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The History of Chess Geometry

Also of related note, and more important to modern engineering and science is Principle of Least Action (Maupertuis's principle). Modern 'Predictive Processing' and Active Inference (arguably all modern physics based on conservation laws) are based on the Principle of Least Action, also dating to Ancient Greece, Euclid and Hero of Alexandria related to the law of refraction

Also of related note, and more important to modern engineering and science is Principle of Least Action (Maupertuis's principle). Modern 'Predictive Processing' and Active Inference (arguably all modern physics based on conservation laws) are based on the Principle of Least Action, also dating to Ancient Greece, Euclid and Hero of Alexandria related to the law of refraction

@DIAChessClubStudies said ^

Also of related note, and more important to modern engineering and science is Principle of Least Action (Maupertuis's principle). Modern 'Predictive Processing' and Active Inference (arguably all modern physics based on conservation laws) are based on the Principle of Least Action, also dating to Ancient Greece, Euclid and Hero of Alexandria related to the law of refraction

Hmm. Thanks for the reference. I'll delve into these subjects.

@DIAChessClubStudies said [^](/forum/redirect/post/ZyEEgO9C) > Also of related note, and more important to modern engineering and science is Principle of Least Action (Maupertuis's principle). Modern 'Predictive Processing' and Active Inference (arguably all modern physics based on conservation laws) are based on the Principle of Least Action, also dating to Ancient Greece, Euclid and Hero of Alexandria related to the law of refraction Hmm. Thanks for the reference. I'll delve into these subjects.

I have a fear of geometry now... Thanks!

I have a fear of geometry now... Thanks!

This was really interesting to me but I'll have to read it again to find out if I've understood it. Euclid's axioms are valid in plane geometry but the 5th is not valid on a curved surface, such as a sphere. This has been known for aeons. What is also true is that a point or a line cannot validly drawn in the physical universe. The marks have some dimension. Try drawing a line in pencil, according to the strict definition of a line. It can't be done.
The more I read about Chess, the more I'm impressed by the genius of its inventors. R.

This was really interesting to me but I'll have to read it again to find out if I've understood it. Euclid's axioms are valid in plane geometry but the 5th is not valid on a curved surface, such as a sphere. This has been known for aeons. What is also true is that a point or a line cannot validly drawn in the physical universe. The marks have some dimension. Try drawing a line in pencil, according to the strict definition of a line. It can't be done. The more I read about Chess, the more I'm impressed by the genius of its inventors. R.

Great article for physics and Mathematics Lovers

Great article for physics and Mathematics Lovers

um, could you simplify the math?

um, could you simplify the math?