Tetrahedron Command

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Tetrahedron [ <Point>, <Point>, <Direction> ]
Creates a tetrahedron 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 tetrahedron 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.


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