# 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.