This train of thought naturally led me to start thinking about hyperoperations, https://en.wikipedia.org/wiki/Hyperoperation. For data visualization I like making log plots. Is there a similar kind of plot based on inverse tetration instead of inverse exponentiation? I think it might be useful for visualizing really large numbers, perhaps from something like combinatorics.
#hyperoperations
#tetration
Hyperoperation - Wikipedia

#Hyperoperations | Exponentiation | Tetration | Powertowers | Pentation

https://www.youtube.com/watch?v=UoTaQt1yWHU

#math

Hyperoperations | Exponentiation | Tetration | Powertowers | Pentation

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In mathematics, tetration is an operation based on iterated, or repeated, exponentiation. By using operations such as tetration, pentation or hexation we can create enormous numbers. Graham’s number is one of the most famous big numbers, but there are many even bigger numbers.

Numbers too big to imagine

#Arithmetic #hexation #HigherArithmetic #hyperoperation #HyperoperationTheory #hyperoperations #Math #Mathematics #nowWatching #pentation #tetration #YouTube

Numbers too big to imagine

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Can't believe I just found the #tetration button on my keyboard!

#math #hyperoperations

@irenes @PetraOleum One thing that falls at the intersection of both mathematics and programming us #AckermannFunctions. And from there, I discovered the recursive definitions of addition as repeated increments, multiplication as repeated addition, powers as repeated multiplication, etc. In highschool, I independently mapped out a whole recursive theory of arithmetic, building up from Peano's axioms, while other kids were out drinking and partying and making friends. Then in college, I learned that someone had already done the work, and it was called #HyperOperations. (This made me sad that I wasn't first, but glad that I wasn't alone.)

Cool trivia: 2 o 2 = 4 is always true, for any operation o in the entire infinite hierarchy from addition up.