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 A Second Type of Double Icosahedron, and Related Polyhedra
 Augmenting, and Then Reaugmenting, the Icosahedron, with Icosahedra
 The Double Icosahedron, and Some of Its “Relatives”
 Two Excellent Mathematical Websites
 The Compound of the Octahedron and the Small Stellated Dodecahedron
 A Zoo of Zonohedra
 Seven Different Facetings of the Truncated Icosahedron
 Four Symmetrohedra
 Some TenPart Polyhedral Compounds
 Augmenting the Dodecahedron with Great Dodecahedra
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Tag Archives: zonohedra
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
Zonohedrified Rhombicosidodecahedron with 870 Rhombic Faces
Manipulating known polyhedra in the effort to find new ones, as I did here, is made easy with Stella 4d, a program available at this website.
Posted in Mathematics
Tagged 870, geometry, Mathematics, polyhedra, polyhedron, rhombi, rhombic faces, rhombus, zonohedra, zonohedron
2 Comments
A Zonohedron with 1382 Faces
I used Stella 4d to make this zonohedron. This program may be tried for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
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