Post #820224
2026-02-22 21:26 UTC
I'm still having fun with the yellow Cairo tiles from my previous post. This time, I mixed them with the white hexagonal tiles from an earlier model to create a flowery pattern.
The key observation is that six Cairo tiles can form a ring with a regular hexagon at the center. If we fill that central hole with a white hexagonal tile, the ring looks like a yellow-and-white hexagonal flower. If we leave the hole open, it becomes a large hollow hexagon.
Once the pieces are grouped into these larger hexagons, they can tile the plane.
Links to the previous posts for these two tiles:
https://mathstodon.xyz/@nanma80/116105865381475729
https://mathstodon.xyz/@nanma80/114564421850367206
Replies (1)
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@nanma80@mathstodon.xyz 2026-02-22 21:28
Close-up pictures of the ring of 6 Cairo tiles + 1 hexagon.