directProduct(Fan,Fan) -- computes the direct product of two fans

Synopsis

Function: directProduct
Usage:

F = directProduct(F1,F2)
Inputs:
- F1, an instance of the type Fan
- F2, an instance of the type Fan
Outputs:
- F, an instance of the type Fan

Description

The directProduct of two fans is the fan given by C = C1 x C2 for all cones C1 in F1 and C2 in F2 in the direct product of the ambient spaces.

i1 : F1 = normalFan hypercube 1

o1 = {ambient dimension => 1         }
      number of generating cones => 2
      number of rays => 2
      top dimension of the cones => 1

o1 : Fan

i2 : F2 = normalFan hypercube 2

o2 = {ambient dimension => 2         }
      number of generating cones => 4
      number of rays => 4
      top dimension of the cones => 2

o2 : Fan

i3 : F = directProduct(F1,F2)

o3 = {ambient dimension => 3         }
      number of generating cones => 8
      number of rays => 6
      top dimension of the cones => 3

o3 : Fan

i4 : F == normalFan hypercube 3

o4 = true

Ways to use this method: