Class SimplicialComplex

java.lang.Object

org.episteme.core.mathematics.topology.SimplicialComplex

public class SimplicialComplex
extends Object

Represents a Simplicial Complex.

A simplicial complex is a set of simplices that satisfies the following conditions: 1. Every face of a simplex from the set is also in the set. 2. The non-empty intersection of any two simplices σ1, σ2 is a face of both σ1 and σ2.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
SimplicialComplex()

Method Summary

Modifier and Type	Method	Description
void	addSimplex(int... vertices)	Adds a simplex and all its faces to the complex.
int	dimension()
Set<Simplex>	getSimplices()
int	size()

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

SimplicialComplex

public SimplicialComplex()

Method Details

addSimplex

public void addSimplex(int... vertices)

Adds a simplex and all its faces to the complex.

Parameters:

vertices - the vertices defining the simplex

dimension

public int dimension()

size

public int size()

getSimplices

public Set<Simplex> getSimplices()