I found this using software you can try for free at http://www.software3d.com/stella.php. It’s one of the many stellations of the dual of the truncated octahedron.
Compound of Four Triangular Dipyramids
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Daily Archives: 24 May 2013
Factors of Twelve
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A Radial Tessellation Featuring Regular Decagons, Regular Pentagons, and Golden Hexagons
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As you can see, this can be continued indefinitely from the center.
Op Art On a Rhombic Enneacontahedron
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The rhombic enneacontahedron has 90 faces; 30 are narrow rhombi (hidden here), and 60 are wider rhombi (decorated with the op art piece from two posts ago).
Software credit: see the polyhedral software I used at http://www.software3d.com/stella.php — free trial download available.
The Great Rhombcuboctahedron
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The images on the faces are colorized versions of my last post here. This transfer was accomplished using software you can find at http://www.software3d.com/stella.php.
Seven
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