Two rectangles, neither of which will fit inside the other, are said to be incomparable. This is equivalent to one rectangle being both longer and narrower. At least seven and at most eight mutually incomparable rectangles are needed to tile a given rectangle (Wells 1991).

# Incomparable Rectangles

## See also

Rectangle## Explore with Wolfram|Alpha

## References

Wells, D.*The Penguin Dictionary of Curious and Interesting Geometry.*London: Penguin, pp. 116-117, 1991.

## Referenced on Wolfram|Alpha

Incomparable Rectangles## Cite this as:

Weisstein, Eric W. "Incomparable Rectangles."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/IncomparableRectangles.html