need help on homework

I can't see a direct mathematical relationship by adding more lines, is there a specific rule to adding these lines? i.e. do they have to cross through existing points, or can they be drawn arbitrarily?

they have to be drawn with a ruler, they cant be parralel and no more than 2 lines going over 1 point

ive got to find a pettern for the maxinum number of lines fo open regions, closed regions and cross overs and proove for 20 line without drawing it and write a report for it

Originally posted by The Ones
i have to write a report on lines, crossovers and regions. can someone give me a few things on what i need to include and how to set it out?

Okay, I think this is right...but I'd still do it again yourself to check I haven't made a mistake: -

It sounds like the trick is that any new line you add has to cross 3 existing lines, no more or no less. The original drawing gave the following results: -

4 lines gave 6 cross over points, 11 regions (8 open, 3 closed)

I then added a line at a time to see what happened: -

5 lines gave 9 cross over points, 15 regions (10 open, 5 closed)

6 lines gave 12 cross over points, 19 regions (12 open, 7 closed)

7 lines gave 15 cross over points, 23 regions (14 open, 9 closed)

See the pattern?

If I'm right, then you should get...

20 lines will give 54 cross over points, 75 regions (40 open, 35 closed)

Or something like that. 😕

Forgot to add piccy...

add 16 more lines crosing the structue count how many are closed have no open sides and how many are open, easy

Originally posted by The Ones
i have to write a report on lines, crossovers and regions. can someone give me a few things on what i need to include and how to set it out?

mechmoggy, your a life saver. THANK YOU!!!!!!!!!

Originally posted by mechmoggy
Here's a good line for you: -

hoover

😂

but seriously - i dont understand what you have to write 😕

just say something like .... i dunno ... how some things are open, some are closed 😖

Originally posted by misha

😂

but seriously - i dont understand what you have to write 😕

just say something like .... i dunno ... how some things are open, some are closed 😖

Counting how they change as you add more lines 🙂 thereby gving your relationship 😄

No probs. 👆