verticesDualPolytope -- The dual vertices of a polytope.

Synopsis

• Usage:

  verticesDualPolytope(C)

• Inputs:
  • C, an embedded complex, a polytope
• Outputs:
  • a matrix

Description

i1 : R=QQ[x_0..x_4]

o1 = R

o1 : PolynomialRing

i2 : C=simplex(R)

o2 = 4: x x x x x  
         0 1 2 3 4

o2 : complex of dim 4 embedded in dim 4 (printing facets)
     equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 1}, Euler = 0

i3 : verticesDualPolytope C

o3 = | -1 -1 -1 4  |
     | -1 -1 4  -1 |
     | -1 4  -1 -1 |
     | 4  -1 -1 -1 |
     | -1 -1 -1 -1 |

              5        4
o3 : Matrix QQ  <--- QQ

See also

• dualGrading -- The dual vertices of a polytope.
• grading -- The grading of a first order deformation or complex or polynomial ring.
• polytopalFacets -- The facets of a polytope.
• dualize -- The dual of a face or complex.
• isPolytope -- Check whether a complex is a polytope.
• facets -- The maximal faces of a complex.