processing sketch

CreasePatternScripts/Hypar/Hypar.pde

+import processing.pdf.*;
+
+float numSegs = 100;//number of radial segments, this can be reduced to 4 to do a regular hypar
+float outerRad = 200;//radius of outer border
+float spacing = 8;//radial space between neighboring creases
+int numPleats = 7;//number of mountain/valley pairs of circular creases
+
+boolean antisym = true;//symmetric vs antisymmetric triangulation
+boolean triangulationsAsHinges = false;//draw triangulations as facets creases (yellow) or undriven hinges (magenta)
+
+void setup(){
+  
+  size(450, 450);
+  
+  //tessellation
+  beginRecord(PDF, "Hypar.pdf"); 
+  background(255);
+  pushMatrix();
+  translate(width/2, height/2);
+  
+  //outer border
+  stroke(0);
+  drawRing(outerRad);
+  
+  //creases and triangulations
+  float rad = outerRad;
+  for (int i=0;i<numPleats;i++){
+    drawHinges(rad, true);
+    rad -= spacing;
+    stroke(255,0,0);
+    drawRing(rad);
+    drawHinges(rad, false);
+    rad -= spacing;
+    stroke(0,0,255);
+    drawRing(rad);
+  }
+  drawHinges(rad, true);
+  
+  //inner border
+  rad -= spacing;
+  stroke(0);
+  drawRing(rad);
+  
+  //radial facet creases
+  stroke(255,255,0);
+  for (float i=0;i<numSegs;i++){
+    float theta = i/numSegs*2*PI;
+    line(outerRad*cos(theta), outerRad*sin(theta), rad*cos(theta), rad*sin(theta));
+  }
+  
+  endRecord();
+  println("Finished.");
+//  exit();
+}
+
+void drawHinges(float rad, boolean opp){
+  if (triangulationsAsHinges) stroke(255,0,255);
+  else stroke(255,255,0);
+  for (float i=0;i<numSegs;i++){
+    float theta = i/numSegs*2*PI;
+    if (antisym){
+      if (opp){
+        if (i%2==0) line(rad*cos(theta), rad*sin(theta), (rad-spacing)*cos(theta-1.0/numSegs*2*PI), (rad-spacing)*sin(theta-1.0/numSegs*2*PI));
+        else line((rad-spacing)*cos(theta), (rad-spacing)*sin(theta), rad*cos(theta-1.0/numSegs*2*PI), rad*sin(theta-1.0/numSegs*2*PI));
+      } else {
+        if (i%2==1) line(rad*cos(theta), rad*sin(theta), (rad-spacing)*cos(theta-1.0/numSegs*2*PI), (rad-spacing)*sin(theta-1.0/numSegs*2*PI));
+        else line((rad-spacing)*cos(theta), (rad-spacing)*sin(theta), rad*cos(theta-1.0/numSegs*2*PI), rad*sin(theta-1.0/numSegs*2*PI));
+      }
+    } else{
+      if (i%2==0) line(rad*cos(theta), rad*sin(theta), (rad-spacing)*cos(theta-1.0/numSegs*2*PI), (rad-spacing)*sin(theta-1.0/numSegs*2*PI));
+      else line((rad-spacing)*cos(theta), (rad-spacing)*sin(theta), rad*cos(theta-1.0/numSegs*2*PI), rad*sin(theta-1.0/numSegs*2*PI));
+    }
+  }
+}
+
+void drawRing(float rad){
+  for (float i=0;i<numSegs;i++){
+    float theta = i/numSegs*2*PI;
+    line(rad*cos(theta), rad*sin(theta), rad*cos(theta-1.0/numSegs*2*PI), rad*sin(theta-1.0/numSegs*2*PI));
+  }
+}
+
+

CreasePatternScripts/Hypar/sketch.properties

+mode.id=processing.mode.java.JavaMode
+mode=Java

CreasePatternScripts/README.md

+These are <a href="https://processing.org/" target="_blank">Processing</a> scripts I used to generate crease patterns 
+for some of the examples in the app.  Processing exports pdfs with a 
+clipping mask, you will need to pull this into a vector editing program to remove
+the clipping mask and save as SVG before importing it into the Origami Simulator app.
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