Re: [math-fun] Advances in Squared Squares

It looks like this page has some squared tori with aligned squares (the 181 x 181 solution is square): http://www.squaring.net/sq/spt/st/st.html Tom Dan Asimov writes:

Thanks for clarifying, Tom — I read Allan's post too quickly.

That's good to know. (Did we ever decide how many different-size squares could tile the plane periodically?)

But I'm pretty sure I've never seen a squared square torus with all different size squares aligned orthogonally (meaning, parallel to the sides of the "square" of the torus) and no 4-way intersections (which excludes squared squares).

(As I mentioned, I first wondered about this regarding whether the 24 squares of sides 1 through 24 could tile a 70x70 square torus.)

—Dan