Point-to-line, straight-line sub-plane, planar sub-space

Source: Internet
Author: User


As shown in the following table:


X

0

1

2

3

4

5

6

7

8

9

N

X points can be divided into the number of parts of a line

1

2

3

4

5

6

7

8

9

10

An=n+1

X line can divide the plane into how many parts B

1

2

4

7

11

16

22

29

37

46

Bn=bn-1+an-1

= N (n+1)/2+1

X plane can divide the space into the number of parts C

1

2

4

8

15

26

42

64

93

130

Cn=cn-1+bn-1



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