This Is...Complex @BriTheMathGuy

Uploaded October 2024 | Updated September 2026, 1 week ago

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

Whats One-Half Factorial? (And Why Is Pi There?)

$Finite Area, Infinite Edge: The Koch Snowflake The Koch snowflake fits inside a tiny circle, so its area is finite - but its edge is infinitely long. Every construction step swaps each segment for 4 pieces that are 1/3 as long, multiplying the perimeter by 4/3 forever, so the perimeter blows up. The area does not: each step glues on 4 times as many bumps at 1/9 the area, and because 4/9 is less than 1, that makes a geometric series that settles at exactly 8/5 of the starting triangle. Same process, two ratios - one above 1, one below it. The edge is so crinkly it sits between a line and a plane, with dimension log(4)/log(3), about 1.26. That is what makes it a fractal. This video was partially created using Manim. Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. #shorts #fractals #brithemathguy$