Stella 4d: Polyhedron Navigator is selling at 25% off to help cure the boredom of people in isolation because of COVID-19. This software is used to make almost all of the polyhedral images on this blog. Trying the program to see if you like it is free. The website to visit to try Stella is http://www.software3d.com/Stella.php.
Two of the heptagrams are centered in the middle, while the other fourteen are smaller, and form a ring around the two in the center.
The ten pentagrams meet at a common vertex in the center.
The patterns on the faces are from the last post here, immediately before this one. I used Stella 4d: Polyhedron Navigator to make this, and you can try this software for free at this website.
The fourteen heptagrams, also known as {7/3} star heptagons, meet at a common vertex in the center of the whole diagram. I did the math using Geometer’s Sketchpad, and then colored the result using MS-Paint.
It’s hard to get regular pentagons, regular star pentagons, regular decagons, and related polygons to tessellate the plane while maintaining radial symmetry. This is my latest attempt.
To get started packing space with cuboctahedra and octahedra, I started with a single octahedron, then augmented its square faces with additional cuboctahedra.
Next, I augmented each triangular face with a blue octahedron.
Next, I augmented each square face with a cuboctahedron.
Next, I added still more cuboctahedra.
The next step was to augment the yellow triangular faces with blue octahedra.
I next added more cuboctahedra.
This process may be continued without limit. I used a program called Stella 4d to make these models, and you can try this software yourself, for free, at this website.
I made this using Stella 4d, software you can try for free at this website.
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