Catch up on stories from the past week (and beyond) at the Slashdot story archive

 



Forgot your password?
typodupeerror

Slashdot videos: Now with more Slashdot!

  • View

  • Discuss

  • Share

We've improved Slashdot's video section; now you can view our video interviews, product close-ups and site visits with all the usual Slashdot options to comment, share, etc. No more walled garden! It's a work in progress -- we hope you'll check it out (Learn more about the recent updates).

×
Science

+ - First Aperiodic Tiling With A Single Shape->

Submitted by KentuckyFC
KentuckyFC (1144503) writes "The einstein problem (from ein meaning one and stein meaning tile) is to find a single tile that can cover a 2D plane in a nonrepeating pattern. An answer has eluded some of the world's greatest mathematicians. In 1962, the first nonrepeating tiling was discovered but it required 20,426 shapes. This was later reduced by Roger Penrose who found a way to do it with two shapes: a kite and a dart. Now a pair of mathematicians have discovered the first aperiodic tiling using a single shape. Their solution is a modified hexagon with a 3D shape that determines how the tiles slot together."
Link to Original Source
This discussion was created for logged-in users only, but now has been archived. No new comments can be posted.

First Aperiodic Tiling With A Single Shape

Comments Filter:

"I may kid around about drugs, but really, I take them seriously." - Doctor Graper

Working...