Nathan Wray
Vesa TimonenDissecting a mitre. #dissection #mitre
The Mitre Dissection Puzzle: One 4-piece solution and array of 129 5-piece solutions.
https://vesatimonen.github.io/mitre-dissection/
https://vesatimonen.github.io/mitre-dissection/
paulamazing
Mark Dominus@vesatimonen Wonderful! How did you find this dissection?
@mjd I made a software to solve these dissection problems and this mitre-puzzle was first one I tested it with.
Amir Livne Bar-on@vesatimonen @mjd can it also find solutions without reflections?
@vesatimonen amazing! Can you explain how it works?
@mjd I'm about to write a github-page about internals of the software. Will post it here, when ready.
Tom Hayward@vesatimonen congratulations! How far off is the "not a square" non-solution and when was it discovered that it's not a square?
@hattom Henry Dudeney published his 5-piece solution in 1911 and at the same time pointed out that Sam Loyd's solution was faulty.
On this page there is a nice history (translate to english works):
https://mp.weixin.qq.com/s/Kb_oBJUdloy09loHT3cdqQ
On this page there is a nice history (translate to english works):
https://mp.weixin.qq.com/s/Kb_oBJUdloy09loHT3cdqQ
@vesatimonen many thanks!
Sycom@vesatimonen
And the most elegant thing about this solution is that it does not completely contradict Henry Dudeney : you have to flip the green piece over to make it work.
So there is still no 4 pieces solution without this flip ? Unless your software has one of course...
And the most elegant thing about this solution is that it does not completely contradict Henry Dudeney : you have to flip the green piece over to make it work.
So there is still no 4 pieces solution without this flip ? Unless your software has one of course...
Ysegrim
Alex@vesatimonen that's so cool! You cracked something that went unsolved for over a 100 years!
That's metal af.
That's metal af.
RevK 
@vesatimonen the only thing I would not have realised is that you can turn over one of the pieces… clever stuff though.
coldclimate@vesatimonen amazing stuff! Well done, and thank you for sharing
Peder Bergebakken Sundt@vesatimonen it seems the four piece solution flips a piece.
Colin the Mathmo@pbsds Classical dissection problems permit reflections of pieces ... this is a completely valid solution
So the next problem/question is whether there is a solution that does not have any reflections.
CC: @vesatimonen
cek@vesatimonen Does it make sense to try cutting in a non-straight line?
Jeff Cutsinger@vesatimonen Clever and well done! Bet you could get on Numberphile if you wanted.
wirehead@vesatimonen CUT MY MITRE INTO PIECES / THIS IS MY FOUR PIECE CUT
groff 🇺🇦@vesatimonen The Mitre Square puzzle? Sam Lloyd implicating himself as Jack the Ripper?
privvcy@vesatimonen
Marvelous!
And you got to "have all the bishops harmonize these lines" (Jethro Tull, 1971, Wind Up)
Lux 
@vesatimonen I was going to tag @mickaellaunay until I saw who put it in my feed 😭
bartholin (war, war never changes arc)
anomalon 
This solution requires "flipping" the green piece so that what is its "back" on the left is "front" on the right.
KeybladeSpirit 🏳️⚧️ 