Reflection Tealight

thingiverse

This is a teapot created with ShapeJS. Sized to accept standard LED lights. The code takes an image and tilts it around a sphere to make interesting patterns. Instructions Go to shapejs.shapeways.com and use this code. It takes one file parameter which is the image to tilt around the sphere. // // Teapot example using polyhedra reflection // // author Vladimir Bulatov // author Alan Hudson // var TAU = (Math.sqrt(5)+1)/2; // golden ratio var PI = Math.PI; // Returns plane via 3 points (v1, v2, v3) function getPlane(v1,v2,v3){ var n = new Vector3d(); n.cross(v2,v3); n.normalize(); return ReflectionSymmetry.getPlane(n, 0); } function getOctahedralSymmetry( ){ var v6 = new Vector3d(1,0,-TAU); // vertex of octahedron var p46 = new Vector3d(); // normal to plane via (0, v2, v6) p46.cross(v6,v2); p46.normalize(); var spplanes = new Array(); var count = 0; spplanes[count++] = new ReflectionSymmetry.getPlane(new Vector3d(-1,0,0), 0.); spplanes[count++] = new ReflectionSymmetry.getPlane(new Vector3d(0,-1,0), 0.); spplanes[count++] = new ReflectionSymmetry.getPlane(p46, 0.); return new ReflectionSymmetry(spplanes); } function getSphereTilt(fixedRadius, tiltAmount, offset){ var center = fixedRadius*fixedRadius/tiltAmount; var radius = Math.sqrt(center*center + fixedRadius*fixedRadius); var cp = new CompositeTransform(); cp.add(new PlaneReflection(new Vector3d(0,0,-1), new Vector3d(0,0,-offset))); cp.add(new SphereInversion(new Vector3d(0,0,-center + offset), radius)); return cp; } function getImage(radius, thickness, path){ var voxelSize = 0.2*MM; var image = new DataTransformer(); image.setSource(path); return image; } // Create a hole for the tea light to be placed through function getLightHole(hole,outside) { var cyl = new Cylinder(new Vector3d(0,0,-outside), new Vector3d(0,0,-hole)); return cyl; } // Create a rim around the light hole function getRim(hole,radius,thickness){ var cr = hole + thickness; // Calculate intersection location of cylinder with sphere var loc = radius - (radius - Math.sqrt(radius * radius - cr * cr)) + thickness; var outer = new Cylinder(new Vector3d(0,loc,0), new Vector3d(0,loc+thickness,0), hole + thickness); var inner = new Cylinder(new Vector3d(0,loc,0), new Vector3d(0,loc+thickness,0), hole); var rim = new Subtraction(outer,inner); return rim; } function main(arg){ var radius = 31.1*MM; var thickness = 1.0*MM; var voxelSize = 0.2*MM; var a = -radius - 2*thickness; var path = arg[0]; var image = getImage(radius,thickness, path); var reflectedImage = new Union(); reflectedImage.add(image); reflectedImage.setTransform(getOctahedralSymmetry()); var subtract = new Subtraction(reflectedImage, getLightHole(20*MM,a)); var rim = getRim(20*MM,radius,1.25*MM); var teapot = new Union(subtract, rim); var maker = new GridMaker(); maker.setSource(teapot); var dest = createGrid(-a,-a,a,a,-a,-a,voxelSize); maker.makeGrid(dest); return dest; }