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 Spectral Circles #3
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 One Dozen Icosahedra
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 A Radial Tessellation Using Three Types of Rhombi
 A Radial Tessellation Using Two Types of Rhombi
 A Zonohedron with 1382 Faces, Based on the Rhombicosidodecahedron
 Spectral Circles #2
 Four Different Faceted Versions of the Rhombicosidodecahedron
 Cluster of 31 Rhombic Triacontahedra
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Tag Archives: zonohedra
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
3 Comments
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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Six Zonohedra
Zonohedra are a subset of polyhedra. In a zonohedron, all the faces are zonogons. A zonogon is a polygon with an even number of sides, as well as having opposite sides both congruent and parallel. This small collection of rotating … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
1 Comment