DualPolyhedron
DualPolyhedron[poly]
gives the dual polyhedron of the polyhedron poly.
Details and Options
![](Files/DualPolyhedron.en/details_1.png)
- DualPolyhedron is also known as reciprocal or topological dual polyhedron.
- DualPolyhedron generates a Polyhedron with vertex points corresponding to faces of poly and edges corresponding to edges between faces of poly.
- A typical choice for the vertex points of the dual polyhedron is to use the centroid from each face of poly.
- DualPolyhedron takes the same options as Polyhedron.
![](Files/DualPolyhedron.en/Image_1.gif)
List of all options
![](Files/DualPolyhedron.en/details_2.png)
Examples
open allclose allBasic Examples (2)
Scope (3)
Applications (9)
Basic Applications (3)
Polyhedron Operations (6)
Use DualPolyhedron to compute the polyhedron operations, such as needle operation:
Properties & Relations (4)
Possible Issues (3)
DualPolyhedron only supports simple polyhedra:
The dual of a polyhedron is topologically dual:
DualPolyhedron can return degenerate polyhedra:
Text
Wolfram Research (2019), DualPolyhedron, Wolfram Language function, https://reference.wolfram.com/language/ref/DualPolyhedron.html.
CMS
Wolfram Language. 2019. "DualPolyhedron." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DualPolyhedron.html.
APA
Wolfram Language. (2019). DualPolyhedron. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DualPolyhedron.html