boundaryCells -- returns the boundary cells of the given cell

Synopsis

Usage:

boundaryCells(C)
Inputs:
- C, a cell, whose boundary is to be returned
Outputs:
- a list, of the cells in the boundary of C

Description

Given a cell C, this command returns a list whose elements are the boundary cells of C. This differs from boundary in that it returns only the boundary cells of C, whereas boundaryCells returns a list of two-element sequences of the boundary cells and their corresponding orientation.

i1 : R = QQ[x,y,z];

i2 : vx = newSimplexCell({},x);

i3 : vy = newSimplexCell({},y);

i4 : vz = newSimplexCell({},z);

i5 : exy = newSimplexCell {vx,vy};

i6 : C = cellComplex(R,{exy,vz});

i7 : boundaryCells(exy)

o7 = {Cell of dimension 0 with label x, Cell of dimension 0 with label y}

o7 : List

i8 : boundaryCells(vz)

o8 = {}

o8 : List

i9 : R = QQ;

i10 : P = convexHull matrix {{1,1,-1,-1},{1,-1,1,-1}};

i11 : C = cellComplex(R,P);

i12 : f = (cells(2,C))#0;

i13 : boundaryCells(f)

o13 = {Cell of dimension 1 with label 1, Cell of dimension 1 with label 1,
      -----------------------------------------------------------------------
      Cell of dimension 1 with label 1, Cell of dimension 1 with label 1}

o13 : List

Ways to use boundaryCells :

boundaryCells(Cell)

For the programmer

The object boundaryCells is a method function.

boundaryCells -- returns the boundary cells of the given cell

Synopsis

Description

See also

Ways to use boundaryCells :

For the programmer