I made this chiral polyhedron using *Stella 4d*, which you can try for yourself — free — at this website. It is a faceted form of the pentagonal hexecontahedron, which is the dual of the snub dodecahedron.

# Tag Archives: Mathematics

# The Four Gas Giants on the Faces of a Dodecahedron

These images of Jupiter, Saturn, Uranus, and Neptune were all acquired by NASA. I placed them on this polyhedron, and created this rotating .gif, using *Stella 4d*, which you can try for free at this website.

# The Galilean Moons of Jupiter on a Rotating Rhombic Dodecahedron

These images of Ganymede, Io, Callisto, and Europa were all acquired by NASA. I placed them on this polyhedron, and created this rotating .gif, using *Stella 4d*, which you can try for free at this website.

# Two Views of a Faceted Dodecahedron

This is one of many possible facetings of the dodecahedron. It’s colored by face type above, and is shown in “rainbow color mode” below. I made both rotating images using *Stella 4d*, which you can try for free at this website.

## A Tessellation Featuring Regular Enneagons and Triangles, as Well as Concave Octagons and Six-Pointed Stars

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# Four Polyhedra with 7-Fold Pyramidal Symmetry

# A Caffeinated Rhombic Dodecahedron

This image of a caffeine molecule comes from this website. I put it on the faces of this rhombic dodecahedron, and created this rotating model, using *Stella 4d: Polyhedron Navigator*, which you can try for free right here.

## Tessellation Featuring Squares, Regular Heptagons, and Two Types of Four-Pointed Stars

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# Tessellation Featuring Regular Heptagons and Triangles, as Well as Four- and Six-Pointed Stars

It’s difficult to work regular heptagons into a symmetrical pattern, so I’m quite proud of this one.