Assignments will count as 10% of the course grade, and are due by Noon on Tuesdays in the homework box for our class, by 410 Math.
Continue to explore variations on the last problem from our exam:
How many ways can one cut an n-gon into two pieces?
How many ways can one cut an n-gon into three pieces?
Number of diagonal dissections of an n-gon into 3 regions
How many ways can one cut an n-gon into four pieces?
Number of diagonal dissections of an n-gon into 4 regions
In each case, start with small values of n, and see if you can find a formula.
I have made up some “n-gon” paper for drawing on, while playing with these problems: n-gon paper