Here’s my prototype of a Penfractal Dodecahedron Tessellation. It’s a 3-D evolution my Penfractal Tessellation. Each face of the dodecahedron is subdivided into six smaller pentagons. The model also makes a reasonable representation of the dodecahedral analog of the tesseract, albeit in 3-d hyperbolic space rather than true 4-d space (trust me on this; I looked it up). Now that my proof of concept is done, I want make another version that’s more ball shaped by making the tessellated sub-faces bulge out. And you should know that although I almost always work with a square sheet, I’m considering using a pentagon for this one, so I don’t have to deal with all different ways to handle the unused paper in the corners. I think the subject may justifiy this.
I’ve been folding lots of other stuff too. I’ve perfected my dog and cat and made a whole bunch over the weekend. A few are to give away, and others are for my exhibit and the convention model menu. Soon as I get around to it I’ll take some pictures with the good camera. I’ve also been invited to contribute a model to an upcoming exhibit. More on that soon. The model they want is my Zeppelin. This is one of my hardest models. In fact I’ve only really successfully folded one. I’ve been meaning to fold one out of better paper for a long time. So now I’m making two, one for me and one for the exhibit. Luckily I diagrammed the first half of the model (the precreasing part) so I don’t have to work that out.
If I get that done in time, my next model will be a new attempt at a one-sheet Stellated Dodecahedron, since it uses the same base as the Dodecahedron Tessellation.
