统计3个点在3维空间的分布
在4*4*4的立方体中，随机取3个点，有64*63*62/6=41664个结构，
| 21440 |
% |
20224 |
% |
|||
| 1 |
1728 |
0.0415 |
17 |
1728 |
0.041475 |
|
| 2 |
1728 |
0.0415 |
18 |
1728 |
0.041475 |
|
| 3 |
576 |
0.0138 |
19 |
384 |
0.009217 |
|
| 4 |
576 |
0.0138 |
20 |
3456 |
0.082949 |
|
| 5 |
576 |
0.0138 |
21 |
3456 |
0.082949 |
|
| 6 |
576 |
0.0138 |
22 |
384 |
0.009217 |
|
| 7 |
64 |
0.0015 |
23 |
576 |
0.013825 |
|
| 8 |
1728 |
0.0415 |
24 |
1728 |
0.041475 |
|
| 9 |
576 |
0.0138 |
25 |
576 |
0.013825 |
|
| 10 |
1728 |
0.0415 |
26 |
2304 |
0.0553 |
|
| 11 |
576 |
0.0138 |
27 |
3456 |
0.082949 |
|
| 12 |
576 |
0.0138 |
28 |
384 |
0.009217 |
|
| 13 |
64 |
0.0015 |
29 |
64 |
0.001536 |
|
| 14 |
3456 |
0.0829 |
||||
| 15 |
3456 |
0.0829 |
||||
| 16 |
3456 |
0.0829 |
Xy，xz，yz平面可以自由变换，不同的结构有29个。
其中有9个结构每个面都有1个
| 7 |
0 |
0 |
0 |
0 |
19 |
0 |
0 |
0 |
0 |
6 |
0 |
0 |
0 |
0 |
5 |
0 |
0 |
0 |
0 |
12 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
2 |
0 |
0 |
1 |
0 |
14 |
1 |
0 |
0 |
0 |
15 |
0 |
0 |
1 |
0 |
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
|||||||||
| 1 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|||||||||
| ***** |
7 |
***** |
6 |
***** |
6 |
***** |
5 |
***** |
5 |
***** |
1 |
***** |
2 |
***** |
1 |
***** |
2 |
|||||||||||||||||||||||||||
| 13 |
0 |
0 |
0 |
0 |
28 |
0 |
0 |
0 |
1 |
11 |
0 |
0 |
0 |
0 |
9 |
0 |
0 |
0 |
1 |
25 |
0 |
0 |
0 |
1 |
8 |
1 |
0 |
0 |
0 |
10 |
0 |
0 |
0 |
0 |
27 |
0 |
0 |
1 |
0 |
21 |
0 |
0 |
1 |
0 |
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|||||||||
| ***** |
6 |
***** |
***** |
4 |
***** |
2 |
***** |
2 |
***** |
1 |
***** |
3 |
***** |
2 |
***** |
2 |
||||||||||||||||||||||||||||
| 29 |
0 |
0 |
0 |
0 |
22 |
0 |
0 |
0 |
0 |
4 |
0 |
0 |
0 |
0 |
3 |
0 |
0 |
0 |
0 |
23 |
0 |
0 |
0 |
0 |
24 |
1 |
0 |
0 |
0 |
17 |
0 |
0 |
0 |
0 |
20 |
1 |
0 |
0 |
0 |
16 |
0 |
0 |
0 |
0 |
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| ** |
** |
** |
** |
** |
** |
** |
** |
** |
||||||||||||||||||||||||||||||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|||||||||
| 0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|||||||||
| ***** |
3 |
***** |
3 |
***** |
4 |
***** |
3 |
***** |
4 |
***** |
1 |
***** |
4 |
***** |
1 |
***** |
3 |
|||||||||||||||||||||||||||
如结构29为
如把结构7，13，29画到一起
就是这个立方体的长宽高
另外还有2个结构
| 26 |
1 |
0 |
0 |
0 |
18 |
0 |
0 |
0 |
0 |
