Simplicial Homology of the Alpha Complex

distance parameter (α)

0.418

number of points

18

random seed

32

compute homology

Initialization timed out

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This Demonstration generates a random set of points and a corresponding simplicial complex, which is a topological space connecting those points. Computing the homology of a complex is a technique from algebraic topology to find groups that describe how the complex is connected.

If performance is slow (due to a large number of points), uncheck "compute homology" and change the other parameters.