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A triangular version of Peg Solitaire with 15 holes and 14 pegs. Numbering hole 1 at the apex of the triangle and thereafter from left to right on the next lower row, etc., the following table gives possible ending holes for a single peg removed (Beeler et al. 1972, Item 76). Because of symmetry, only the first five pegs need be considered. Also because of symmetry, removing peg 2 is equivalent to removing peg 3 and flipping the board horizontally.
| remove | possible ending pegs |
| 1 | 1,  , 13 |
| 2 | 2, 6, 11, 14 |
| 4 |  , 4, 9, 15 |
| 5 | 13 |
References
Beeler, M.; Gosper, R. W.; and Schroeppel, R. Item 75 in HAKMEM. Cambridge, MA: MIT
Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972.