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Tag Archives: expanded
An Expansion of the Rhombicosidodecahedron
This expanded version of the rhombicosidodecahedron has, as faces, 30 rhombi, 60 almostsquare trapezoids, twelve regular pentagons, and twenty equilateral triangles, for a total of 122 faces. I made it using Stella 4d, software you may try for free at … Continue reading →
Posted in Mathematics

Tagged expanded, expansion, geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedron

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An Expanded Version of the Snub Cube
To make this polyhedron, I started with a snub cube. Next, I augmented all triangular faces of it with prisms, then took the convex hull of the result. Finally, I used Stella 4d‘s “try to make faces regular” function on the … Continue reading →
Posted in Mathematics

Tagged expanded, geometry, Mathematics, polyhedra, polyhedron, snub cube

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A Twisted Expansion of the Truncated Octahedron
I made this variant of the truncated octahedron using Stella 4d: Polyhedron Navigator. You may try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics

Tagged expanded, geometry, Mathematics, polyhedra, polyhedron, truncated octahedron, twist, twisted

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An Expanded Snub Dodecahedron
To make this polyhedron, I started with a snub dodecahedron. Next, I augmented all triangular faces of it with prisms, then took the convex hull of the result. Finally, I used Stella 4d‘s “try to make faces regular” function on … Continue reading →
Posted in Mathematics

Tagged expanded, geometry, Mathematics, polyhedra, polyhedron, snub dodecahedron

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A Polyhedral Journey, Beginning With an Expansion of the Rhombic Triacontahedron
The blue figure below is the rhombic triacontahedron. It has thirty identical faces, and is one of the Catalan solids, also known as Archimedean duals. This particular Catalan solid’s dual is the icosidodecahedron. I use a program called Stella 4d … Continue reading →
Posted in Mathematics

Tagged convex hull, dual, expand, expanded, expanding, expansion, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombic triacontahedron

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Two Different Versions of an Expanded Snub Dodecahedron, Both of Which Feature Regular Decagons
The snub dodecahedron, one of the Archimedean solids, can be expanded in multiple ways, two of which are shown below. In each of these expanded versions, regular decagons replace each of the twelve regular pentagons of a snub dodecahedron. Like … Continue reading →
Posted in Mathematics

Tagged chiral, compound, enantiomorphic pair, expanded, geometry, Mathematics, mirror image, polyhedra, polyhedron, reflection, snub dodecahedron

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