If you play connect the dots on an n by n grid, can you make an n2-gon?
The picture shows a 256-sided figure formed on a 16-by-16 grid of dots.
Try 3-by-3, 4 by 4, 5-by-5, and 6-by-6 if you’re keen!
Want to learn more about the mathematics?
You can find out more about this problem in a soon-to-print article in Mathematics Magazine!
Closely related to the Sierpinski Curve and the Hilbert Curve
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