Monthly Archives: November 2013

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:

Tetra

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

The Eighth Stellation of the Dual of the Expanded Rhombic Dodecahedron

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The Eighth Stellation of the Dual of the Expanded Rhombic Dodecahedron

The expanded rhombic dodecahedron is in the last post. It took just a bit to turn it into this — using Stella 4d, software you can find at http://www.software3d.com/stella.php.

Expanded Rhombic Dodecahedron

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Expanded Rhombic Dodecahedron

To make this, a rhombic dodecahedron had each of its faces augmented with prisms, and the I took the convex hull of the resulting figure. This polyhedron has fifty faces, all but eight of which are quadrilaterals.

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

A Faceting of the Great Rhombicosidodecahedron

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A Faceting of the Great Rhombicosidodecahedron

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

A Faceting of the Icosidodecahedron

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A Faceting of the Icosidodecahedron

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

A Hollow Version of the Small Stellated Dodecahedron

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A Hollow Version of the Small Stellated Dodecahedron

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

An Expansion of the Rhombic Enneacontahedron

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An Expansion of the Rhombic Enneacontahedron

This was created using Stella 4d, available at http://www.software3d.com/stella.php. It has 422 faces.