Tag Archives: dodecahedron

The Dodecahedron, Made from Smaller Polyhedra

The polyhedra at the vertices are rhombic triacontahedra, and the yellow edges are elongated rhombic prisms. This was made using Stella 4d, software you may try for free at this website.

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Four Sets of Five Circles On Each of the Faces of a Dodecahedron

After using Geometer’s Sketchpad and MS-Paint to make the image on the faces (seen alone in the last post), I then used Stella 4d: Polyhedron Navigator to project these images onto a red dodecahedron, and create this .gif. Stella is … Continue reading

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A Hybrid of the Tetrahedron and the Great Dodecahedron

I made this by stellating a dodecahedron repeatedly, but doing so with Stella 4d, the polyhedral-manipulation software I use (available here), set to use tetrahedral symmetry, rather than the higher-order icosahedral symmetry (which I often call “icosidodecahedral” symmetry) inherent to … Continue reading

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A Compound of Two Pyritohedral Dodecahedra

I made this compound using Stella 4d, a program which is available here: http://www.software3d.com/Stella.php.

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On Convex, Dodecahedral “Fair Dice”

One of my early introductions to polyhedra came through playing the game Advanced Dungeons and Dragons (AD&D), which uses a standard seven-die set which includes the five Platonic Solids, plus two “d10s” (either ten-faced dipyramids or trapezohedra) which are used as … Continue reading

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The Small Ditrigonal Icosidodecahedron, Together with Its Fifth Stellation

I made the polyhedron above by performing a faceting of the dodecahedron, and only realized, after the fact, that I had stumbled upon one of the uniform polyhedra, a set of polyhedra I have not yet studied extensively. It is … Continue reading

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Partially Truncated Platonic and Rhombic Dodecahedra

Each of these dodecahedra were modified by truncations  at exactly four of their three-valent vertices. As a result, each has four equilateral triangles as faces. In the one above, the Platonic dodecahedron’s pentagonal faces are modified into a dozen irregular … Continue reading

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