description of what this is

Some Plots:

Fans from {{0, 1}, {1, 0}, {-1, -1}} with rays aded

Adding rays to P² was an easy way to generate simple examples for testing

added in first quadrant: data in text form, image preview of plots, full cdf file of plots,

added in second quadrant: data in text form, image preview of plots, full cdf file of plots,

added in third quadrant: data in text form, image preview of plots, full cdf file of plots,

added in fourth quadrant: data in text form, image preview of plots, full cdf file of plots,

Fans from {{2, 3}, {1, -2}, {-8, 1}} with rays added

Borrowed from [Gonzalez-Karu], this is the fan for P(15, 26, 7) and has non-finitely generated cox ring

added in first quadrant: data in text form, image preview of plots, full cdf file of plots,

added in second quadrant: data in text form, image preview of plots, full cdf file of plots,

added in third quadrant: data in text form, image preview of plots, full cdf file of plots,

added in fourth quadrant: data in text form, image preview of plots, full cdf file of plots,

Fans from {{11, 3}, {-4, -3}, {-2, 3}} with rays added

Also borrowed from [Gonzalez-Karu], this is the fan for a quotient of P(6, 13, 7) and has non-finitely generated cox ring

added in first quadrant: data in text form, image preview of plots, full cdf file of plots,

added in second quadrant: data in text form, image preview of plots, full cdf file of plots,

added in third quadrant: data in text form, image preview of plots, full cdf file of plots,

added in fourth quadrant: data in text form, image preview of plots, full cdf file of plots,

Fans from {{13, 10}, {-13, -9}, {1, 0}} with rays added

This is the fan for P(9,10,13) whose blow-up is conjectured to have a nef cone with a face of irrational slope

added in first quadrant: data in text form, image preview of plots, full cdf file of plots,

added in second quadrant: data in text form, image preview of plots, full cdf file of plots,

added in third quadrant (to compensate for long runtimes, these were generated with fewer points than usual): data in text form, image preview of plots, full cdf file of plots,

added in fourth quadrant (to compensate for long runtimes, these were generated with fewer points than usual): data in text form, image preview of plots, full cdf file of plots,

Fans with randomly chosen rays, one in each quadrant

set 1: data in text form, image preview of plots, full cdf file of plots,

set 2: data in text form, image preview of plots, full cdf file of plots,

set 3: data in text form, image preview of plots, full cdf file of plots,

set 4: data in text form, image preview of plots, full cdf file of plots,

set 5: data in text form, image preview of plots, full cdf file of plots,

set 6: data in text form, image preview of plots, full cdf file of plots,

set7: data in text form, image preview of plots, full cdf file of plots,

set 8: data in text form, image preview of plots, full cdf file of plots,