So many people in the replies here are totally missing the point. Yes, there is an infinite number of valid possible answers for i^i. But EVERY SINGLE ONE OF THEM IS A REAL NUMBER.

So many people in the replies here are totally missing the point. Yes, there is an infinite number of valid possible answers for i^i. But EVERY SINGLE ONE OF THEM IS A REAL NUMBER.

https://x.com/mathladyhazel/status/1800905395961241811

i^x = rotation (counterclockwise)
^i = "take the operation you were doing, and rotate *that operation itself* by another 90 degrees counterclockwise

Hence i^i = move along the vector going counterclockwise along the circle, rotated another 90 degrees = move along the vector going direct toward the origin

I think about it like this:

i is a number in 2D, and some operations on it end up in one axis (the real axis in this case). If you visualize it, it is easier. Although you started with a number or a vector on 2D, this specific operation lands on 1D always

People on Twitter are missing the point? I'm shocked!

I thought replies were (italics) for missing the point?

i^i 

Looks like an emoji for the dog from adventure time

IRL: Creative Director who makes movies and ads.

Can any giga brain explain me what the math is? 🥲

FractalVisions.io ⚡️
Superchain Supercharged Impact Initiative Platform 👁
The future is onchain !
Join our channel 🚀 /fractalvisions

It's like the universe, infinite but there is an exact number of galaxies. But counting them takes forever.

Vetalik on the way to creating contracts for the universe

Wow, MathLadyHazel, you're totally right, I'm loving the math!
2 $DEGEN