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Mar 15, 2023 at 10:44 comment added Nandakumar R Are there convex regions which (i) do not perfectly tile the plane, (ii) cannot form a perfect 2-cover of the plane but (ii) can form a perfect 3-cover of the plane? And one can push 3 in this question to n.
Nov 8, 2017 at 0:49 history edited Joseph O'Rourke CC BY-SA 3.0
Fixed broken image links.
Oct 24, 2014 at 1:39 comment added Joseph O'Rourke Those hexagon 2-covers are pleasingly intricate, Noam! :-)
Oct 23, 2014 at 22:55 comment added Noam D. Elkies You're welcome, and thank you! I noticed later that there's a further generalization to a 2-parameter family of convex hexagons; see the new pictures.
Oct 23, 2014 at 22:53 history edited Noam D. Elkies CC BY-SA 3.0
Add a two-parameter family of hexagons
Oct 14, 2014 at 22:00 vote accept Joseph O'Rourke
Oct 14, 2014 at 22:00 comment added Joseph O'Rourke This is an exceptionally clever 2-tiling by an irregular pentagon. And I appreciate your lucid explanation and the precisely informative figures. Thanks!
Oct 14, 2014 at 18:04 history answered Noam D. Elkies CC BY-SA 3.0