Make a complex from a list of faces and/or facets.
This is mostly used internally but may be occasionally useful for the end user.
i1 : R=QQ[x_0..x_5] o1 = R o1 : PolynomialRing |
i2 : C=boundaryCyclicPolytope(3,R)
o2 = 2: x x x x x x x x x x x x x x x x x x x x x x x x
0 1 2 0 2 3 0 3 4 0 1 5 1 2 5 2 3 5 0 4 5 3 4 5
o2 : complex of dim 2 embedded in dim 5 (printing facets)
equidimensional, simplicial, F-vector {1, 6, 12, 8, 0, 0, 0}, Euler = 1
|
i3 : fC=fc C
o3 = {{{}}, {x , x , x , x , x , x }, {x x , x x , x x , x x , x x , x x ,
0 1 2 3 4 5 0 1 0 2 1 2 0 3 2 3 0 4
------------------------------------------------------------------------
x x , x x , x x , x x , x x , x x }, {x x x , x x x , x x x , x x x ,
3 4 0 5 1 5 2 5 3 5 4 5 0 1 2 0 2 3 0 3 4 0 1 5
------------------------------------------------------------------------
x x x , x x x , x x x , x x x }, {}, {}, {}}
1 2 5 2 3 5 0 4 5 3 4 5
o3 : List
|
i4 : C1=complex(R,fC)
o4 = 2: x x x x x x x x x x x x x x x x x x x x x x x x
0 1 2 0 2 3 0 3 4 0 1 5 1 2 5 2 3 5 0 4 5 3 4 5
o4 : complex of dim 2 embedded in dim 5 (printing facets)
equidimensional, simplicial, F-vector {1, 6, 12, 8, 0, 0, 0}, Euler = 1
|
i5 : C==C1 o5 = true |
If both the list of faces and facets is specified there is no consistency check.
The object complex is a method function.