DualPolyhedron—Wolfram Language Documentation (original) (raw)

BUILT-IN SYMBOL

DualPolyhedron

gives the dual polyhedron of the polyhedron poly.

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Dual polyhedron of a dodecahedron:

Find the dual of the space shuttle:

Visualization:

Create a gallery of Platonic solids and their duals:

Create a gallery of Archimedean solids and their duals:

Dual compounds of Platonic solids:

Archimedean solids:

Use DualPolyhedron to compute the polyhedron operations, such as needle operation:

Meta-operation:

Join operation:

Zip operation:

Ortho operation:

Expand operation:

The dual of a simple polyhedron is simple:

The dual of a Platonic solid polyhedron is Platonic solid:

The dual of its dual is the original polyhedron:

Pyramids are self-dual polyhedrons:

DualPolyhedron only supports simple polyhedra:

The dual of a polyhedron is topologically dual:

The dual of a dual:

DualPolyhedron can return degenerate polyhedra:

Wolfram Research (2019), DualPolyhedron, Wolfram Language function, https://reference.wolfram.com/language/ref/DualPolyhedron.html.

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

@misc{reference.wolfram_2025_dualpolyhedron, author="Wolfram Research", title="{DualPolyhedron}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/DualPolyhedron.html}", note=[Accessed: 02-May-2025 ]}

@online{reference.wolfram_2025_dualpolyhedron, organization={Wolfram Research}, title={DualPolyhedron}, year={2019}, url={https://reference.wolfram.com/language/ref/DualPolyhedron.html}, note=[Accessed: 02-May-2025 ]}