mConvexHullFaces -- Faces of a convex hull.

Synopsis

Usage:

mConvexHullFaces(L)
Inputs:
- L, a list, of Vectors
Optional inputs:
- toFile => ..., default value null, Store result in a file.
Outputs:
- a list,

Description

Returns a list of

- a Matrix A with the vertices of the convex hull of L in its rows

- a list of lists with the faces of the convex hull sorted by increasing dimension.

The vertices of the faces are represented by the indices of the rows of A.

This uses the Convex functions convHull and faces.

i1 : L={vector {1,0,0},vector {-1,0,0},vector {0,1,0},vector {0,-1,0},vector {0,0,1},vector {0,0,-1}}

o1 = {| 1 |, | -1 |, | 0 |, | 0  |, | 0 |, | 0  |}
      | 0 |  | 0  |  | 1 |  | -1 |  | 0 |  | 0  |
      | 0 |  | 0  |  | 0 |  | 0  |  | 1 |  | -1 |

o1 : List

i2 : P=mConvexHullFaces(L)

o2 = {| 1  0  0  |, {{{}}, {{1}, {2}, {3}, {4}, {5}, {6}}, {{3, 5}, {2, 5},
      | -1 0  0  |
      | 0  1  0  |
      | 0  -1 0  |
      | 0  0  1  |
      | 0  0  -1 |
     ------------------------------------------------------------------------
     {2, 3}, {1, 5}, {1, 3}, {4, 5}, {2, 4}, {1, 4}, {3, 6}, {2, 6}, {1, 6},
     ------------------------------------------------------------------------
     {4, 6}}, {{2, 3, 5}, {1, 3, 5}, {2, 4, 5}, {1, 4, 5}, {2, 3, 6}, {1, 3,
     ------------------------------------------------------------------------
     6}, {2, 4, 6}, {1, 4, 6}}, {{1, 2, 3, 4, 5, 6}}}}

o2 : List

Ways to use mConvexHullFaces :

mConvexHullFaces(List)

For the programmer

The object mConvexHullFaces is a method function with options.