Difference between revisions of "Octahedron 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}} | + | ;Octahedron( <Point>, <Point>, <Direction> ) |
| − | ;Octahedron | + | :Creates an octahedron having the segment between the two points as an edge. |
| − | :Creates an octahedron | + | :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|1=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|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }} | ||
Latest revision as of 12:59, 30 September 2017
- 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.
