You can’t see the icosidodecahedron here, for it is hidden in the center. Each of its triangular faces is augmented with an icosahedron, and each of its pentagonal faces is augmented with a dodecahedron.
Software credit: see http://www.software3d.com/stella.php (free trial download available).
Website where you can try the software used to create this image: http://www.software3d.com/stella.php
I bought this program, Stella 4d, years ago, and have never regretted it. It is one of the most powerful tools available for doing work at the intersection of art and mathematics.
Like all nulloids, this has zero volume. It may be seen as six intersecting, regular decagons. Some consider nulloids a subset of polyhedra; others do not.
I made this using Stella 4d, which you can find at http://www.software3d.com/stella.php.
Check out http://www.software3d.com/stella.php to try the software used to make this image.
In this polyhedron, there are, easily visible, twenty light blue faces which are equilateral triangles. Inside the polyhedron (and therefore harder to spot) are thirty purple faces which are Golden rectangles, along with twelve large, orange regular pentagonal faces.
To try the software I used to make this polyhedron, please visit www.software3d.com/stella.php.
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