Great stuff! ]]>

(PS I am David Michael Roberts, not David P Roberts, one of the authors of said paper)

]]>It seemed impossible to you that a woman win the Fields Medal.You know Maryam survived of a car accident about 20 years ago and just 3 years ago won the Fields and you can imagine if Fields committee decided to asign Fields medal just 4 years later that was not possible.My suggestion is’Froget about the age (40 years old) for Fields Medal and let people have more hope to win this medal.Then you can see that is possible that people from different countries,different gender and diffrent domain of mathematics can win the Fields medal.’ FORTHY was a good number for up to 20 years ago,now if you respect to see real progress in mathematics you should let people to arrive to the frontiers of mathematics and then do zomething really valuable.Now Forthy is just a wall.break it please. It is not a universal rule.change the axioms and reconstruct a new era. ]]>

shouldn’t it be “…if it is NOT invariant…” or am I confused?

]]>“just last year, as reported on this blog by Evelyn Lamb, another pentagonal tiling was found”

The Bothel pentagon was a little further back, in 2015. See my October 2015 Scientific American blog called ‘Martin Gardner at 101 (“It’s as not-so-easy as 3, 4, 5”)’

]]>“just last year, as reported on this blog by Evelyn Lamb, another pentagonal tiling was found”

The Bothel pentagon was a little further back, in 2015: https://blogs.scientificamerican.com/guest-blog/martin-gardner-at-101-it-s-as-not-so-easy-as-3-4-5/

]]>That can’t be the correct statement of what he proved, because here is an isosceles triangle that admits an aperiodic tiling:

http://www.algorithmic-worlds.net/blog/20100130-radialtiling.jpg

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