Talk:Henry Ernest Dudeney/Modern Puzzles/179 - Two Eight-Pointed Stars/Solution

There are 1792 solutions. We can reduce the number of solutions by a factor of 8 for each tip of the star and then by a factor of 2 due to left-right symmetry. [1] There are 112 unique solutions.

Σ 8 points (star)	#Sols	Div 8	Div 2
38	32	4	2
42	32	4	2
44	16	2	1
46	80	10	5
48	16	2	1
50	64	8	4
52	80	10	5
54	48	6	3
56	32	4	2
58	96	12	6
60	112	14	7
62	80	10	5
64	16	2	1
66	48	6	3
68	288	36	18
70	48	6	3
72	16	2	1
74	80	10	5
76	112	14	7
78	96	12	6
80	32	4	2
82	48	6	3
84	80	10	5
86	64	8	4
88	16	2	1
90	80	10	5
92	16	2	1
94	32	4	2
98	32	4	2
Σ	1792	224	112

--Julia Hartman (talk) 15:19, 6 July 2023 (UTC)

--Julia Hartman (talk) 17:42, 6 July 2023 (UTC)