Snub disphenoid

The trigondodecahedron is a polyhedron with twelve congruent equilateral triangles as faces, 8 vertices and 18 edges. At four of the five corners of borders and edges to the other four corners adjacent to four edges.

It is a deltahedra and the Johnson J84 body of 92, all of which are named after the mathematician Norman Johnson.

Cartesian coordinates

The Cartesian coordinates of the vertices may be denominated in center at the origin and edge length 2:

With

From the coordinates is obtained that a minimal square including the body, the shape of a square pillar having a height of and a width of accepts. All six faces of the column touching an edge of Trigondodekaeders.