Four Polyhedra Featuring Enneagons

enneagons and octagons

enneagons and kites

octagons enneagons bowtie trapezoids

Dual of Convex hull

Enneagons are also called nonagons; they are polygons with nine sides. I used Stella 4d to make these four rotating polyhedra, and you may try this program for yourself at http://www.software3d.com/Stella.php.

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Throwing Star Tessellation

throwing star tessellation

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Tessellation of Triangles and Pentagons

triangles and pentagons

Alternately, this can be seen as a tessellation of hexagons and enneagons. Which do you see?

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The C-320 Fullerene Polyhedron

The duals of the geodesic domes are polyhedra with hexagonal and pentagonal faces. This particular one has 320 vertices, with those vertices representing carbon atoms. Here is C-320 as a polyhedron.

C320 Dual of Geodesic Icosa

The next image shows this molecule as a ball-and-stick model.

C320 ball and stick.gif

Finally, here it is as a space-filling molecular model.

C320 space filling.gif

All three images were created with Stella 4d: Polyhedron Navigator. This is the page to visit if you want to try Stella for yourself: http://www.software3d.com/Stella.php.

 

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The Construction of a Zome Model of a 240-Atom Fullerene Molecule, In Seven Pictures

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You can buy your own Zome at http://www.zometool.com.

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A Faceting of the Rhombcuboctahedron

Faceted Rhombicubocta

This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedron-manipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.

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The Truncated Stella Octangula

This can also be called the compound of two truncated tetrahedra.

Compound of Two truncated tetrahedra

This image was created using Stella 4d, which you can try at this website.

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