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ƧƿѦςɛѦਹѤʞ @spacemagick@mastodon.social

Yet another #Numberphile on stupidly big numbers:
https://www.youtube.com/watch?v=Jw_ZPdnHGzg
#maths #mathematics #numbers #Steinhaus #Moser #GrahamsNumber #Knuth
Part 2: https://www.youtube.com/watch?v=ADwK4BgwzP8

MOULE @MOULE@moule.world

Be sure to check your kids' Halloween candy this year! I just found Graham's Number hiding in a chocolate bar.

Picture of a chocolate bar split in half with a visualisation of Graham's Number in between the split pieces. This number is unimaginably huge, but can be understood with Knuth's up-arrow notation, starting with 3 (four up arrows) 3. Simply put, imagine:

3 (one up arrow) 3 = 3 raised to the power of itself, AKA 27.
3 (two up arrows) 3 = 3 raised to the power of itself 3 times, AKA 7,625,597,484,987.
3 (three up arrows) 3 = 3 raised to the power of itself 7,625,597,484,987 times.
3 (four up arrows) 3 = 3 raised to the power of itself 3-raised-to-the-power-of-itself-7,625,597,484,987-times. There are more digits in this number than Planck lengths (smallest physically possible length) in the observable universe.

Let's give 3 (four up arrows) 3 the name "g1". Then imagine g2 has two threes separated by g1 number of arrows. Then imagine g3 has two threes separated by g2 number of arrows. Repeat this operation until you get to g64, which has g63 number of arrows. This is Graham's Number.

#Math #GrahamsNumber #Googology

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