After 30 years since the last was found, a new convex pentagonal tiling is discovered!
After 30 years since the last was found, a new convex pentagonal tiling is discovered!
Originally shared by David Eppstein
A complete description of the convex pentagons that tile the plane is still unknown (see https://en.wikipedia.org/wiki/Pentagon_tiling). It caused a sensation in the mid-1970s when housewife Marjorie Rice, inspired by Martin Gardner's columns, found several more, and since 1985 the number of known tiling types has stood at 14. But not any more: Casey Mann, Jennifer McLoud, and David von Derau, all of the University of Washington Bothell, have found a 15th type, shown below.
For a brief announcement, including what looks like a screenshot of a brief writeup by the authors (that I can't find directly), see https://twitter.com/gelada/status/626810879435083776
The image below is from http://www.jaapsch.net/tilings/, an applet for manipulating various tilings including these ones.
http://www.jaapsch.net/tilings/images/large/P5-type15.png
Originally shared by David Eppstein
A complete description of the convex pentagons that tile the plane is still unknown (see https://en.wikipedia.org/wiki/Pentagon_tiling). It caused a sensation in the mid-1970s when housewife Marjorie Rice, inspired by Martin Gardner's columns, found several more, and since 1985 the number of known tiling types has stood at 14. But not any more: Casey Mann, Jennifer McLoud, and David von Derau, all of the University of Washington Bothell, have found a 15th type, shown below.
For a brief announcement, including what looks like a screenshot of a brief writeup by the authors (that I can't find directly), see https://twitter.com/gelada/status/626810879435083776
The image below is from http://www.jaapsch.net/tilings/, an applet for manipulating various tilings including these ones.
http://www.jaapsch.net/tilings/images/large/P5-type15.png
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