Icosahedron Command

From GeoGebra Manual
Jump to: navigation, search


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.
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.
  • GeoGebra
  • Help
  • Partners
  • Contact us
    • Feedback & Questions
    • This email address is being protected from spambots. You need JavaScript enabled to view it.
    • +43 677 6137 2693
© 2017 International GeoGebra Institute