geometry | RobertLovesPi.net

Tessellation Using Regular Nonagons and “Snowflake” Dodecagons

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The “snowflake” dodecagons are equilateral, and resemble star hexagons — but the resemblance is close, not exact.

Dodecahedral Cluster of Icosidodecahedra

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Dodecahedral Cluster of Icosidodecahedra

Created using Stella 4d, software you can try at http://www.software3d.com/stella.php.

Compound of Four Triangular Prisms

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Compound of Four Triangular Prisms

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

An Octahedron Partially Encasing a Rhombic Dodecahedron

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An Octahedron Partially Encasing a Rhombic Dodecahedron

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

Great Circles

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Great Circles

These great circles are all in the reflection planes of an icosidodecahedron, but that polyhedron, itself, is invisible here.

Software credit: see http://www.software3d.com/stella.4d

Great Rhombcuboctahedron with Red and Blue Mandalas

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Great Rhombcuboctahedron with Red and Blue Mandalas

The design on the faces first appeared in the last post, and was made using Geometer’s Sketchpad and MS-Paint.

I used Stella 4d, another program, to put this design (as a colorized version) on the octagonal and hexagonal faces of this great rhombcuboctahedron, and then render the square faces of this polyhedron invisible. This program is available at http://www.software3d.com/stella.php.

A Dodecahedron, with Mandalas in Six Colors

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Dodecahedron with Mandalas in Six Colors

Geometer’s Sketchpad and MS-Paint were used to create a black-and-white version of the flat image (seen in the previous post) on each face of this dodecahedron. The rest of the work to made this 3-d rotating image was done with Stella 4d, which you can try for yourself at http://www.software3d.com/Stella.php.

Compound of the Truncated Icosahedron and Its Dual, the Pentakis Dodecahedron

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Compound of the Truncated Icosahedron and Its Dual, the Pentakis Dodecahedron

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

Truncated Icosahedron with Pink and Green Snowflakes

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Truncated Icosahedron with Pink and Green Snowflakes

The images found in the previous two posts were made with Geometer’s Sketchpad and MS-Paint. I then used Stella 4d to project those images onto this polyhedron, and create this rotating .gif file. Stella 4d may be tried or purchased at http://www.software3d.com/stella.php.