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Polyhedra, tessellations, and more.

A Great Dodecahedron, Augmented with Twelve Icosidodecahedra, and Its Dual

Posted on 11 September 2014 by RobertLovesPi

Each face of a great dodecahedron is a regular pentagon, and each of those pentagonal faces has an icosidodecahedron attached to it, in the figure above. The dual of this figure appears below.

Both images were created with Stella 4d, software available at www.software3d.com/Stella.php.

4 thoughts on “A Great Dodecahedron, Augmented with Twelve Icosidodecahedra, and Its Dual”

teachezwell on 11 September 2014 at 22:09 said:

Amazing!

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- RobertLovesPi on 12 September 2014 at 05:13 said:
  
  Thank you!
  
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ivasallay on 13 September 2014 at 16:21 said:

Why is the second one the dual of the first one?

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- RobertLovesPi on 13 September 2014 at 17:16 said:
  
  That’s complicated. Here’s a good place to start, on that topic: https://en.wikipedia.org/wiki/Dual_polyhedron
  
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4 thoughts on “A Great Dodecahedron, Augmented with Twelve Icosidodecahedra, and Its Dual”

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