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See Also
- PlanarAngle
- DihedralAngle
- VectorAngle
- PolygonAngle
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- Interpreter Types
- Polyhedron
- Related Guides
PolyhedronAngle[poly,p]
gives the solid angle at the point p and spanned by edges with common point p.
PolyhedronAngle[poly,e]
gives the dihedral angle between the two faces with common edge e.


PolyhedronAngle
PolyhedronAngle[poly,p]
gives the solid angle at the point p and spanned by edges with common point p.
PolyhedronAngle[poly,e]
gives the dihedral angle between the two faces with common edge e.
Examples
open all close allBasic Examples (2)
Scope (2)
Use PolyhedronAngle to find the solid angles at the vertex points:
The dihedral angle at the given edge:
PolyhedronAngle works on polyhedra:
Properties & Relations (2)
PolyhedronAngle[ℛ,{p1,p2}] is equivalent to DihedralAngle[{p1,p2},{v,w}] where v and w are vectors in adjacent faces of {p1,p2} in a polyhedron ℛ:
PolyhedronAngle[ℛ,p] is equivalent to SolidAngle[p,{u1,…,ud}] where u1,…,ud are vectors adjacent to the point p in a polyhedron ℛ:
Related Guides
History
Text
Wolfram Research (2019), PolyhedronAngle, Wolfram Language function, https://reference.wolfram.com/language/ref/PolyhedronAngle.html.
CMS
Wolfram Language. 2019. "PolyhedronAngle." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PolyhedronAngle.html.
APA
Wolfram Language. (2019). PolyhedronAngle. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PolyhedronAngle.html
BibTeX
@misc{reference.wolfram_2025_polyhedronangle, author="Wolfram Research", title="{PolyhedronAngle}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PolyhedronAngle.html}", note=[Accessed: 16-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_polyhedronangle, organization={Wolfram Research}, title={PolyhedronAngle}, year={2019}, url={https://reference.wolfram.com/language/ref/PolyhedronAngle.html}, note=[Accessed: 16-August-2025]}