PolyhedronCoordinates

PolyhedronCoordinates[poly]

gives a list of coordinates in the polyhedron poly.

Details

  • PolyhedronCoordinates is also known as polyhedron vertex coordinates.
  • PolyhedronCoordinates is defined by the canonicalization performed in CanonicalizePolyhedron.
  • PolyhedronCoordinates gives a list of coordinates {p1,p2,…}.
  • For a polyhedron with self-intersections, the resulting coordinate list will also include intersection points.
  • For a polyhedron defined with repeated coordinates, the resulting coordinate list removes duplicate coordinates.

Examples

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Basic Examples  (1)

Get the vertex coordinates from a Polyhedron:

Scope  (3)

PolyhedronCoordinates works on polyhedrons:

Tetrahedron:

Cube:

Polyhedron with holes:

Polyhedrons with disconnected components:

Properties & Relations  (2)

Using CanonicalizePolyhedron to get polyhedron coordinates:

A simple polyhedron has the same polyhedron coordinates as its OuterPolyhedron:

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

Text

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

CMS

Wolfram Language. 2019. "PolyhedronCoordinates." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PolyhedronCoordinates.html.

APA

Wolfram Language. (2019). PolyhedronCoordinates. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PolyhedronCoordinates.html

BibTeX

@misc{reference.wolfram_2025_polyhedroncoordinates, author="Wolfram Research", title="{PolyhedronCoordinates}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PolyhedronCoordinates.html}", note=[Accessed: 22-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_polyhedroncoordinates, organization={Wolfram Research}, title={PolyhedronCoordinates}, year={2019}, url={https://reference.wolfram.com/language/ref/PolyhedronCoordinates.html}, note=[Accessed: 22-February-2025 ]}