Difference between revisions of "Dodecahedron 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. | ||
| − | ;Dodecahedron[ <Point>, <Point>] | + | ; Dodecahedron[ <Point>, <Point>, <Point>] |
| − | :Creates a dodecahedron | + | :Creates a dodecahedron with three (adjacent) points of the first face. The points have to start a regular pentagon for the dodecahedron to be defined. |
| − | :{{Note|1= | + | |
| + | ; Dodecahedron[ <Point>, <Point>] | ||
| + | :Creates a dodecahedron with two (adjacent) points of the first face, and the third point automatically created on a circle, so that the dodecahedron can rotate around its first edge. | ||
| + | :{{Note|1=Dodecahedron[A, B] is a shortcut for Dodecahedron[A, B, C] with C = Point[Circle[((1 - sqrt(5)) A + (3 + sqrt(5)) B) / 4, Distance[A, B] sqrt(10 + 2sqrt(5)) / 4, Segment[A, B]]].}} | ||
{{Note|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Icosahedron Command|Icosahedron]], [[Octahedron Command|Octahedron]] commands. }} | {{Note|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Icosahedron Command|Icosahedron]], [[Octahedron Command|Octahedron]] commands. }} | ||
Revision as of 21:54, 10 November 2014
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This page is about a feature that is supported only in GeoGebra 5.0. |
- Dodecahedron[ <Point>, <Point>, <Direction> ]
- Creates a dodecahedron having the segment between 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 dodecahedron 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.
- Dodecahedron[ <Point>, <Point>, <Point>]
- Creates a dodecahedron with three (adjacent) points of the first face. The points have to start a regular pentagon for the dodecahedron to be defined.
- Dodecahedron[ <Point>, <Point>]
- Creates a dodecahedron with two (adjacent) points of the first face, and the third point automatically created on a circle, so that the dodecahedron can rotate around its first edge.
- Note: Dodecahedron[A, B] is a shortcut for Dodecahedron[A, B, C] with C = Point[Circle[((1 - sqrt(5)) A + (3 + sqrt(5)) B) / 4, Distance[A, B] sqrt(10 + 2sqrt(5)) / 4, Segment[A, B]]].
Note: See also Cube, Tetrahedron, Icosahedron, Octahedron commands.
