# Icosahedron Command

From GeoGebra Manual

- Icosahedron[ <Point>, <Point>, <Direction> ]
- Creates an icosahedron having the segment between the 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 icosahedron 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.

- Icosahedron[ <Point>, <Point>, <Point>]
- Creates an icosahedron with the three points of the first face. The points have to draw an equilateral triangle for the icosahedron to be defined.

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

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