloredMaterialOptions" class="indent">
                        <label>Color 1 (rgb hex): &nbsp;&nbsp;</label><input id="color1" value="" placeholder="" class="hexVal form-control" type="text"><br/>
                        <label>Color 2 (rgb hex): &nbsp;&nbsp;</label><input id="color2" value="" placeholder="" class="hexVal form-control" type="text"><br/>
                    </div>
                    <label class="radio">
                        <input name="colorMode" value="normal" data-toggle="radio" class="custom-radio" type="radio"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
                        Face Normals Material
                    </label>
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                    <label class="radio">
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                        <input name="colorMode" value="axialStrain" data-toggle="radio" class="custom-radio" type="radio"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
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                        Strain Visualization<a class="about floatRight" href="#" id="aboutAxialStrain"><span class="fui-question-circle"></span></a>
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                    </label>
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                    <div id="axialStrainMaterialOptions" class="indent">
                        <label>Max Strain: &nbsp;&nbsp;</label>
                        <input id="strainClip" value="" placeholder="" class="float form-control" type="text"> %<br/>
                    </div>
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                </div>
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                <br/>
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            </div><br/>
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            <div>
                <a href="#" class="seeMore closed" data-id="edgeVisiblity"><span class="fui-triangle-down"></span>Edge Visiblity</a>:
            </div>
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            <div id="edgeVisiblity" class="hide indent">
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                <label class="checkbox" for="edgesVisible">
                    <input id="edgesVisible" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
                    Edges Visible
                </label>
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                <div id="edgeVisOptions" class="indent">
                    <label class="checkbox" for="mtnsVisible">
                        <input id="mtnsVisible" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
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                        Mountains <span id="numMtns"></span>
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                    </label>
                    <label class="checkbox" for="valleysVisible">
                        <input id="valleysVisible" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
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                        Valleys <span id="numValleys"></span>
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                    </label>
                    <label class="checkbox" for="panelsVisible">
                        <input id="panelsVisible" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
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                        Facet Creases <span id="numFacets"></span>
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                    </label>
                    <label class="checkbox" for="passiveEdgesVisible">
                        <input id="passiveEdgesVisible" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>
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                        Undriven Edges <span id="numPassive"></span>
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                    </label>
                </div>
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                <br/>
            </div>
            <br/>
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            <!--Rendering:-->
            <!--<div class="indent">-->
                <!--<label class="checkbox" for="ambientOcclusion">-->
                    <!--<input id="ambientOcclusion" data-toggle="checkbox" class="custom-checkbox layersSelector" type="checkbox"><span class="icons"><span class="icon-unchecked"></span><span class="icon-checked"></span></span>-->
                    <!--Ambient Occlusion-->
                <!--</label>-->
            <!--</div>-->
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            <div>
                <a href="#" class="seeMore closed" data-id="virtualReality"><span class="fui-triangle-down"></span>Virtual Reality:</a>
            </div>
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            <div id="virtualReality" class="hide indent smallTxt">
                Status: &nbsp;<span id="VRstatus"></span><a class="about floatRight" href="#" id="aboutVR"><span class="fui-question-circle"></span></a>
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                <div id="VRoptions"><br/>
                    <a href="#" id="enterVR" class="displayBlock btn btn-lg btn-inverse"></a>
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                </div><br/><br/>
            </div><br/>
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            <div class="extraSpace"></div>
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        </div>
    </div>
</div>
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<div class="modal fade" id="aboutModal" tabindex="-1" role="dialog">
    <div class="modal-dialog modal-lg">
        <div class="modal-content">
            <div class="modal-body">
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                <button type="button" class="close" data-dismiss="modal" aria-label="Close">
                  <span aria-hidden="true">&times;</span>
                </button>
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                <p>
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                <b>ORIGAMI SIMULATOR</b><br/><br/>

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                    This app allows you to upload any origami crease pattern and simulate how it will fold.  It uses a physics-based
                    approach to iteratively solve for small displacements in the geometry of an initially flat sheet due to forces
                    exerted by creases.  This physics solver extends work from the following sources: <br/><br/>
                    &nbsp;&nbsp;&nbsp;&nbsp;<a target="_blank" href="http://www2.eng.cam.ac.uk/~sdg/preprint/5OSME.pdf">Origami Folding; A Structural Engineering Approach</a> by Mark Schenk and Simon D. Guest<br/>
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                    &nbsp;&nbsp;&nbsp;&nbsp;<a target="_blank" href="http://www.tsg.ne.jp/TT/cg/TachiFreeformOrigami2010.pdf">Freeform Variations of Origami</a> by Tomohiro Tachi<br/>
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                    <br/>
                    All simulation methods were written from scratch and are executed in parallel in several GPU fragment shaders for fast performance.
