A “Bowtie” Polyhedron Featuring Regular Decagons and Nonagons

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This is the sequel to the previous post. Making the decagons and nonagons regular, using Stella 4d, proved to be quite easy!

Software credit: see http://www.software3d.com/stella.php (free trial download available).

A Polyhedron with 92 Faces Which Features Decagons and Nonagons

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A Polyhedron with 92 Faces Which Features Decagons and Nonagons

In addition to twelve decagons and twenty nonagons, this polyhedron also features thirty pairs of trapezoids in “bowtie” pairs. I made it using Stella 4d, software available at http://www.software3d.com/stella.php.

While these nonagons and decagons aren’t regular, it should be possible to make them so. If this happens, I’ll post the result here.

A Variant of the Icosidodecahedron

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A Variation of the Icosidodecahedron

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

Twelve Pink Floating Pentagons

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Twelve Pink Floating Pentagons

Because I can, that’s why.

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

Polyhedral Cage Based On an Icosahedron / Dodecahedron Compound

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Polyhedral Cage Based On an Icosahedron / Dodecahedron Compound

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

Variant of the Compound of Five Cubes

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Variant of the Compound of Five Cubes

In this compound (unlike the classical compound of five cubes), the cubes are not complete. I found it while repeatedly-stellating the rhombic triacontahedron, which you can see in the previous post.

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

Reflection-Planes of the Rhombic Triacontahedron

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Reflection-Planes of the Rhombic Triacontahedron

Each circle shown is in one of the reflection-planes of this polyhedron, which is the dual of the icosidodecahedron, an Archimedean solid.

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