Difference between revisions of "Tetrahedron Command"

From GeoGebra Manual
Jump to: navigation, search
Line 10: Line 10:
 
:* 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.
  
; Tetrahedron [ <Point>, <Point>]
+
 
:Creates a tetrahedron having the segment between the two points as an edge, and a face contained in a plane parallel to xOy plane.  
+
; Tetrahedron[ <Point>, <Point>, <Point>]
:{{Note|1=This syntax is a shortcut for Tetrahedron[ <Point>, <Point>, xOyPlane], which requires that the segment between the two points is parallel to xOy plane.}}
+
:Creates a tetrahedron with the three points of the first face. The points have to draw an equilateral rectangle for the tetrahedron to be defined.
 +
 
 +
; Tetrahedron[ <Point>, <Point>]
 +
:Creates a tetrahedron with the two points of the first face, and the third point automatically created on a circle, so that the tetrahedron can rotate around its first edge.
 +
:{{Note|1=Tetrahedron[A, B] is a shortcut for Tetrahedron[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]], [[Octahedron Command|Octahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}
 
{{Note|1=See also [[Cube Command|Cube]], [[Octahedron Command|Octahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}

Revision as of 21:52, 10 November 2014


Tetrahedron [ <Point>, <Point>, <Direction> ]
Creates a tetrahedron 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 tetrahedron 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.


Tetrahedron[ <Point>, <Point>, <Point>]
Creates a tetrahedron with the three points of the first face. The points have to draw an equilateral rectangle for the tetrahedron to be defined.
Tetrahedron[ <Point>, <Point>]
Creates a tetrahedron with the two points of the first face, and the third point automatically created on a circle, so that the tetrahedron can rotate around its first edge.
Note: Tetrahedron[A, B] is a shortcut for Tetrahedron[A, B, C] with C = Point[Circle[Midpoint[A, B], Distance[A, B] sqrt(3) / 2, Segment[A, B]]].
Note: See also Cube, Octahedron, Icosahedron, Dodecahedron commands.
© 2024 International GeoGebra Institute