Difference between revisions of "Tetrahedron Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}} |
| − | {{command|3D}} | + | ;Tetrahedron( <Point>, <Point>, <Direction> ) |
| − | ;Tetrahedron | ||
: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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:* a face with the segment as an edge in a plane parallel to the polygon/plane. | :* a face with the segment as an edge in a plane parallel to the polygon/plane. | ||
| − | ; Tetrahedron | + | |
| − | :Creates a tetrahedron | + | ; Tetrahedron( <Point>, <Point>, <Point>) |
| − | :{{Note|1= | + | :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|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.
