regularFineStarTriangulation -- a regular fine star triangulation of a polytope's boundary

• Usage:

  star = regularFineStarTriangulation A

• Inputs:
  • A, a matrix, whose columns are the boundary points of a polytope
• Optional inputs:
  • ConeIndex => an integer, default value null, the column index to use as the cone center; if null (default), the cone center is treated as a new point at index numColumns A
• Outputs:
  • a list, a list of simplices forming a star triangulation, equivalent to fineStarTriangulation(A, topcomRegularFineTriangulation A)

i1 : A = transpose matrix {{1,1},{-1,1},{-1,-1},{1,-1}}

o1 = | 1 -1 -1 1  |
     | 1 1  -1 -1 |

              2       4
o1 : Matrix ZZ  <-- ZZ

i2 : regularFineStarTriangulation A

o2 = {{0, 1, 4}, {0, 3, 4}, {1, 2, 4}, {2, 3, 4}}

o2 : List