Difference between revisions of "Tetrahedron Command"

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(command syntax: changed [ ] into ( ))
 
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}}
;Tetrahedron [ <Point>, <Point>, <Direction> ]
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;Tetrahedron( <Point>, <Point>, <Direction> )
 
:Creates a tetrahedron having the segment between the two points as an edge.  
 
: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:
 
:The other vertices are univocally determined by the given direction, that needs to be:
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; Tetrahedron[ <Point>, <Point>, <Point>]
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; 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.
 
: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>]
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; 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.
 
: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|1=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]]].}}
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:{{Note|1=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|1=See also [[Cube Command|Cube]], [[Octahedron Command|Octahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}
 
{{Note|1=See also [[Cube Command|Cube]], [[Octahedron Command|Octahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}

Latest revision as of 13:08, 30 September 2017


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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