Monthly Archives: September 2018

Enneagon with Rays #2

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Enneagon with Rays

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A Compound of Three Trapezohedra

I came across this little beauty while exploring stellations of the triakis octahedron, which is the dual of the truncated cube. Its three components are each eight-faced trapezohedra, and it showed up as the sixth in that stellation-series. Stella 4d: … Continue reading

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Space-Filling Truncated Octahedra in a Rhombic Dodecahedral Cluster

The truncated octahedron is well-known as the only Archimedean solid which can fill space, by itself, without leaving any gaps. The cluster below shows this, and has the overall shape of a rhombic dodecahedron. It’s easier to see the rhombic … Continue reading

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Three Facetings of the Icosidodecahedron

I made these using Stella 4d, which you can try for free here.

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Three Versions of a Compound of the Great and Small Stellated Dodecahedra

In the first version of this compound shown here, the great stellated dodecahedron is shown in yellow, while the small stellated dodecahedron is shown in red. In the next version, each face has its own color, except for those in … Continue reading

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A Faceted Version of the Truncated Cube

This is the truncated cube, which is one of the Archimedean solids. To make a faceted version of this solid, one must connect at least some of the vertices in different ways. Doing that creates new faces. This faceted version … Continue reading

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