Triangle Partitions

This is my contribution to the discussion about triangle partition at Ed Pegg's pages www.mathpuzzle.com


New problem: To find partitions, such that no pair of triangles forms a quadrangle - NON4 partitions

NON4 partitions
order prime composed
4 1 0
5 0 0
6 2 0
7 0 4
8 0 0

46
7


Triangle partitions

partition
order all prime
2 1 1
3 4 1
4 23 3
5 180 8
6 1806 62
7 20198 535
8 227120 ? 4213

 

order-2 prime order-3 prime

order-4 primes

order-5 primes

order-6 primes
order-7 primes  200kB
order-8 primes  650kB  zipped postscript