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need help on homework
Started by: The Ones

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mechmoggy
Northern Monkey

Gender: Male
Location: Changing nappies

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?

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May 14th, 2005 01:03 PM

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The Ones
Death Eater

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Location: UK

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

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May 14th, 2005 01:11 PM

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BENITO
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Re: need help on homework

quote: (post)
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?

use snoopy stationary

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May 14th, 2005 02:05 PM

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mechmoggy
Northern Monkey

Gender: Male
Location: Changing nappies

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. confused

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May 14th, 2005 02:48 PM

mechmoggy
Northern Monkey

Gender: Male
Location: Changing nappies

Forgot to add piccy...

Attachment: maths_question.jpg
This has been downloaded 29 time(s).

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May 14th, 2005 02:49 PM

Sir Whirlysplat
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Re: need help on homework

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

quote: (post)
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?

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May 14th, 2005 05:47 PM

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

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May 15th, 2005 12:26 PM

misha
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quote: (post)
Originally posted by mechmoggy
Here's a good line for you: -

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

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

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May 15th, 2005 12:29 PM

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Sir Whirlysplat
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quote: (post)
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 smile