A363979 Number of nonsimilar polygonal regions in a regular n-gon with all diagonals drawn.
1, 1, 3, 3, 7, 7, 14, 13, 25, 19, 37, 35, 58, 53, 82, 58, 112, 98, 150, 133, 177, 151, 239, 212, 300, 275, 369, 244, 455, 409, 530, 488, 631, 526, 736, 683, 858, 800, 975, 794, 1133, 1056, 1291, 1227, 1487, 1289, 1666, 1600, 1889, 1797, 2102, 1884, 2373, 2242, 2621, 2496, 2878, 2458
Offset: 3
Keywords
Examples
This sequence is the same as A187781 for n<10 because n=10 is the smallest n such that there exist regions that are similar but not congruent.
Links
- Bjorn Poonen and Michael Rubinstein, The Number of Intersection Points Made by the Diagonals of a Regular Polygon, SIAM J. Discrete Mathematics 11 (1998), nr. 1, pp. 135-156; doi: 10.1137/S0895480195281246; arXiv version, arXiv:math/9508209 [math.MG], 1995-2006.
- Christopher Scussel, Illustration of similarity without congruence at a(10)
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