Uploaded September 2025 | Updated September 2026, 2 weeks ago

Ratios of successive Fibonacci numbers approximate the Golden ratio and the approximations get better as the index increases.

Faulhaber Formulas via Summation by Parts (Visually)

Two Infinite Series Sums from Regular Polygons (visual proof)

Ulam Spiral (primes in a 450 x 450 grid)!

$Lévy C: Copy; Rotate 90; shift new start to old end Lévy C: Copy; Rotate 90; shift new start to old end In this video, we show how to generate a fractal curve known as the Lévy C curve or Lévy Dragon by repeatedly copying, rotating and shifting, starting with a line segment. What happens if you do something similar with different rotations or different shifts? If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! Check out these videos for related constructions: https://youtu.be/rLxx6b-oJGo https://youtu.be/NBI_5GdvqUo This animation was inspired by an article written by Larry Riddle that appeared in the the November 2016 issue of Math Horizons: https://doi.org/10.4169/mathhorizons.24.2.18 See more here (https://larryriddle.agnesscott.org/symmetricfractals.pdf) and on his website: https://larryriddle.agnesscott.org/ifs/levy/levy.htm #levy #levydragon #math #manim #animation #fractals To learn more about animating with manim, check out: https://manim.community$

Continuous everywhere but differentiable nowhere : Weierstrass Function Visualization!

Mathematical Visual Proofs |