The Gyroelongated Pentagonal Pyramid
The gyroelongated pentagonal pyramid is the 11th Johnson solid (J11). It has 11 vertices and 16 faces (15 equilateral triangles and 1 pentagon).
The gyroelongated pentagonal pyramid can be constructed by attaching a pentagonal pyramid to a pentagonal antiprism. It can also be constructed by deleting a single vertex from the icosahedron, and so can also be called the monodiminished icosahedron.
Here are some views of the gyroelongated pentagonal pyramid from various angles:
The Cartesian coordinates of the gyroelongated pentagonal pyramid with edge length 2 are:
- (0, 0, A + √((10-2√5)/5)
- ±(B, 0, A)
- ±(C, ±φ, A)
- ±(-D, ±1, A)