Editing Truncated tetrahedron (section)

== Construction ==
The truncated tetrahedron can be constructed from a [[regular tetrahedron]] by cutting all of its vertices off, a process known as [[Truncation (geometry)|truncation]].{{r|kuchel}} The resulting polyhedron has 4 equilateral triangles and 4 regular hexagons, 18 edges, and 12 vertices.{{r|berman}} With edge length 1, the [[Cartesian coordinates]] of the 12 vertices are points

<math display=block>
  \bigl( {\pm\tfrac{3\sqrt{2}}{4} }, \pm\tfrac{\sqrt{2}}{4}, \pm\tfrac{\sqrt{2}}{4} \bigr)
</math>

that have an even number of minus signs.