If you play connect the dots on an 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

Want to learn how to make laser cut mathematical jewelry?
Check out my Intro to Rhino and get started with CAD today!

Want to buy some jewelry?
I’m not selling anything at this time.

Where can I find pictures of your other designs?
Coming soon.