RobertLovesPi.net

Polyhedra, tessellations, and more.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

Warp Eight

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Warp Eight

Compound of Four Hexagonal Dipyramids

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Compound of Four Hexagonal Dipyramids

Created using Stella 4d, available at http://www.software3d.com/Stella.php.

Tessellation Using Pentagons and Rhombi

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Tessellation Using Pentagons and Rhombi

Spectral Sunrise

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Spectral Sunrise

Compound of an Octahedron and Two Triakis Tetrahedra

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Compound of an Octahedron and Two Triakis Tetrahedra

Created with Stella 4d, available at http://www.software3d.com/Stella.php.

A Cluster of Seventeen Truncated Cubes with Tetrahedral Symmetry

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A Cluster of Seventeen Truncated Cubes with Tetrahedral Symmetry

Software credit: see Stella 4d, available (including a free trial download) at http://www.software3d.com/Stella.php.

Polyhedral Porcupine

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Polyhedral Porcupine

I made this using Stella 4d, which you can try at http://www.software3d.com/Stella.php.

An Octahedron, Augmented with Eight Great Icosahedra, and the Dual of this Augmented Polyhedral Cluster

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An Octahedron, Augmented with Eight Great Icosahedra, and the Dual of this Augmented Polyhedral Cluster

I made these using Stella 4d, which you can try at http://www.software3d.com/Stella.php. Here is its dual, also:

An Icosahedron, Augmented with Twenty Great Icosahedra

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An Icosahedron, Augmented with Twenty Great Icosahedra

The picture above uses symmetry to divide the faces of this polyhedral cluster into color groups. This next one puts faces in the same color-group if and only if they are parallel.