Lines, Crossovers and Regions Coursework.

Checklist.

In order to complete your work, do everything in bold type.

To score highly, your coursework should contain all of the following:

·  A clear introduction.

·  At least 5 CORRECT diagrams to show you have tried out the problem.

·  An explanation of how to get the maximum number of crossovers.

·  A table of results.

·  An explanation of why the crossovers sequence goes up like it does.

·  Working out of formula for the number of crossovers.

n / 1 / 2 / 3 / 4 / 5 / 6
crossovers / 0 / 1 / 3 / 6 / 10 / 15
1 / 2 / 3 / 4 / 5
1 / 1 / 1 / 1
__n²

·  Working out of the formulas for open regions and closed regions.

·  Working out of the formula for the total regions.

·  Test that your formulas work using the next diagram.