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Tag Archives: polyhedra
A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron
In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own. These images were made using Stella 4d, software you may try … Continue reading
Posted in Mathematics
Tagged compound, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, stellated
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One Dozen Icosahedra
I made this using Stella 4d, software you can try for yourself right here.
Posted in Mathematics
Tagged geometry, icosahedra, icosahedron, Mathematics, polyhedra, polyhedron
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A Zonohedron with 1382 Faces, Based on the Rhombicosidodecahedron
This zonohedron was formed from zones based on the faces, edges, and vertices of a rhombicosidodecahedron. The first image shows it colored by face type. The second image has the faces colored by number of sides. Finally, here’s one in … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
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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
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedron, trapezohedra, trapezohedron
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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
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron, space-filling, truncated octahedron
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Three Facetings of the Icosidodecahedron
I made these using Stella 4d, which you can try for free here.
Posted in Mathematics
Tagged faceted, feceting, geometry, icosidodecahedron, Mathematics, polyhedra, polyhedron
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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
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron, small, stellated
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