等角不等边（边长限用 1,2,3,4,5,6,7,8,9）六边形有几个？旋转、翻转后相同的只算一个

王守恩

等角不等边(边长限用1,2,3,4,5,6,7,8,9)六边形有多少个? 旋转,翻转后相同的只算一个。

譬如{1,4,5,2,3,6}是1个。要求:第1个数是最小的,  第2个数比最后1个要小。

王守恩

等角不等边(边长只能用1,2,3,4,5,6,7,8,9九个数)六边形有53个。 谢谢 “浩瀚宇宙” ！

01: (1,4,5,2,3,6)——依次连接,首尾连接——等角不等边六边形
02: (1,4,5,3,2,7)
03: (1,4,6,2,3,7)
04: (1,4,6,3,2,8)
05: (1,4,7,2,3,8)
06: (1,4,7,3,2,9)
07: (1,4,8,2,3,9)
08: (1,5,3,4,2,6)
09: (1,5,6,2,4,7)
10: (1,5,6,4,2,9)
11: (1,5,7,2,4,8)
12: (1,5,8,2,4,9)
13: (1,6,3,5,2,7)
14: (1,6,4,5,2,8)
15: (1,6,5,3,4,7)
16: (1,6,5,4,3,8)
17: (1,6,7,2,5,8)
18: (1,6,7,3,4,9)
19: (1,6,8,2,5,9)
10: (1,7,3,6,2,8)
21: (1,7,4,5,3,8)
22: (1,7,4,6,2,9)
23: (1,7,6,3,5,8)
24: (1,7,8,2,6,9)
25: (1,8,3,7,2,9)
26: (1,8,4,6,3,9)
27: (1,8,6,4,5,9)
28: (1,8,7,3,6,9)
29: (2,5,6,3,4,7)
30: (2,5,6,4,3,8)
31: (2,5,7,3,4,8)
32: (2,5,7,4,3,9)
33: (2,5,8,3,4,9)
34: (2,6,4,5,3,7)
35: (2,6,7,3,5,8)
36: (2,6,8,3,5,9)
37: (2,7,4,6,3,8)
38: (2,7,5,6,3,9)
39: (2,7,6,4,5,8)
40: (2,7,6,5,4,9)
41: (2,7,8,3,6,9)
42: (2,8,4,7,3,9)
43: (2,8,5,6,4,9)
44: (2,8,7,4,6,9)
45: (3,6,7,4,5,8)
46: (3,6,7,5,4,9)
47: (3,6,8,4,5,9)
48: (3,7,5,6,4,8)
49: (3,7,8,4,6,9)
50: (3,8,5,7,4,9)
51: (3,8,7,5,6,9)
52: (4,7,8,5,6,9)
53: (4,8,6,7,5,9)

王守恩

意犹未尽。仿楼上。再来一道。

等角不等边(边长限用1,2,3,4,5,6,7,8,9)八边形有多少个? 旋转,翻转后相同的只算一个。

01: (1,2,4,3,1,2,4,3)——依次连接,首尾连接——等角不等边八边形——至少有4条边是不等的。