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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.

A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron

Compound of Great Stellated Dodeca and Great Dodeca.gif

In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own.

Compound of Great Stellated Dodeca and Great Dodeca 2

These images were made using Stella 4d, software you may try for yourself at this website.

One Dozen Icosahedra

A dozen icosas

I made this using Stella 4d, software you can try for yourself right here.

Tessellation of Rhombi and Tetraconcave Octagons

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tessellation of rhombi and tetraconcave octagons

A Radial Tessellation Using Three Types of Rhombi

radial tessellation using three types of rhombi

The yellow rhombi have angles of 40 and 140 degrees, while the blue rhombi have angles of 80 and 100 degrees, just like in the last post here. However, that post did not include the red rhombi, which have angles of 60 and 120 degrees.

A Radial Tessellation Using Two Types of Rhombi

radial tessellation using two types of rhombi

The yellow rhombi have angles which measure 40 and 140 degrees, while the blue rhombi’s angles measure 80 and 100 degrees.

A Zonohedron with 1382 Faces, Based on the Rhombicosidodecahedron

This zonohedron was formed from zones based on the faces, edges, and vertices of a rhombicosidodecahedron. The first image shows it colored by face type.

Zonohedrified Rhombicosidodeca 1382 faces by face type

The second image has the faces colored by number of sides.

Zonohedrified Rhombicosidodeca 1382 faces bynumber of sides per face.gif

Finally, here’s one in “rainbow color mode.”

Zonohedrified Rhombis rainbow.gif

These images were all formed using Stella 4d: Polyhedron Navigator, which you can try for free right here.

Spectral Circles #2

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spectral circles

Four Different Faceted Versions of the Rhombicosidodecahedron

Faceted Rhombicosidodeca 2

Faceted Rhombicosidodeca 3

Faceted Rhombicosidodeca 4

Faceted Rhombicosidodeca

I made these using Stella 4d: Polyhedron Navigator, software you can try for yourself, free, right here.

Cluster of 31 Rhombic Triacontahedra

There’s one rhombic triacontahedron in the center of this cluster, with more attached to each of its thirty faces, one per face. In this one, the colors are chosen by the placement of the faces in the overall cluster.

Augmented Rhombic Triaconta

The one below is shown in “rainbow color mode.”

Augmented Rhombic Triaconta rainbow

Both of these images were created using Stella 4d: Polyhedron Navigator, software you may try for free right here.

Enneagon with Rays #2

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enneagon with rays