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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.
Details
- PolyhedronAngle is also known as solid angle or dihedral angle.
Examples
open all close allBasic Examples (2)
The dihedral angle between two faces with common edge {1,2} of ℛ in canonical form:
The solid angle at the vertex point {0,0,0} and spanned by edges:
The solid angle of ℛ at the point 1 in canonical form:
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-November-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-November-2025]}