The Truncated Truncated Tetrahedron

twice truncated tet

This is the result, if one performs a second truncation to the truncated tetrahedron, in such as a way as to make the resulting dodecagons regular. To do this, however, regularity of the triangles and hexagons must be sacrificed — they are merely isosceles and equiangular, respectively.

[Image made using Stella 4d, software available here.]

2 thoughts on “The Truncated Truncated Tetrahedron

  1. Ah But RobertLovesPi…if the truncation is carried our further along each relevant edge the hexagon becomes regular and the triangles become isosceles trapeziums…see Mathematical Gazette July 2012 volume 96 pp 317-323…where it is first described to my knowledge and uncovered as the underlying polyhedron in the Adidas Jabulani World Cup football in 2010. The polyhedron in now included in Mathematica’s polyhedron data set and accessed as: PolyhedronData[“JabulaniPolyhedron”]

    Liked by 1 person

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s