Archive

Archive for June, 2014

Escher Math

https://i2.wp.com/upload.wikimedia.org/wikipedia/en/a/a3/Escher%27s_Relativity.jpg

Escher Relativity

You’ve all seen these Escher drawings that seem to make sense locally but from a global, larger scale, do not – or ones that are just downright strange. We’ll it’s still creative art and it’s fun looking at them. They make you think in ways you probably didn’t. That’s Art!

Now I’ve been thinking if you can have similar things in math (or even physics). How about Escher math or Escher algebra?

Here’s a simple one I came up with, and see if you can ‘figure’ it out! ūüėČ

(5 + {4 – 7)2 + 5}3.

LOL! ūüôā

How about Escher Logic!? Wonder what that would be like. Is it associative / commutative? Escher proof?

Okay, so now … what’s your Escher?

Have a great day!

 

 

Advertisements

Richard Feynman on Erwin Schr√∂dinger

I thought it is interesting to see what the great Nobel Laureate physicist Richard Feynman said about Erwin Schr√∂dinger’s attempts to discover the famous Schr√∂dinger equation in quantum mechanics (see quote below). It has been my experience in reading physics that this sort of “heuristic” reasoning is part of doing physics. It is a very creative (sometimes not logical!) art with mathematics in attempting to understand the physical world. Dirac did it too when he obtained his Dirac equation for the electron by pretending he could take the square root of the Klein-Gordon operator (which is second order in time). Creativity is a very big part of physics.

 

“When Schr√∂dinger first wrote it down [his equation],
he gave a kind of derivation based on some heuristic
arguments and some brilliant intuitive guesses. Some
of the arguments he used were even false, but that does
not matter; the only important thing is that the ultimate
equation gives a correct description of nature.”
¬†¬†¬†¬†¬†¬†¬†¬† ¬†¬†¬†¬†¬†¬†¬†¬† ¬†¬†¬†¬†¬†¬†¬†¬† ¬†¬†¬†¬†¬†¬†¬†¬† — Richard P. Feynman
(Source: The Feynman Lectures on Physics, Vol. III, Chapter 16, 1965.)