gives the dual polyhedron of the polyhedron poly.
Details and Options
- 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.
Examplesopen allclose all
Basic Examples (2)
DualPolyhedron works on polyhedrons:
DualPolyhedron of Platonic solids includes Tetrahedron:
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:
Wolfram Research (2019), DualPolyhedron, Wolfram Language function, https://reference.wolfram.com/language/ref/DualPolyhedron.html.
Wolfram Language. 2019. "DualPolyhedron." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DualPolyhedron.html.
Wolfram Language. (2019). DualPolyhedron. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DualPolyhedron.html