Patchwork Quilt
Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?
Problem
Here is a square made from a yellow triangle and a white triangle:
I want to make a patchwork pattern by joining together four of these squares to make a bigger square.
I only join together edges of the squares if they are the same colour.
How many different patchwork patterns are possible?
Image
I want to make a patchwork pattern by joining together four of these squares to make a bigger square.
I only join together edges of the squares if they are the same colour.
How many different patchwork patterns are possible?
Student Solutions
The only possible distinct patterns are:
Image