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Tag Archives: dual
An Expansion of the Rhombic Enneacontahedron with 422 Faces, Together with Its 360Faced Dual
The polyhedron above had 422 faces and 360 vertices. In dual polyhedra, these numbers are reversed, so the next polyhedra (the dual of the first one) has 360 faces and 422 vertices. Both were created using Stella 4d, available here.
The Snub Dodecahedron and Related Polyhedra, Including Compounds
The dual of the snub dodecahedron (above) is called the pentagonal hexacontahedron (below, left). The compound of the two is shown below, at right. (Any of the smaller images here may be enlarged with a click.) Like all chiral polyhedra, … Continue reading
A Torus and Its Dual, Part II
After I published the last post, which I did not originally intend to have two parts, this comment was left by one of my blog’s followers. My answer is also shown. A torus can be viewed as a flexible rectangle rolled into … Continue reading
A Torus and Its Dual, Part I
The torus is a familiar figure to many, so I chose a quick rotational period (5 seconds) for it. The dual of a torus — and I don’t know what else to call it — is not as familiar, so, … Continue reading
A Zonish Polyhedron with 522 Faces, Together with Its 920Faced Dual
The polyhedron above is a 522faced zonish polyhedron, which resembles, but is not identical to, a zonohedron. True zonohedra are recognizable as that type of polyhedron by their exclusively zonogonal faces. Zonogons are polygons with even numbers of sites, and … Continue reading
Posted in Mathematics
Tagged dual, geometry, Mathematics, polyhedra, polyhedron, zonish, zonogon, zonohedra, zonohedron
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The Compounds of Five Octahedra and Five Cubes, and Related Polyhedra
This is the compound of five octahedra, each a different color. Since the cube is dual to the octahedron, the compound of five cubes, below, is dual to the compound above. Here are five cubes and five octahedra, compounded together, … Continue reading
Posted in Mathematics
Tagged compound, cubes, dual, geometry, Mathematics, octahedra, octahedron, polyhedra, polyhedron, stellated, stellation
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