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Tag Archives: dodecahedra
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
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, small, stellated
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Augmenting the Dodecahedron with Great Dodecahedra
These two polyhedra are the dodecahedron (left), and the great dodecahedron (right). Since the faces of both of these polyhedra are regular pentagons, it is possible to augment each of the dodecahedron’s twelve faces with a great dodecahedron. Here is … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron
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A Dozen Pulsating Dodecahedra
To make this using Stella 4d (available here) I started with an icosahedron, placed a dodecahedron on each of its vertices, then rendered the central icosahedron invisible. The slight pulsating effect is caused by the program fitting the polyhedra tightly … Continue reading
Posted in Art, Mathematics
Tagged Art, dodecahedra, dodecahedron, dozen, geometric, geometrical, geometry, mathematical, Mathematics
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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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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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92 Dodecahedra, Arranged as a Single Rhombic Triacontahedron
With 92 dodecahedra, if you arrange them just right, you can make a model of a rhombic triacontahedron: For purposes of comparison, here is what the rhombic triacontahedron normally looks like: Also, referring back to the first model shown, here … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, polyhedra, polyhedron, rhombic triacontahedron
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