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 The Eighteenth Stellation of the Rhombicosidodecahedron Is an Interesting Polyhedral Compound
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Tag Archives: tetrahedron
An Offspring of a Dodecahedron and a Tetrahedron
To make this polyhedron, I first changed the symmetrytype of a dodecahedron from icosahedral to tetrahedral, then stellated it twice. This was done using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, hybrid, isocahedral symmetry, Mathematics, offspring, polyhedra, polyhedron, stellation, tetrahedral symmetry, tetrahedron
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Compound of Two Tetrahedral Wedges
I made this with Stella 4d, a program you can try for yourself right here.
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedral, polyhedron, tetrahedra, tetrahedron, wedge
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An Oblique Truncation of the Tetrahedron
This polyhedron has sixteen faces: four equilateral triangles, and a dozen kites. It was created using Stella 4d, which may be found at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, kite, Mathematics, oblique, polyhedra, polyhedron, tetrahedral, tetrahedron, truncated
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Compound of Three Tetrahedral Wedges
Software used: Stella 4d, available here.
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedron, tetrahedra, tetrahedron
1 Comment
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
2 Comments
A Dodecahedron with Four SymetricallyTruncated Vertices
Dodecahedra have icosahedral (also called icosidodecahedral) symmetry. In the figure above, this symmetry is changed to tetrahedral, by truncation of four vertices with positions corresponding to the vertices (or, instead, faces) of a tetrahedron. The interchangeability of vertices and faces … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, symmetry, tetrahedral, tetrahedron, truncated
4 Comments