#55 Squares in squares
Set by Alison Kiddle
I have 72 mosaic tiles, which I have formed into a square picture frame. The frame measures 9 by 9, and it can display a picture of size 3 by 3.
Can you use the same tiles to create a square picture frame of a different size that holds a bigger photo?
For square frames like this more generally, with a square photo in the exact centre, how many tiles might you need? What properties do these numbers share?
Given a number of tiles, can you determine which possible frames can be…
