Tiling a square
Suppose we tile a square with non-overlapping pieces. How many sub-squares do we need? Suppose we'd like a decorative pattern like the one shown below. How many of each sub-type do we need?
n
=
Specifically, in terms of n, how many
- Total sub-squares,
- Blue sub-squares,
- Green sub-squares, and
- White sub-squares
do we need?