Difference between revisions of "Octahedron Command"

From GeoGebra Manual
Jump to: navigation, search
m (spacing)
Line 1: Line 1:
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{betamanual|version=5.0}}
 
{{command|3D}}
 
{{command|3D}}
;Octahedron[ <Point A>, <Point B>, <Direction> ]
+
;Octahedron[ <Point>, <Point>, <Direction> ]
:Creates an octahedron having segment ''AB'' as an edge.  
+
:Creates an octahedron 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:
:* a vector, a segment, a line, a ray '''orthogonal'''  to ''AB'', or
+
:* a vector, a segment, a line, a ray '''orthogonal'''  to the segment, or
:* a polygon, a plane '''parallel''' to ''AB''.
+
:* a polygon, a plane '''parallel''' to the segment.
 
:The created octahedron will have:
 
:The created octahedron will have:
:* a face with edge ''AB'' 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 edge ''AB'' in a plane parallel to the polygon/plane.
+
:* a face with the segment as an edge in a plane parallel to the polygon/plane.
  
;Octahedron[ <Point A>, <Point B>]
+
;Octahedron[ <Point>, <Point>]
:Creates an octahedron having segment ''AB'' as an edge, and a face contained in a plane parallel to xOy plane.  
+
:Creates an octahedron having the segment between the two points as an edge, and a face contained in a plane parallel to xOy plane.  
: {{Note|1=This syntax is a shortcut for Octahedron[ <Point A>, <Point B>, xOyPlane], which requires that ''AB'' is parallel to xOy plane.}}
+
: {{Note|1=This syntax is a shortcut for Octahedron[ <Point>, <Point>, xOyPlane], which requires that the segment between the two points is parallel to xOy plane.}}
  
 
{{Note|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}
 
{{Note|1=See also [[Cube Command|Cube]], [[Tetrahedron Command|Tetrahedron]], [[Icosahedron Command|Icosahedron]], [[Dodecahedron Command|Dodecahedron]] commands. }}

Revision as of 11:41, 29 July 2014


Octahedron[ <Point>, <Point>, <Direction> ]
Creates an octahedron 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 octahedron 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.
Octahedron[ <Point>, <Point>]
Creates an octahedron having the segment between the two points as an edge, and a face contained in a plane parallel to xOy plane.
Note: This syntax is a shortcut for Octahedron[ <Point>, <Point>, xOyPlane], which requires that the segment between the two points is parallel to xOy plane.
Note: See also Cube, Tetrahedron, Icosahedron, Dodecahedron commands.
© 2024 International GeoGebra Institute