Cuboctahedral Star

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Cuboctahedral Star

This is the dual of the previous post.

Note: The software I used to create this is available as a free trial download at http://www.software3d.com/stella.php.

Faceted Truncated Icosahedron

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Faceted Truncated Icosahedron

The faces of this are twelve interpenetrating regular pentagons, and twenty 6/2-gons (a type of star hexagon that looks like a radiation symbol).

This was created using software, Stella 4d, which you can find and try at http://www.software3d.com/stella.php.

Puckered Ring of Ten Great Rhombicosidodecahedra

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Puckered Ring of Ten Great Rhombicosidodecahedra

Created using software here: http://www.software3d.com/stella.php.

Icosahedral Cluster of Snub Dodecahedra

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Icosahedral Cluster of Snub Dodecahedra

http://www.software3d.com/stella,php — that’s the place to go to try the software used to make this

Octahedral Nulloid

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Octahedral Nulloid

A nulloid is a polyhedron with zero volume.

See http://www.software3d.com/stella.php for the software used to produce this image.

Faceted Icosahedron with Tetrahedral Symmetry

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Faceted Icosahedron with Tetrahedral Symmetry

Faceted Rhombic Triacontahedron

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Faceted Rhombic Triacontahedron

Want to try making these yourself? Just pop over to http://www.software3d.com/stella.php — there’s a free trial download available.

Speculation About a Zonish Polyhedron

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Speculation About a Zonish Polyhedron

If the longer hexagon/octagon sides were all shortened, could this become nearly regular, thus qualifying it to join the “near-misses?” As it is, those long edges are too long to call it by that term, but perhaps this can be fixed.

(Note: If you’d like to make stuff like this yourself, you should check out http://www.software3d.com/stella.php.)

Compound of Four Parallelopipeds

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Compound of Four Parallelopipeds

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

Faceted Rhombicosidodecahedron II

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Faceted Rhombicosidodecahedron

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