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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.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron
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Four Sets of Five Circles On Each of the Faces of a Dodecahedron
After using Geometer’s Sketchpad and MSPaint 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
Posted in Art, Mathematics
Tagged Art, dodecahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
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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 polyhedralmanipulation software I use (available here), set to use tetrahedral symmetry, rather than the higherorder icosahedral symmetry (which I often call “icosidodecahedral” symmetry) inherent to … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, hybrid, Mathematics, offspring, polyhedra, polyhedron, stellated, stellation, tetrahedron
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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.
Posted in Mathematics
Tagged compound, dodecahedra, dodecahedron, geometry, Mathematics, polyhedra, polyhedron, pyritohedral
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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 sevendie set which includes the five Platonic Solids, plus two “d10s” (either tenfaced dipyramids or trapezohedra) which are used as … Continue reading
Posted in Life, Mathematics
Tagged D&D, d12, dice, die, dodecahedra, dodecahedral, dodecahedron, Dragons, Dungeons, Dungeons & Dragons, fair dice, game, geometry, Mathematics, polyhedra, polyhedral, polyhedron, RPG, symmetry, unusual
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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
Partially Truncated Platonic and Rhombic Dodecahedra
Each of these dodecahedra were modified by truncations at exactly four of their threevalent 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
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, Mathematics, partial, Platonic, polyhedra, polyhedron, rhombic, truncated, truncation
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