Difference between revisions of "Dodecahedron Command"
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}} |
| − | {{command|3D}} | + | ;Dodecahedron( <Point>, <Point>, <Direction> ) |
| − | ;Dodecahedron | + | :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. | |
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| + | ; 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. }} | ||
Latest revision as of 12:40, 30 September 2017
- 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.
