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verticesDualPolytope -- The dual vertices of a polytope.

Usage:

verticesDualPolytope(C)
Inputs:
- C, an embedded complex, a polytope
Outputs:
- a matrix,

Description

Computes the vertices of the dual polytope of C in the row of a matrix. The rows are sorted according to the polytopalFacets of C.

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.

Ways to use verticesDualPolytope:

verticesDualPolytope(Complex)

For the programmer

The object verticesDualPolytope is a method function.

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/SRdeformations.m2:6060:0.