So many eights!

Can you draw uncountably many non-intersecting “8” shapes in the plane (they can be contained in one another)?

No, you can’t. For each “8” shape you can choose a pair of points with rational coefficients – one in its top loop and one in its bottom loop. Since no two “8” shapes can have the same corresponding pair of rational points, their number should be countable.

+ latest posts

We do not know where this puzzle originated from. If you have any information, please let us know via email.


Your email address will not be published. Required fields are marked *