Maths Coursework – N Lines

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Maths Coursework - N Lines

Please note that this coursework depends heavily on the graphics available in the attached word document.

RULES

To find out the regions it is:

Lines + lines + closed regions

(n+n= closed regions)

To find out crossovers it is:

Lines ? (lines - 1)

2

n? (n-1)

2

To find out open regions it is:

Lines ? 2

(n?2)

To find out closed regions it is:

Region - open regions

3 lines

1

2 3 4

5 6 7

7 regions

6 open regions

closed region

3 crossovers

5 lines

1

2

3

4

5

6 7

8

9

10 11 12 13
Join now!


16 regions

10 open region

15 6 closed regions

10 crossovers

14

16

6 lines

1 2 3 4 5

6

7 8 9 10

13 14

1 12

16

17

18 19

20 regions

15 crossovers

12 open regions

10 closed regions

20

21

22

This is what I predicted

7 lines

2 3 4 5 6

11 13 14

10 15

7 ...

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