                </p><br/>
                    <b>Instructions:</b><br/><br/>
                    <ul>
                        <li>Slide the <b>Fold Angle</b> slider to control the degree of folding of the pattern (1 is fully folded, 0 is unfolded,
                            and -1 is fully folded with the opposite mountain/valley assignments).</li>
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                        <li>Drag to rotate the model, scroll to zoom.</li>
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                        <li>Import other patterns under the <b>Examples</b> menu.</li>
                        <li>Upload your own crease patterns in SVG or FOLD formats, following <a href="#" class="goToImportInstructions">these instructions</a>.</li>
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                        <li>Export FOLD files or 3D models ( STL or OBJ ) of the folded state of your design ( <b>File > Save Simulation as...</b> ).</li>
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                        <li>Visualize the internal strain of the origami as it folds using the <b>Strain Visualization</b> in the left menu.</li>
                        <li>If you are working from a computer connected to a Vive, follow <a href="#" id="goToViveInstructions">these instructions</a>
                            to use this app in an interactive virtual reality mode.</li>
                    </ul>
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                    <br/>
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                    <b>External Libraries:</b><br/><br/>
                    <ul>
                        <li>All rendering and 3D interaction done with <a target="_blank" href="https://threejs.org/">three.js</a></li>
                        <li><a href="https://www.npmjs.com/package/path-data-polyfill" target="_blank">path-data-polyfill</a> helps with SVG parsing</li>
                        <li>Arbitrary polygonal faces of imported geometry are triangulated using the <a target="_blank" href="https://github.com/mapbox/earcut">Earcut Library</a></li>
                        <li><a target="_blank" href="https://jquery.com/">jQuery</a>, <a target="_blank" href="http://getbootstrap.com/">Bootstrap</a>, and the
                            <a target="_blank" href="http://designmodo.github.io/Flat-UI/">Flat UI theme</a> used to build the GUI</li>
                    </ul>
                <p>
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                    <br/>
                    Built by <a href="http://www.amandaghassaei.com/" target="_blank">Amanda Ghassaei</a> as a final project for <a href="http://courses.csail.mit.edu/6.849/spring17/" target="_blank">Geometric Folding Algorithms</a>.
                    Code available on <a href="https://github.com/amandaghassaei/OrigamiSimulator" target="_blank">Github</a>.  If you have interesting crease patterns that would
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                    make good demo files, please send them to me (Amanda) so I can add them to the <b>Examples</b> menu.  My email address is on my website.  Thanks!<br/>
                    <br/>
                    More documentation coming soon.
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                </p>
            </div>
        </div><!-- /.modal-content -->
    </div><!-- /.modal-dialog -->
</div><!-- /.modal -->
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<div class="modal fade" id="tipsModal" tabindex="-1" role="dialog">
    <div class="modal-dialog modal-lg">
        <div class="modal-content">
            <div class="modal-body">
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                <button type="button" class="close" data-dismiss="modal" aria-label="Close">
                  <span aria-hidden="true">&times;</span>
                </button>
                <p><b>FILE IMPORT TIPS</b><br/><br/>
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                    Bad design files will throw errors and create models that explode or cannot be solved, here are some tips for
                    importing FOLD or svg files that work.<br/><br/>
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                    <b>Importing FOLD:</b><br/><br/>
                    The FOLD file format is specified in <a target="_blank" href="https://github.com/edemaine/fold">these docs</a>.
                    This tool imports FOLD v1.0 files with <b>all</b> of the following fields populated:
                    <ul>
                        <li>vertices_coords</li>
                        <li>edges_vertices</li>
                        <li>edges_assignment</li>
                        <li>faces_vertices</li>
                    </ul>
                    If you are unsure whether your FOLD file is valid, you can inspect it using the
                    <a target="_blank" href="https://edemaine.github.io/fold/examples/foldviewer.html">FOLD Viewer</a>.<br/>
                    <br/>
                    <b>Importing SVG:</b><br/><br/>
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                    <ul>
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                        <li>The SVG importer supports path, line, rect, polygon, and polyline objects with the appropriate
                            <a href="https://www.w3schools.com/graphics/svg_stroking.asp" target="_blank">stroke</a> color set:</li>
                        <li>Mountain folds have <span style="color:red">red</span> stroke - rgb(255, 0, 0), hex #ff0000</li>
                        <li>Valley folds have <span style="color:blue">blue</span> stroke - rgb(0, 0, 255), hex #0000ff</li>
                        <li>Outline edges have <span style="color:black">black</span> stroke - rgb(0, 0, 0), hex #000000</li>
                        <li>Hinges (undriven creases) have <span style="color:black">black</span> stroke - rgb(0, 0, 0), hex #000000</li>
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                    </ul>
                    <img src="assets/examplepattern.jpg"/>
                    <ul>
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                        <li>This tool will automatically triangulate regions in the pattern that form polygons with more than three sides.