|
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| ** |
** |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| ** |
** |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| ** |
** |
|||||||||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|||
| 0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
|||
| 0 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
|||
| ***** |
1 |
***** |
5 |
|||||||
结构18的3个点都在面对角线上，这样的结构只有1个
26的3个点都在体对角线上
这样的结构也只有1个。因此总的数量是9*3+2=29个。
因此每个面有11种不同的结构
| 7 |
0.001536 |
a |
13 |
0.001536 |
b |
29 |
0.001536 |
c |
18 |
0.041475 |
| 19 |
0.009217 |
a |
28 |
0.009217 |
b |
22 |
0.009217 |
c |
26 |
0.0553 |
| 6 |
0.013825 |
a |
11 |
0.013825 |
b |
4 |
0.013825 |
c |
||
| 5 |
0.013825 |
a |
9 |
0.013825 |
b |
3 |
0.013825 |
c |
||
| 12 |
0.013825 |
a |
25 |
0.013825 |
b |
23 |
0.013825 |
c |
||
| 1 |
0.041475 |
a |
8 |
0.041475 |
b |
24 |
0.041475 |
c |
||
| 2 |
0.041475 |
a |
10 |
0.041475 |
b |
17 |
0.041475 |
c |
||
| 14 |
0.082949 |
a |
27 |
0.082949 |
b |
20 |
0.082949 |
c |
||
| 15 |
0.082949 |
a |
21 |
0.082949 |
b |
16 |
0.082949 |
c |
占比最大的是14，27，20和15，21，16
14画出来
15
所以随机的向4*4*4的格子里扔3个石子，有8.29%的概率得到14，27，20和15，21，16中的一个，这6个结构占总分布的49.7%。所以如果把这6个结构看作一个，则有将近一半的概率会得到这个结构。3个点落在同一条直线上的概率最小仅占0.15%。
随机验算，随机了500次，1000次
| 排列组合 |
500 |
1000 |
|
| 1 |
0.041475 |
0.036 |
0.053 |
| 2 |
0.041475 |
0.034 |
0.048 |
| 3 |
0.013825 |
0.022 |
0.012 |
| 4 |
0.013825 |
0.016 |
0.012 |
| 5 |
0.013825 |
0.004 |
0.018 |
| 6 |
0.013825 |
0.018 |
0.013 |
| 7 |
0.001536 |
0.004 |
0.001 |
| 8 |
0.041475 |
0.03 |
0.046 |
| 9 |
0.013825 |
0.03 |
0.017 |
| 10 |
0.041475 |
0.036 |
0.035 |
| 11 |
0.013825 |
0.018 |
0.011 |
| 12 |
0.013825 |
0.012 |
0.019 |
| 13 |
0.001536 |
0 |
0.004 |
| 14 |
0.082949 |
0.07 |
0.085 |
| 15 |
0.082949 |
0.086 |
0.075 |
| 16 |
0.082949 |
0.08 |
0.076 |
| 17 |
0.041475 |
0.044 |
0.033 |
| 18 |
0.041475 |
0.038 |
0.039 |
| 19 |
0.009217 |
0.006 |
0.011 |
| 20 |
0.082949 |
0.086 |
0.093 |
| 21 |
0.082949 |
0.094 |
0.089 |
| 22 |
0.009217 |
0.01 |
0.007 |
| 23 |
0.013825 |
0.01 |
0.012 |
| 24 |
0.041475 |
0.042 |
0.033 |
| 25 |
0.013825 |
0.02 |
0.013 |
| 26 |
0.0553 |
0.05 |
0.051 |
| 27 |
0.082949 |
0.096 |
0.088 |
| 28 |
0.009217 |
0.008 |
0.006 |
| 29 |
0.001536 |
0 |
0 |
3条曲线很一致，所以3维空间中的3个物体的位置关系只有29种。改变空间尺寸只会改变占比，不会增加类别。无论他们如何运动，只能在29个状态中变来变去。