Circle as Simplicial Complex


sphereSurface:(dim:NNI) -> FiniteSimplicialComplex(VertexSetAbstract) Generate a simplicial complex equivalent to the surface of a hyper-sphere. That is, the surface of a volume with no holes in it, so we use a minimal triangulation of the faces of a single simplex.


band:() -> FiniteSimplicialComplex(VertexSetAbstract) Generate a minimal triangulation of the surface of a cylinder without ends


Band - Cylinder without ends:

(1) -> band()

        +1  2  3+
        |1  2  6|
   (1)  |1  5  6|
        |2  3  4|
        |3  4  5|
        +4  5  6+
 Type: FiniteSimplicialComplex(VertexSetAbstract)
Two boundaries, shown in red and blue:band


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Chapter 6 - Topology. Contains a relatively gentle introduction to homology.


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