PolyhedronGenus
PolyhedronGenus
PolyhedronGenus[poly]
gives the genus of the polyhedron poly.
Details
- PolyhedronGenus is also known as genus.
- PolyhedronGenus gives the maximum number of cuttings along non-intersecting closed simple curves on the surface of the polyhedron without disconnecting the polyhedron.
Examples
open all close allScope (3)
PolyhedronGenus works on polyhedrons:
Properties & Relations (3)
Use EulerCharacteristic to compute PolyhedronGenus for a simple polyhedron:
Convex polyhedron has zero genus:
The genus of UniformPolyhedron is 0:
Wolfram Research (2019), PolyhedronGenus, Wolfram Language function, https://reference.wolfram.com/language/ref/PolyhedronGenus.html.
Text
Wolfram Research (2019), PolyhedronGenus, Wolfram Language function, https://reference.wolfram.com/language/ref/PolyhedronGenus.html.
CMS
Wolfram Language. 2019. "PolyhedronGenus." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PolyhedronGenus.html.
APA
Wolfram Language. (2019). PolyhedronGenus. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PolyhedronGenus.html