If two vertices [VER-tuh-sees] of this shape are on the z-axis, the other vertices are all approximately 63.4 degrees from the z-axis.
If two vertices [VER-tuh-sees] of this shape are on the z-axis, the other vertices are all approximately 63.4 degrees from the z-axis. In Cartesian coordinates, this shape's vertices can be placed so each has coordinates whose absolute values are zero, one, and the golden ratio. This shape's surface area is a side length squared times five root three. Using the center of each face of this shape as a vertex creates a dodecahedron. Each vertex of this shape is the vertex of five triangles. Name this Platonic solid with twenty faces.
If two vertices [VER-tuh-sees] of this shape are on the z-axis, the other vertices are all approximately 63.4 degrees from the z-axis.
icosahedron (or icosahedra)