Truncated triakis tetrahedron

Truncated triakis tetrahedron

The truncated triakis tetrahedron is a convex polyhedron with 16 faces: 4 sets of 3 pentagons arranged in a tetrahedral arrangement, with 4 hexagons in the gaps. It is constructed from taking a triakis tetrahedron by truncating the order-6 vertices. This creates 4 regular hexagon faces, and leaves 12 irregular pentagons.

A topologically similar equilateral polyhedron can be constructed by using 12 regular pentagons with 4 equilateral but nonplanar hexagons, each vertex with internal angles alternating between 108 and 132 degrees.

See also

* Near-miss Johnson solid

External links

* [http://web.ukonline.co.uk/polyhedra/acrohedra/nearmiss/jsmn.htm Johnson Solid Near Misses: Number 16]
* [http://www.georgehart.com/virtual-polyhedra/conway_notation.html George Hart's Polyhedron generator] - "t6dtT" (Conway polyhedron notation)


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