Mastodawn

The mathematics of the Fast Inverse Square Root: Bit shifting and Newton's Method

The "Fast Inverse Square Root" algorithm from 1990s computer science is a fascinating example of applying pure mathematics to bypass hardware limitations. I created a video visualization of the math here: https://www.youtube.com/watch?v=nO-Plj0KcIw

#Mathematics #ComputerScience #Optimization #Programming

The Bizarre Math Trick That Saved 90s Video Games | Fast Inverse Square Root

YouTube

Luminous Math Mar 2

Luminous Math Feb 25

I made an animation to show the intuition behind Prince Rupert's Cube using Manim library.

Link: https://youtu.be/75Bvw3o9Dac?si=OnEM_z-GTlB1BQ5D

#Math #Mathstodon #Geometry #Manim #Python #MathAnimation #VisualMath #SciComm #Mathematics

The Geometrically Impossible Hole (Prince Rupert's Cube)

YouTube

Luminous Math Mar 2

Luminous Math Feb 27

Parrondo's Paradox: How combining two LOSING games actually makes you WIN

Link: https://youtu.be/H-AKNPb5wmw?si=qcg-CYJvEhnTEG9K

#ParrondosParadox #MathVisualized #GameTheory #Manim #Probability #Mathematics

Why This Losing Strategy Actually Wins? Parrondo's Paradox

YouTube

Luminous Math Mar 2

Why does it only take 23 people in a room to have a 50/50 chance of a shared birthday? It feels intuitive that you would need 183 people (half of 365), but intuition fails when exponential growth is involved.

Link to video here: https://youtu.be/TRPenRtbHSI?si=THZYIpaJFabBZpyB

#Math #Mathematics #Probability #Paradox #Manim #MathVisualized

Why 23 People = 50% Chance? The Birthday Paradox Visualized

YouTube

Luminous Math Mar 2

Why does it only take 23 people in a room to have a 50/50 chance of a shared birthday? It feels intuitive that you would need 183 people (half of 365), but intuition fails when exponential growth is involved.

Link to video here: https://youtu.be/TRPenRtbHSI?si=THZYIpaJFabBZpyB

#Math #Mathematics #Probability #Paradox #Manim #MathVisualized