Find another dissection with three triangles. For which rectangles is it possible ? Solution

The dissection into 3 triangles fails if we start from a square (the green and blue triangles become equal)

How many triangles are then necessary ?
Solution

Dissect a rectangle into rectangles similar to each others is not hard.

(here 2×4, 4×8 and 5×10 inside a 9×10 rectangle)

But if **all** rectangles, including the big one, have to be similar and unequal ?
Solution

How many rectangles at least if all rectangles have integer dimensions ? Solution

A square into similar non equal rectangles ? Solution

A square into all unequal squares ?
Solution

Details