polycount {RCBR}

Check Cell Count for degenerate hyperplane arrangements

Description

When the hyperplane arrangement is degenerate, i.e. not in general position, the number of distinct cells can be checked against the formula of Alexanderson and Wetzel (1981).

Usage

polycount(A, b, maxints = 10)

Arguments

A

is a n by m matrix of hyperplane slope coefficients

b

is an n vector of hyperplane intercept coefficients

maxints

is maximum number of lines allowed to cross at the same vertex

Value

number of distinct cells

References

Alexanderson, G.L and J.E. Wetzel, (1981) Arrangements of planes in space, Discrete Math, 34, 219–240.