4面体空间含支链4点结构种类与占比

在30个点的4面体内取4个点，要求这4个点可以是直链或支链，

共有188个结构符合要求，36个直链结构每个有4个。

这种支链结构每个有10个

这种支链结构每个有1个

旋转对称关系为

A			B			C			D
0	120	240	0	120	240	0	120	240	0	120	240
0	0	0	1	11	4	1	11	4	4	1	11
2	16	6	24	10	18	26	12	22	33	39	31
3	17	5	27	14	21	23	9	20	35	36	30
7	13	15	25	8	19	37	28	40	32	41	29
34	42	38	42	38	34	38	34	42	43	43	43

这里支链占比为44/188=23.4%

用随机方法验算

	组合	0.00686		随机	0.00752		随机	0.0067
	27405	188		100000	752		200000	1340
0	10	0.053191	0	42	0.055851	0	73	0.054478
1	10	0.053191	1	56	0.074468	1	88	0.065672
2	4	0.021277	2	11	0.014628	2	30	0.022388
3	4	0.021277	3	15	0.019947	3	31	0.023134
4	10	0.053191	4	53	0.070479	4	71	0.052985
5	4	0.021277	5	17	0.022606	5	29	0.021642
6	4	0.021277	6	15	0.019947	6	24	0.01791
7	4	0.021277	7	12	0.015957	7	26	0.019403
8	4	0.021277	8	17	0.022606	8	31	0.023134
9	4	0.021277	9	16	0.021277	9	23	0.017164
10	4	0.021277	10	16	0.021277	10	24	0.01791
11	10	0.053191	11	45	0.05984	11	73	0.054478
12	4	0.021277	12	10	0.013298	12	25	0.018657
13	4	0.021277	13	9	0.011968	13	30	0.022388
14	4	0.021277	14	8	0.010638	14	24	0.01791
15	4	0.021277	15	17	0.022606	15	27	0.020149
16	4	0.021277	16	12	0.015957	16	33	0.024627
17	4	0.021277	17	11	0.014628	17	31	0.023134
18	4	0.021277	18	26	0.034574	18	21	0.015672
19	4	0.021277	19	14	0.018617	19	25	0.018657
20	4	0.021277	20	20	0.026596	20	34	0.025373
21	4	0.021277	21	15	0.019947	21	27	0.020149
22	4	0.021277	22	17	0.022606	22	23	0.017164
23	4	0.021277	23	23	0.030585	23	17	0.012687
24	4	0.021277	24	21	0.027926	24	35	0.026119
25	4	0.021277	25	13	0.017287	25	26	0.019403
26	4	0.021277	26	12	0.015957	26	26	0.019403
27	4	0.021277	27	14	0.018617	27	38	0.028358
28	4	0.021277	28	15	0.019947	28	37	0.027612
29	4	0.021277	29	10	0.013298	29	34	0.025373
30	4	0.021277	30	14	0.018617	30	21	0.015672
31	4	0.021277	31	18	0.023936	31	24	0.01791
32	4	0.021277	32	8	0.010638	32	23	0.017164
33	4	0.021277	33	18	0.023936	33	31	0.023134
34	1	0.005319	34	3	0.003989	34	10	0.007463
35	4	0.021277	35	17	0.022606	35	35	0.026119
36	4	0.021277	36	12	0.015957	36	31	0.023134
37	4	0.021277	37	17	0.022606	37	22	0.016418
38	1	0.005319	38	6	0.007979	38	7	0.005224
39	4	0.021277	39	13	0.017287	39	29	0.021642
40	4	0.021277	40	20	0.026596	40	29	0.021642
41	4	0.021277	41	17	0.022606	41	31	0.023134
42	1	0.005319	42	4	0.005319	42	5	0.003731
43	1	0.005319	43	3	0.003989	43	6	0.004478