A Wire-Frame Zonohedron Based On the Faces, Edges, and Vertices of an Icosahedron

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A Wire-Frame Zonohedron Based On the Faces, Edges, and Vertices of an Icosahedron

This is the shape of the largest zonohedron one can make with red, yellow and blue Zome (see http://www.zometool.com for more on that product for 3-d real-world polyhedron modeling). This image was made using Stella 4d, which you can find at http://www.software3d.com/stella.php.

A Bowtie Symmetrohedron Featuring Twelve Decagons and Twenty Equilateral Triangles

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A Bowtie Symmetrahedron Featuring Twelve Decagons and Twenty Equilateral Triangles

Created using software you can try at http://www.software3d.com/stella.php.

Later edit:  I found this same polyhedron on another website, one that has been online longer than my blog, so I now for, for certain, that this was not an original discovery of my own. At http://www.cgl.uwaterloo.ca/~csk/projects/symmetrohedra/, it is named the “alternate bowtie dodecahedron” by Craig Kaplan and George W. Hart.

122-Faced Zonohedron with Equal Edge Lengths

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122-Faced, Equal-Edge-Length Zonohedron

The 122 Faces are:

  • 12 regular decagons
  • 20 regular hexagons
  • 60 squares
  • 30 equilateral (but not equiangular) octagons

Created with Stella 4d, avaialable at http://www.software3d.com/stella.php.