Talk:Henry Ernest Dudeney/Modern Puzzles/178 - The Seven-Pointed Star/Solution

There are 1008 solutions. We can reduce the number of solutions by a factor of 7 for each tip of the star and then by a factor of 2 due to left-right symmetry. [1] There are 72 unique solutions.

Σ 7 points (star)	#Sols	Div 7	Div 2
28	28	4	2
31	14	2	1
32	28	4	2
33	14	2	1
34	14	2	1
35	28	4	2
36	28	4	2
39	14	2	1
40	28	4	2
41	28	4	2
42	42	6	3
43	28	4	2
44	28	4	2
48	28	4	2
49	56	8	4
50	14	2	1
51	42	6	3
52	42	6	3
53	42	6	3
54	42	6	3
55	14	2	1
56	56	8	4
57	28	4	2
61	28	4	2
62	28	4	2
63	42	6	3
64	28	4	2
65	28	4	2
66	14	2	1
69	28	4	2
70	28	4	2
71	14	2	1
72	14	2	1
73	28	4	2
74	14	2	1
77	28	4	2
Σ	1008	144	72

--Julia Hartman (talk) 07:22, 26 June 2023 (UTC)

--Julia Hartman (talk) 17:43, 6 July 2023 (UTC)