faceting | RobertLovesPi.net

A Faceting of the Great Rhombicosidodecahedron

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A Faceting of the Great Rhombicosidodecahedron

Software credit: http://www.software3d.com/Stella.php

A Faceting of the Icosidodecahedron

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A Faceting of the Icosidodecahedron

Software credit: http://www.software3d.com/stella.php

Faceted Truncated Icosahedron

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Faceted Truncated Icosahedron

The faces of this are twelve interpenetrating regular pentagons, and twenty 6/2-gons (a type of star hexagon that looks like a radiation symbol).

This was created using software, Stella 4d, which you can find and try at http://www.software3d.com/stella.php.

Twenty Interpenetrating, Rotating Equiangular Golden Hexagons

Alternating sides of these hexagons have lengths in the Golden Ratio. I created this as a faceting of the rhombicosidodecahedron. It also has faces which are star pentagons and triangles, but those faces are hidden in this view.

(Created using software from www.software3d.com/stella.php)

A Faceted Icosidodecahedron

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A Faceted Icosidodecahedron

In this polyhedron, there are, easily visible, twenty light blue faces which are equilateral triangles. Inside the polyhedron (and therefore harder to spot) are thirty purple faces which are Golden rectangles, along with twelve large, orange regular pentagonal faces.

To try the software I used to make this polyhedron, please visit www.software3d.com/stella.php.