Difference between revisions of "Icosahedron Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|3D}} | ||
| − | ;Icosahedron | + | ;Icosahedron( <Point>, <Point>, <Direction> ) |
:Creates an icosahedron having the segment between the two points as an edge. | :Creates an icosahedron 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. | ||
| − | ; Icosahedron | + | ; Icosahedron( <Point>, <Point>, <Point>) |
:Creates an icosahedron with the three points of the first face. The points have to draw an equilateral triangle for the icosahedron to be defined. | :Creates an icosahedron with the three points of the first face. The points have to draw an equilateral triangle for the icosahedron to be defined. | ||
| − | ; Icosahedron | + | ; Icosahedron( <Point>, <Point>) |
:Creates an icosahedron with the two points of the first face, and the third point automatically created on a circle, so that the icosahedron can rotate around its first edge. | :Creates an icosahedron with the two points of the first face, and the third point automatically created on a circle, so that the icosahedron can rotate around its first edge. | ||
| − | :{{Note|1=Icosahedron | + | :{{Note|1=Icosahedron(A, B) is a shortcut for Icosahedron(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]], [[Octahedron Command|Octahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }} | {{Note|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Octahedron Command|Octahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }} | ||
Latest revision as of 12:45, 30 September 2017
- Icosahedron( <Point>, <Point>, <Direction> )
- Creates an icosahedron 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 icosahedron 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.
- Icosahedron( <Point>, <Point>, <Point>)
- Creates an icosahedron with the three points of the first face. The points have to draw an equilateral triangle for the icosahedron to be defined.
- Icosahedron( <Point>, <Point>)
- Creates an icosahedron with the two points of the first face, and the third point automatically created on a circle, so that the icosahedron can rotate around its first edge.
- Note: Icosahedron(A, B) is a shortcut for Icosahedron(A, B, C) with C = Point(Circle(Midpoint(A, B), Distance(A, B) sqrt(3) / 2, Segment(A, B))).
Note: See also Cube, Tetrahedron, Octahedron, Dodecahedron commands.
