object TwoComplex
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- def allCollapsed(complex: TwoComplex): (TwoComplex, ((EdgePath) => EdgePath, (EdgePath) => EdgePath))
- def allCollapsed1(complex: TwoComplex): TwoComplex
- final def asInstanceOf[T0]: T0
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- def halfEdges(edges: List[Edge], accum: Set[Edge]): Set[Edge]
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- def mergeFaces(e: Edge, first: Polygon, second: Polygon): Polygon
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- def nonLoop(complex: TwoComplex): Option[Edge]
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- def pure(fs: Polygon*): TwoComplex
- def symbolic(vertexNames: String*)(edgeMap: (String, (String, String))*)(faceMap: (String, Seq[(String, Boolean)])*): TwoComplex
Symbolic two-complexes, i.e.
Symbolic two-complexes, i.e. two-complexes with vertices, edges and faces determined by their names.
For example, here is how a torus is constructed.
TwoComplex.symbolic( "x")( "a" -> ("x", "x"), "b" -> ("x", "x"))( "face" -> Seq("a" -> true, "b" -> true, "a" -> false, "b" -> false) )- vertexNames
names of vertices separated by commas,
- edgeMap
edgepair names mapped to initial and terminal vertices
- faceMap
face-names mapped to pairs (edge-name, isPositivelyOriented)
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two-complex determined by the data
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