Difference between revisions of "Octahedron Command"
From GeoGebra Manual
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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. | ||
| − | ;Octahedron[ <Point>, <Point>] | + | ; Octahedron[ <Point>, <Point>, <Point>] |
| − | :Creates an octahedron | + | :Creates an octahedron with the three points of the first face. The points have to draw an equilateral rectangle for the octahedron to be defined. |
| − | : {{Note|1= | + | |
| + | ; 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. }} | {{Note|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }} | ||
Revision as of 21:57, 10 November 2014
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This page is about a feature that is supported only in GeoGebra 5.0. |
- 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 rectangle 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.
