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UntitledHatt
— Equal Knuth Sandwich Countdown Towers example FIX
#exponent
#math
#numbers
#knuth
#numberphile
#arrow
Published:
2023-05-02 21:11:40 +0000 UTC
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Description
The amount of Knuth arrows in each exponent is the number sandwiching each of the arrows in the exponent.
The bigger number is on the right.
I'll call it an "Equal Knuth Sandwich Countdown Tower (EKSCT)".
I refer to these as "countdown towers" because the exponents closer to the top count further down number-wise until (1↑1).
example 1: EKSCT(5) = (5↑↑↑↑↑5)^(4↑↑↑↑4)^(3↑↑↑3)^(2↑↑2)^(1↑1)
example 2: EKSCT(16,777,216) = (16,777,216↑↑↑...[16,777,216 arrows]...↑↑↑16,777,216)^...^(5↑↑↑↑↑5)^(4↑↑↑↑4)^(3↑↑↑3)^(2↑↑2)^(1↑1) {way too big}
Equal Knuth Sandwich Function:
Equal Knuth Sandwich Function by UntitledHatt on DeviantArt
Countdown (Power) Tower Function (similar to the towers presented):
Countdown Tower Function by UntitledHatt on DeviantArt
[get your hands on this, Numberphile!
Numberphile - YouTube
]
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