Picture: David Smith, Joseph Samuel Myers, Craig S. Kaplan, Chaim Goodman-Strauss (CC BY-SA 4.0) - Detail
Winter project 2024 - Einstein-Tiling
At the HEGL Christmas party, we want to create as large a pattern as possible using as many self-designed Einstein tiles as possible. Get involved by designing tiles and laying part of the tiling yourself!
In the spring of 2023, D. Smith, J. Myers, C. Kaplan and C. Goodman-Strauss solved a mathematical problem that had been open for decades: Is it possible to tile the plane aperiodically with tiles of just one type, i.e. to cover the plane without gaps and without overlapping so that the pattern never repeats itself, no matter how the tiles are laid. With the release of their "Einstein Tile," the group proved that it is actually possible (although you need the tile and its mirrored version too). In fact, a whole family of Einstein tiles is created by continuously changing the side lengths. The classic version - like the one we have here - is sometimes called the “hat”. More information about the tile, the proof and an animation about the constant deformation of the tiles can be found on the website.
Join us!
We want to create as large an Einstein parquet as possible using many self-designed tiles. We need your help for this, because the more people take part, the bigger and more colorful it gets.
- Take one or more templates from the Einstein tile (the “hat”) and decorate them, paying attention to the orientation! The tip of the hat should be on the left for the green tiles and on the right for the red tiles:
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You can write something mathematical on it (e.g. your favorite math statement), something winter/Christmas-like or just make it pretty. This can be anonymous, but you are also welcome to include your name.
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Give your tile to the HEGL or throw it into the box in front of it. Or bring them with you to the HEGL Christmas party on Monday, December 16th at 3 p.m.!
Empty tiles are available in front of the HEGL lab, at the information pillar on the ground floor or on the notice board in the third floor (next to room 3.301). If they are empty, please let Anna Schilling or Florent Schaffhauser know.
HEGL Christmas Party - Join us!
On Monday, December 16th, 2024, the HEGL Christmas party will take place in HEGL and in the foyer UG from 3 p.m. Everyone is welcome to come by!
Try it yourself and lay a large Einstein parquet with the decorated tiles, it's not that easy. How big can it get?
At the party you can
- tile the plane with the decorated hats,
- fold Bascetta stars,
- play games,
- chat and have fun.