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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.

The Truncated Great Dodecahedron

To get from the last image posted to this one, I used Stella 4d‘s “try to make faces regular” function. (You can get a free trial download of this program right here.)

This Faceting of the Truncated Icosahedron is Also a Truncation of the Great Dodecahedron

This first version shows this polyhedron colored by face type.

In the next image, only parallel faces share a color. This is the traditional coloring-scheme for the great dodecahedron.

Both images were created with Stella 4d, which is available as a free trial download at this website. Also, the obvious change needed with this polyhedron — making its faces regular — is in the next post.

The Great Stellated Dodecahedron, Inscribed Inside a Partially-Invisible Dodecahedron

I made this using Stella 4d, which you can try right here.

Decagonal Mandala #2

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Sawblade and Hourglass Tessellation

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Space-Filling Octagonal Prisms and Great Rhombcuboctahedra

This is a continuation of the process shown in the last post here, but with a different coloring-scheme.

I made this using Stella 4d, which you can try for free at this website.

Packing Space with Great Rhombcuboctahedra and Octagonal Prisms

…And so on….

[Software credit: I made these images using Stella 4d, which you can try for free right here.]

The Dual of the Frequency-One Geodesic Sphere Based on the Great Rhombcuboctahedron

The faces of this solid include twelve squares, six regular octagons, eight regular hexagons, and 48 irregular hexagons. I made it using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.

Thirteen Circles

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A Curvy Tessellation #1

This is based on the well-known tessellation of squares and regular octagons, but with each line segment replaced by two semicircles.