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 |
4
6
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 |
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order-4 primes

order-5 primes

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