Hello to all my fellow Steemians! You may not know this about me, but I am a huge mathematics nerd. Seriously, I watch Youtube videos on advanced math concepts for a few hours each day for fun. Today, I would like to share with you what I think (and what many other mathematicians think) is the most beautiful and elegant concept in all of mathematics: Euler's Identity. This is my third achievement post under @cmp2020's program in the Steem Greet community.

The Identity

In its simplest terms, Euler's Identity (also known as Euler's Equation) is this equality statement:
(e^iπ)+1=0

The Mathematical Beauty

For my non-mathematics enthusiasts out there, I am sure you are wondering, "Why do I care? What makes this so beautiful?" The amazing thing about Euler's Identity is that it combines five famous numbers in mathematics in a very unexpected way. e is known as Euler's number and is the natural base. i, an imaginary number, is the square root of -1. π is

"the the ratio of the circumference of a circle to its diameter."

1 is known as the multiplicative identity because you can multiply any number by 1 without changing the original number you are multiplying 1 with. Similarly, 0 is known as the additive identity because you can add 0 to any number and still get the original number.

My source for this section is the Wikipedia page titled Euler's identity

The Visual Beauty

For my more aesthetic and artistic people out there, here is an animation of Euler's Identity that was created by Wikipedia user Sbyrnes321 using Wolfram's Mathematica computer program:

Conclusion

This is not meant to be an expansive, in-depth post or proof of Euler's Identity, but I just wanted to take a moment to highlight its mathematical significance and beauty. Thank you for reading this post. I hope I demonstrated my ability to use proper Steemit etiquette.