RobertLovesPi.net

Polyhedra, tessellations, and more.

Icosahedron Encasing a Rhombic Triacontahedron

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Icosahedron Encasing a Rhombic Triacontahedron

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

Icosahedral Cluster of Dodecahedra

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Icosahedral Cluster of Dodecahedra

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

Icosahedral Cluster of Icosidodecahedra

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Icosahedral Cluster of Icosidodecahedra

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

Twenty Hexagons with Heptagrammic Designs

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Twenty Hexagons with Heptagrammic Designs

The design on the hexagons appeared in the last post here, and was created using Geometer’s Sketchpad and MS-Paint. After that, I used another program, Stella 4d, to place these images on the hexagons of a truncated icosahedron, render the pentagons invisible, and create this rotating .gif file.

Stella 4d may be tried and/or purchased at http://www.software3d.com/stella.php.

Three Kinds of Seven

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Three Kinds of Seven

Compound of the Great Dodecahedron and the Sixth Stellation of the Icosahedron

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Compound of the Great Dodecahedron and a Stellated Polyhedron

The great dodecahedron here is red, and the yellow polyhedron is the sixth stellation of the icosahedron.

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

Dark Stars II

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Dark Stars II

This, like “Dark Stars” before it, was based on previous posts. I stellated the post two posts ago, several more times. Software credit: http://www.software3d.com/stella.php

Law of Fives

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Law of Fives

Dark Stars

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Dark Stars

This was created by stellating the polyhedron seen in the previous post several times.

Software credit: http://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.