flats -- list the flats of an arrangement of given rank

Synopsis

• Usage:

  flats(n,A)

• Inputs:
  • n, an integer, rank
  • A, a hyperplane arrangement, hyperplane arrangement
• Outputs:
  • L, a list, A list of flats of rank n

Description

i1 : A := typeA(3)

o1 = {x  - x , x  - x , x  - x , x  - x , x  - x , x  - x }
       1    2   1    3   1    4   2    3   2    4   3    4

o1 : Hyperplane Arrangement 

i2 : flats(2,A)

o2 = {{0, 1, 3}, {0, 2, 4}, {0, 5}, {1, 4}, {1, 2, 5}, {2, 3}, {3, 4, 5}}

o2 : List

See also

• circuits -- list the circuits of an arrangement