Octahedron Command

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Octahedron( <Point>, <Point>, <Direction> )
Creates an octahedron 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 octahedron 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.
Octahedron( <Point>, <Point>, <Point>)
Creates an octahedron with the three points of the first face. The points have to draw an equilateral triangle for the octahedron to be defined.
Octahedron( <Point>, <Point>)
Creates an octahedron with the two points of the first face, and the third point automatically created on a circle, so that the octahedron can rotate around its first edge.
Note: Octahedron(A, B) is a shortcut for Octahedron(A, B, C) with C = Point(Circle(Midpoint(A, B), Distance(A, B) sqrt(3) / 2, Segment(A, B))).
Note: See also Cube, Tetrahedron, Icosahedron, Dodecahedron commands.
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