fullCyclicPolytope -- Cyclic polytope.

Synopsis

Usage:

fullCyclicPolytope(d,R)
Inputs:
- d, an integer, positive
- R, a polynomial ring,
Outputs:
- C, an embedded complex,

Description

Returns the full cyclic polytope of dimension d with vertices the variables of R. A coker grading is added to R via the vertices of the moment curve (if R already has a coker grading then a warning is displayed) and translated such that 0 lies in the interior of C.

i1 : R=QQ[x_0..x_5]

o1 = R

o1 : PolynomialRing

i2 : C=fullCyclicPolytope(3,R)

o2 = 3: x x x x x x  
         0 1 2 3 4 5

o2 : complex of dim 3 embedded in dim 3 (printing facets)
     equidimensional, non-simplicial, F-vector {1, 6, 12, 8, 1}, Euler = 0

Ways to use fullCyclicPolytope :

fullCyclicPolytope(ZZ,PolynomialRing)
fullCyclicPolytope(ZZ,PolynomialRing,PolynomialRing)

fullCyclicPolytope -- Cyclic polytope.

Synopsis

Description

See also

Ways to use fullCyclicPolytope :

For the programmer