With only five points and < 180 degrees at each intersection, couldn't this problem have been solved by a computer via brute force in seconds?
“We discovered the tile using using a computer to exhaustively search through a large but finite set of possibilities,” said Casey. “We were of course very excited and a bit surprised to find the new type of pentagon.
I would expect it to take longer than seconds, since there are many ways that these shapes can fit together, and there are many possible edge lengths.
>“We discovered the tile using using a computer to exhaustively search through a large but finite set of possibilities,” said Casey. “We were of course very excited and a bit surprised to find the new type of pentagon.