# Dodecahedron Command

From GeoGebra Manual

- Dodecahedron[ <Point>, <Point>, <Direction> ]
- Creates a dodecahedron having the segment between two points as an edge.
- The other vertices are univocally determined by the given direction, that needs to be:
- a vector, a segment, a line, a ray
**orthogonal**to the segment, or - a polygon, a plane
**parallel**to the segment.

- a vector, a segment, a line, a ray
- The created dodecahedron will have:
- a face with the segment as an edge in a plane orthogonal to the given vector/segment/line/ray, or
- a face with the segment as an edge in a plane parallel to the polygon/plane.

- Dodecahedron[ <Point>, <Point>, <Point>]
- Creates a dodecahedron with three (adjacent) points of the first face. The points have to start a regular pentagon for the dodecahedron to be defined.

- Dodecahedron[ <Point>, <Point>]
- Creates a dodecahedron with two (adjacent) points of the first face, and the third point automatically created on a circle, so that the dodecahedron can rotate around its first edge.
**Note:**Dodecahedron[A, B] is a shortcut for Dodecahedron[A, B, C] with C = Point[Circle[((1 - sqrt(5)) A + (3 + sqrt(5)) B) / 4, Distance[A, B] sqrt(10 + 2sqrt(5)) / 4, Segment[A, B]]].

**Note:**See also Cube, Tetrahedron, Icosahedron, Octahedron commands.