Performance Management Blog

Beautiful Math – Euler's Law and Square Wheels

This post is a little off the beaten path for the blog but I thought that this article was really pretty interesting and easy to understand. I like it because of how cleanly and simply it explains some really complicated but elegant math.

Like my Square Wheels theme, I really like things that are simple and elegant and this little equation:

e + 1 = 0
e to the i times pi plus 1 = zero)

is pretty amazing, as well as very common in the world as we know it!

It is an equation about numbers, constants “pi” and “e” — you can remember the latter from Einstein’s famous equation. Both are transcendental in that they are infinite quantities when expressed in decimal form. You will know pi from the simple math about circles, though. “e” is about compound interest, Moore’s Law and everything that moves about and accelerates.

Leonard Euler figured this out in 1748. Basically, pi and e are connected in a dimension perpendicular to the world, a place that is measured in units of i (the square root of -1, an imaginary number which actually does not exist. But its expression in visual forms is amazing:


Check out this article by Lee Simmons for a more detailed explanation and some more graphic representations of how this simple equation explains so much about the world of math and physics and our understanding of how things really work. Beautiful stuff, for sure, like my Square Wheels representations of how things really work:

Square Wheels represent how organizations really work - by Scott Simmerman

In Square Wheels, things will just roll on and on and on and on unless someone takes the time to stop the wagon and look for opportunities for improvement and change the math. The round wheels already exist…

Euler’s Law and Square Wheels roll on,

For the FUN of It!

Dr. Scott SimmermanDr. Scott Simmerman is a designer of team building games and organization improvement tools. Managing Partner of Performance Management Company since 1984, he is an experienced presenter and consultant.

Connect with Scott on Google+ – you can reach Scott at

Follow Scott’s posts on Pinterest:
Scott’s quips and quotes on Poems on The Workplace is here.

Square Wheels are a trademark of Performance Management Company
LEGO® is a trademark of The LEGO Group



Pi goes on to infinity. A few digits are here and you can find it out to one million numbers at this website. Infinity is SO large that, when letters are expressed as digital numbers (a = 1, b = 2, etc.), you can find the entire contents of War and Peace expressed digitally in sequence within its string of numbers. In fact, infinity is SO large that you can find the contents of War and Peace along with all of my blog posts in sequence. It is an unimaginably large number…





Dr. Scott Simmerman

Dr. Scott Simmerman is a designer of team building games and organization improvement tools. Managing Partner of Performance Management Company since 1984, he is an experienced presenter and consultant, earning CPT and CPF credentials. -- You can reach Scott at and a detailed profile is here: -- Scott is the original designer of The Search for The Lost Dutchman's Gold Mine teambuilding game and the Square Wheels® images for organizational development.

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