In my last post I presented the tricolor model of Waterman polyhedra that allowed me to visualize individual planes in this shape much easier than before. Of course, after making the model with spheres, I set about applying it to a Waterman-Lintinen polyhedron made of cylinders, very much like what I had done decently well with two colors. But once I had converted most of the spheres into cylinders, I began looking at the shape with more skeptical eyes than before. The reaso

This past week I’ve been slowly polishing the visual representations of my theory, and in the process I was learning a bit more about how the structure is grown. I had already illustrated the shape in my post “The Perfect Cylinder-Sphere”, but I thought I could make the shape ‘pop out’ more. In the post “The Waterman-Lintinen Cylinder Crystal” I showed the inner structure of the crystal. However, I wasn’t fully happy with the way the coloring expressed the crystal layer. That

Note: I posted a version of this post earlier today, but because I wasn’t happy with how the 3D model looked, I rewrote the text a bit and made a recolored model. In my last post I showed how to cut a cubic array of spheres into quasi-cylindrical zig-zag crystal. At the end of the post, I talked about how the shape can be multiplied into six copies that can be rotated to fill a circular volume with no gaps or overlaps. But it’s one thing to talk about something and another