icosidodecahedron | RobertLovesPi.net

Icosahedral Cluster of Icosidodecahedra

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Icosahedral Cluster of Icosidodecahedra

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

Icosidodecahedron Featuring Twelve Pentagrammic Vortices and Twenty Invisible Triangles

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Icosidodecahedron Featuring Twelve Pentagrammic Vortices and Twenty Invisible Triangles

The image on the pentagons was created using Geometer’s Sketchpad and MS-Paint. The polyhedron was then assembled using Stella 4d, available at http://www.software3d.com/stella.php.

Dodecahedral Cluster of Icosidodecahedra

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Dodecahedral Cluster of Icosidodecahedra

Created using Stella 4d, software you can try at http://www.software3d.com/stella.php.

A Variant of the Icosidodecahedron

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A Variation of the Icosidodecahedron

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

Starry Icosidodecahedron

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Starry Icosidodecahedron

This was created using Geometer’s Sketchpad, MS-Paint, and Stella 4d.

If you’d like to try Stella 4d for yourself, please visit www.software3d.com/stella.php.

Icosidodecahedron / Rhombic Triacontahedron Compound

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Icosidodecahedron / Rhombic Triacontahedron Compound

The icosidodecahedron and the rhombic triacontahedron, duals to each other, are the shapes with red edges showing. I made this using Stella 4d, which you may try for free at http://www.software3d.com/stella.php.

An Intermediate Form Between the Icosidodecahedron and Its Dual, the Rhombic Triacontahedron

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An Intermediate Form Between the Icosidodecahedron and Its Dual, the Rhombic Triacontahedron

There are many ways to make intermediate forms between dual polyhedra. This was made using the expansion method. The faces of the icosidodecahedron (red and blue) were moved outward, as were the green faces of the rhombic triacontahedron, until the meeting of all possible vertices. The yellow rectangles were the spaces created between faces by this expansion.

(Software credit: see http://www.software3d.com/stella.php)