I love this. Mathematically elegant.I typically award cash prizes to the top 25% of the field size, and award points to the top 33% of the field size. The 10-6-3-1 payout structure (for points or cash) refers to when there are 4 places awarded (covering cash payouts for fields up to 16 players). For only three awarded places, just the lower 6-3-1 portion is used, and for just two places, 3-1 is used. For field sizes that require that 5 places be awarded, 15-10-6-3-1 is used.
Triangle numbers ftw!