25 Extraordinary Math Principles To Challenge Your Brain

Math is crazy. While the basics are pretty simple, the philosophy behind some of those very simple fundamentals can be quite profound…and even bewildering. Today we’re going to look at everything from prime numbers to infinity. So get ready because these are 25 Extraordinary Math Principles To Challenge Your Brain!



clockSource: reddit.com

There are exactly 10! seconds in 6 weeks. It’s easier to see this when you break it down as such: 6 * 7 * 24 * 60 * 60 = 6 * 7 * (8 * 3) * (3 * 2 * 10) * (1 * 3 * 4 * 5) = 6 * 7 * 8 * 9 * 2 * 10 * 1 * 3 * 4 * 5 = 10!


Graham's number

black holeSource: ibmathresources.com, Image: https://pixabay.com (public domain)

Graham’s number is so big that if you wrote every digit as small as you possibly could, it would still take up more space than is available in the observable universe. In fact, if you could hold all of the digits in your head your brain would collapse into a black hole (due to the astronomical density of neural connections you would require).


Repeating decimals

repeatingImage: https://pixabay.com (public domain)

Any repeating decimal can be written as a fraction over an equivalent number of 9’s (as the repeating part). For example, .456456456… would be 456/999


Shuffling cards

cardsSource: qi.com, Image: https://www.pexels.com (public domain)

Every time you randomly shuffle a deck of 52 cards, you have almost certainly arranged them in an completely unique order. What we mean by this is that in the entire history of mankind, nobody has ever shuffled a deck in the same way. How? Well, there are 52! ways that you can order the deck (52*51*50…) This leads to 8.0658 x 10^67 possibilities. In comparison, the universe is only 1 x 10^18 seconds old. Even if you shuffled one deck every second since the big bang…you’d still fall miserably short.


The Klein Bottle

klein bottleSource: math.union.edu

If you take two Möbius strips and extend the edges so that they connect (in effect glueing them together), you create a Klein Bottle. This “bottle” is an example of a non-orientable surface. Basically, it exists only in 4 dimensions, but can be loosely represented in 3. Like the Möbius strip, it has only 1 surface, but no edges. It’s pretty trippy.

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