polyhedron | 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

A Hollow Version of the Small Stellated Dodecahedron

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A Hollow Version of the Small Stellated Dodecahedron

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

The Dual of a Dodecahedron Made of Rhombic Triacontahedra

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The Dual of a Dodecahedron Made of Rhombic Triacontahedra

This is the dual of the figure shown in the last post.

Software used: see http://www.software3d.com/Stella.php.

Dodecahedron Made of Rhombic Triacontahedra

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Dodecahedron Made of Rhombic Triacontahedra

In the last post, I showed that five rhombic triacontahedra can be stuck together to form a pentagonal ring. The next logical step is shown here: using such pentagonal rings to construct an entire dodecahedron made of rhombic triacontahedra.

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

Pentagonal Ring of Rhombic Triacontahedra

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Pentagonal Ring of Rhombic Triacontahedra

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

The Second Stellation of a Mandala-Covered Truncated Octahedron

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The Second Stellation of a Mandala-Covered Truncated Octahedron

To see what the truncated octahedron looked like before being stellated twice, and read about how it was created, I refer you to the previous post on this blog.

Stellation of polyhedra is easy with Stella 4d, a program you can try and/or buy at http://www.software3d.com/Stella.php.

Truncated Octahedron Decorated with Mandalas

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Truncated Octahedron Decorated with Mandalas

The image on the squares is the same that appears two posts ago here, its color-inversion appears on the hexagons, and these were created with Geometer’s Sketchpad and MS-Paint. Projecting those images onto the larger faces of this polyhedron, and then creating this rotating .gif file, was accomplished with the use of Stella 4d, polyhedron-manipulating software you can try and/or buy at http://www.software3d.com/stella.php.

Truncated Tetrahedron Decorated with Mandalas

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Truncated Tetrahedron Decorated with Mandalas

The image on the hexagons is the same that appears in the previous post here, and was created with Geometer’s Sketchpad and MS-Paint. Projecting those images onto the larger faces of this polyhedron, and then creating this rotating .gif file, was accomplished with the use of Stella 4d, polyhedron-manipulating software you can try and/or buy at http://www.software3d.com/stella.php.