This polyhedron has tetrahedral symmetry, and eight faces. Four of them are equilateral triangles, while the other four are 6/2-gons. I made it by modification of the truncated tetrahedron, using Stella 4d, which you can try for yourself, for free, at http://www.software3d.com/Stella.php.
RobertLovesPi.net 
Loving this one, and all of today’s creations! Cheers, and a happy new year to you. Keep ’em coming! You have some serious fans out here in the ethers.
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Thank you! It’s nice to have fans.
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So cool– looks like a crazy kite!
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