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                        To control the triangulations draw lines in <span style="color:#cccc00">yellow</span> - rgb(255, 255, 0), hex #ffff00<br/>
                        In general, patterns move better when their triangulation is symmetric and minimizes long, skinny triangles.</li>
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                    </ul>
                    <img src="assets/patternwithtriangulations.jpg"/>
                    <ul>
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                        <li>Line style and stroke width do not matter.</li>
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                        <li>The final fold angle of a mountain or valley fold is set by its opacity. For example, 1.0 = 180&deg;
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                        (fully folded), 0.5 = 90&deg;, 0 = 0&deg; (flat).  Any fold angle between  0&deg; and 180&deg; may be used.</li>
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                        <li>This tool should be able to automatically clean files of slightly misaligned vertices, stray vertices,
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                        duplicate lines, and extra vertices falling in the middle of an edge,
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                        but it is recommended to remove these errors yourself in order to avoid problems.</li>
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                        <li>If your simulation is not working, check that the pattern looks correct by clicking on the "Pattern" view in the top nav bar.</li>
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                    </ul><br/>

                <b>For Adobe Illustrator users:</b><br/><br/>
                I use Illustrator to create SVGs (though any vector editing program should be fine), here are some tips I've found for making svgs to import into this tool.<br/><br/>
                    <ul>
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                        <li>If you are starting with a pre-made vector file, first ungroup any groups, release all compound paths
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                        (<b>Select all + Object > Compound Path > Release</b>), and release all clipping masks (<b>Select all + Object > Clipping Mask > Release</b>).</li>
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                        <li>Create geometry using the <b>Line Segment Tool</b>.</li>
                        <li>Illustrator can help you select all lines of a particular type so that you can edit their color or opacity together.  Click the line,
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                        then go to <b>Select > Same > Appearance</b> to select all similar lines in the pattern.
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                        <li>Finally hit <b>Save As</b> and select <b>.svg</b> extension. I'm using the default SVG 1.1 settings, but version 1.0 will work as well.</li>
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                    </ul>
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                </p>
            </div>
        </div><!-- /.modal-content -->
    </div><!-- /.modal-dialog -->
</div><!-- /.modal -->
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<div class="modal fade" id="aboutVRmodal" tabindex="-1" role="dialog">
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    <div class="modal-dialog modal-lg">
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        <div class="modal-content">
            <div class="modal-body">
                <button type="button" class="close" data-dismiss="modal" aria-label="Close">
                  <span aria-hidden="true">&times;</span>
                </button>
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                <p><b>VIRTUAL REALITY</b><br/><br/>
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                This tool currently supports an interactive Virtual Reality mode using the Vive headset and controllers.
                For this to work, you must first use a <a href="https://webvr.info/" target="_blank">WebVR enabled browser</a>:
                currently only <a href="https://webvr.rocks/firefox" target="_blank">Firefox Nightly</a> is supported by this app.
                <br/><br/>
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                When you open this page with the appropriate browser and a Vive connected through Steam VR, you will see a button that says "Enter VR".  Clicking this will
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                put the app into an interactive VR mode.  The hand controllers will allow you to grab the origami mesh and pull on it.
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                This is especially interesting if you set the <b>Mesh Material</b> to <b>Strain Visualization</b> so you can see how your interactions
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                change the internal strains in the material.
                <br/><br/>
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                If the simulation looks choppy, consider lowering the <b>Num simulation steps per render</b> setting under <b>Animation Settings</b> in the right hand menu.
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                <br/><br/>
                    VR mode currently does not support all the UI of the regular app, so you will need someone in the "outside world" to
                    help you load new files, change the fold angle, etc.
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                </p>
            </div>
        </div><!-- /.modal-content -->
    </div><!-- /.modal-dialog -->
</div><!-- /.modal -->
<div class="modal fade" id="aboutAnimationModal" tabindex="-1" role="dialog">
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    <div class="modal-dialog modal-lg">
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        <div class="modal-content">
            <div class="modal-body">
                <button type="button" class="close" data-dismiss="modal" aria-label="Close">
                  <span aria-hidden="true">&times;</span>
                </button>
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                <p><b>ANIMATION SETTINGS</b><br/><br/>
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                The dynamic simulation is calculated by solving for all the forces in the system, moving time forward in small <b>&Delta;t</b> steps,
                and updating the vertices of the origami incrementally.  The time step size for this animation is calculated automatically
                based on the material stiffnesses set in the <b>Simulation Settings</b> section: more stiff settings
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                require shorter time steps to solve and will slow down the simulation.<br/>
                <br/>
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                <b>Num simulation steps per render</b> allows you to control the number of tiny time steps forward to take on each
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                render cycle.  If the simulation looks choppy to you, you might consider lowering this setting.
                Lowering the number of steps per render will slow down the simulation, but will result in a more smooth animation.
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                </p>
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            </div>
        </div><!-- /.modal-content -->
    </div><!-- /.modal-dialog -->
</div><!-- /.modal -->
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<div class="modal fade" id="exportSTLModal" tabindex="-1" role="dialog">
    <div class="modal-dialog modal-med">
        <div class="modal-content">
            <div class="modal-body">
                <button type="button" class="close" data-dismiss="modal" aria-label="Close">
                  <span aria-hidden="true">&times;</span>
                </button>
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                <b>EXPORT STL</b><br/><br/>
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                Filename: &nbsp;&nbsp;<input id="stlFilename" value="" placeholder="" class="bigInput text form-control" type="text"> .stl<br/><br/>
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                Scale: &nbsp;&nbsp;<input value=""