Zome Hyperdodecahedron

This is one projection of the four-dimensional hyperdodecahedron, or 120-cell, rendered in Zome. All the part for this come in a single kit, and, if you want it for yourself, you can find it for sale at this website.


I did have student help with the construction of this, for which I am grateful. However, for legal and ethical reasons, I cannot credit the students by name.

Here’s a closer view, through the “core” of all-blue pentagons:


Zome is a great product. I recommend it strongly, and without reservation (and no, they aren’t paying me anything to write this).

Slowly Rotating Hyperdodecahedron

This is the hyperdodecahedron, or 120-cell, one of the six four-dimensional analogs of the Platonic solids. It’s been shown on this blog before, but this image has one major change: a much slower rotational speed. It is my hope that this will help people, including myself, with the difficult task of understanding four-dimensional objects.

5-Hi, 120-cell, Hecatonicosachoron

This image was created using Stella 4d, a program you can try, as a free trial download, at this website.

The Hyperspace Analog of the Dodecahedron/Icosahedron Compound


The Hyperspace Analog of the Dodecahedron/Icosahedron Compound

The dodecahedron and the icosahedron are dual to each other, and can be combined to make this well-known compound.


In hyperspace, the analog to the dodecahedron is the hyperdodecahedron, also known as the 120-cell, as well as the hecatonicosachoron. Its dual is the 600-cell, or hexacosichoron, made of 600 tetrahedral cells. The image at the top is the compound of these two polychora, rotating in hyperspace.

These images were made using Stella 4d, available at http://www.software3d.com/Stella.php.

Another View of the Hyperdodecahedron


Another View of the Hyperdodecahedron

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).