Hexagonal pyramid

The hexagonal pyramid, or hippy, is a pyramid with a hexagonal base and 6 triangles as sides. The version with equilateral triangles as sides is flat. Other variants with isosceles triangles as sides exist.

It is the vertex-first cap of the triangular tiling.

Vertex coordinates
A hexagonal pyramid of edge length 1 has the following vertices:


 * (±1/2, ±$\sqrt{3}$/2, 0),
 * (±1, 0, 0),
 * (0, 0, 0).

These coordinates are a subset of the vertices of the regular triangular tiling.