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Tag Archives: zonohedra
Thirteen Zonohedra with Cuboctahedral Symmetry
You can make these images larger by clicking on them. These were all created using Stella 4d, which you can try for free right here.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
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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 Zonohedron Featuring Hexadecagons
I stumbled upon this zonohedron by adding zones to a truncated octahedron, based on its faces, edges, and vertices. It was created using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php. To the best of my recollection, this … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, truncated octahedron, zonohedra, zonohedron
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A Second Type of Double Icosahedron, and Related Polyhedra
After seeing my post about what I called the “double icosahedron,” which is two complete icosahedra joined at one common triangular face, my friend Tom Ruen brought my attention to a similar figure he likes. This second type of double icosahedron … Continue reading
Posted in Mathematics
Tagged double, geometry, gyroelongated pentagonal pyramid, icosahedron, J11, Mathematics, polyhedra, polyhedron, stellated, stellation, zonohedra, zonohedron
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A Zoo of Zonohedra
Zonohedra are a subset of polyhedra with all faces in pairs of parallel and congruent zonogons. Zonogons are polygons with sides which occur only as parallel and congruent pairs of line segments. As a consequence of this, the faces of … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
2 Comments
A Zonohedron with 7802 Faces
Zonohedra with surprisingly large numbers of faces are easy to make with Stella 4d: Polyhedron Navigator. This program is sold at http://www.software3d.com/Stella.php, where there is also a free trial download offered.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
1 Comment
Nine Zonohedra
Software used to make these gifs: Stella 4d, available here.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
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