Difference between revisions of "Cube Command"

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:* 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 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.
 
:* a face with the segment as an edge in a plane parallel to the polygon/plane.
 +
 +
; Cube[ <Point>, <Point>, <Point>]
 +
:Creates a cube with three first points of the first face. The points have to start a square for the cube to be defined.
  
 
; Cube[ <Point>, <Point>]
 
; Cube[ <Point>, <Point>]
:Creates a cube having the segment between two points as an edge, and a face contained in a plane parallel to xOy plane.  
+
:Creates a cube with the two first points of the first face, and the third point automatically created on a circle, so that the cube can rotate around its first edge.
:{{Note|1=This syntax is a shortcut for Cube[ <Point>, <Point>, xOyPlane], which requires that the segment between the two points is parallel to xOy plane.}}
+
:{{Note|1=Cube[A, B] is a shortcut for Cube[A, B, C] with C = Point[Circle[B, Distance[A, B], Segment[A, B]]].}}
  
 
{{Note|1=See also [[Tetrahedron Command|Tetrahedron]], [[Octahedron Command|Octahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}
 
{{Note|1=See also [[Tetrahedron Command|Tetrahedron]], [[Octahedron Command|Octahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}

Revision as of 21:36, 10 November 2014


Cube[ <Point>, <Point>, <Direction> ]
Creates a cube having the segment between the two points as an edge.
The other vertices are uniquely determined by the given direction, that should be one of:
  • a vector, a segment, a line, a ray orthogonal to the segment, or
  • a polygon, a plane parallel to the segment.
The created cube 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.
Cube[ <Point>, <Point>, <Point>]
Creates a cube with three first points of the first face. The points have to start a square for the cube to be defined.
Cube[ <Point>, <Point>]
Creates a cube with the two first points of the first face, and the third point automatically created on a circle, so that the cube can rotate around its first edge.
Note: Cube[A, B] is a shortcut for Cube[A, B, C] with C = Point[Circle[B, Distance[A, B], Segment[A, B]]].
Note: See also Tetrahedron, Octahedron, Icosahedron, Dodecahedron commands.
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