This regular polytope (four-dimensional version of a polyhedron) is rotating in hyperspace. If you could see it there, you’d notice that all 120 dodecahedral cells have the same volume.
Created with Stella 4d (site to try it: http://www.software3d.com/Stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
This was created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Also, here is a multi-colored version, made with the same software:
This is the dual of the polyhedron from the previous post, although without any faces rendered invisible, as was the case with that one. I find it strongly reminiscent of the rhombic triacontahedron, but it has twice as many rhombi (sixty), as well as twenty triangles. Unlike the rhombic triacontahedron, this figure is chiral.
I can’t think of an appropriate name for this, so, if anyone has one, please leave your suggestion in a comment.
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).
I find the interference patterns in this diagram interesting. They’re an artifact of the computer display, of course — if you were seeing this on paper, it would look quite different.
In the program I used to make these (Geometer’s Sketchpad), you can select various objects. If everything is selected here, the interference pattern changes:
One of the coolest things about the software I use to make these .gifs is the accidental discoveries. I didn’t even know this compound was possible until I stumbled upon it with Stella 4d. You can try this software at http://www.software3d.com/stella.php.
This is the dual of the previous post.
Note: The software I used to create this is available as a free trial download at http://www.software3d.com/stella.php.
The faces of this are twelve interpenetrating regular pentagons, and twenty 6/2-gons (a type of star hexagon that looks like a radiation symbol).
This was created using software, Stella 4d, which you can find and try at http://www.software3d.com/stella.php.
RobertLovesPi.net 