polyhedra | RobertLovesPi.net

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 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.

A Twisted Version of the Stella Octangula

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A Twisted Version of the Stella Octangula

For comparison, here’s the non-twisted, traditional Stella Octangula:

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

Compound of Four Non-Regular Triangular Dipyramids

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Compound of Four Non-Regular Triangular Dipyramids

The only irregularity to be found here is that the faces of the dipyramids are isosceles, not equilateral.

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

A Compound of Three Non-Regular Square Diyramids

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Compound of Three Non-Regular Square Diyramids

The only irregularity to be found here is that the faces of the dipyramids are isosceles, not equilateral.

Software credit: see this website to try the program I used to make this rotating .gif image. It’s called Stella 4d: Polyhedron Navigator.

The Latest Stop in a Polyhedral Journey

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The Latest Stop in a Polyhedral Journey

After the last post, I did many things with the polyhedron I had — too many to remember the exact sequence — and I ended up with this. I wish I could remember the exact route I took to get here!

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