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Terrific Toothpick Patterns - Numberphile | Fundamental Theorem Of Algebra - Numberphile - At Up-Tube.com

Terrific Toothpick Patterns - Numberphile Fundamental Theorem of Algebra - Numberphile 8 months ago   16:07

Numberphile
Fun with toothpicks. Featuring Neil Sloane.
More links & stuff in full description below ↓↓↓

Neil Sloane is the founder of the On-Line Encyclopedia of Integer Sequences: https://oeis.org

Play with the toothpick simulator: http://oeis.org/A139250/a139250.anim.html

The Toothpick Sequence and Other Sequences from Cellular Automata by David Applegate, Omar E. Pol, and N. J. A. Sloane: https://arxiv.org/abs/1004.3036

Conway on Game of Life: https://up-tube.com/upvideo/R8xHWY04RYN
Monty Hall for dunmmies: https://up-tube.com/upvideo/7h6xSyJMBJt

Buffon's Matches: https://up-tube.com/upvideo/fWIviwhZsJN

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Comments 624 Comments

Nathan Roberts
im interested to the max
Mhammed Tomy
Its an art
Sean Moran
is this the same mathematician that invented the cupcake?
AnkhAnanku
First one looks like a frank-lloyd-wright window-screen. Reminded me of the guy who did the “dragon’s curve” as a tiled wall decoration...
JESSEverything
This guy is the ASMR of Math.
Cooper Gates
Many of those look nice when N is of the form 2^k - 3, such as 61, 125, or 253.

Do you like any of the automatons that operate on triangular cells?
Max Baker
This is for old people
Max Baker
Love math
Christopher Perez
I love this channel and I love how enthusiastic mathematician are on here
Roger Vizion
Just some simple rules and after a while beauty comes to us ! Amazing world !
Nothing\
Watching this video, my first thought is what kind of toothpicks only have one pointy end... My second thought is "damn this ADHD"
Gino H
If you run this simulation in 3D, would it become a perfect cube on each power of 2?
Radiated Leader
I bet this guy is a boss at chess
Ian Cedric Domingo
Hey KPOP nerdy fans!
When you do it in the E Toothpick, it kind of looks like the EXO logo
Kameron Briggs
The E toothpick problem is unsolved?
Quinlan Hall
My brain hurts
gloodgy
Is this loss?
Hassan Abedi
Beautiful!
OpenGL4ever
When i was in primary school, i always wondered, what will happen or how will it look, when you add to the ends of a line another orthogonal line and do this n times to the new lines. I didn't knew, that this algorithm was called toothpicks or had something to do with toothpicks, i only thought about lines, but thank you very much, that you finally gave me an answer to my question i always had.
Sadly i wasn't interested enough in my primary school time to work it out on my own. When i tried, i lost interest too soon. I only had pen and paper at that time an no computer. But later in high school i thought about solving it with the help of a computer by writing a program that showed it to me, but other things came into my interest and so i didn't put time into it and thus no such program was written by me.
So thank you again for finally solving it.
Chaz Byrne
Has anyone considered making one of these rotate by placing the toothpicks at different fractions mod some n?
Add Reply

Fundamental Theorem of Algebra - Numberphile Terrific Toothpick Patterns - Numberphile 8 months ago   15:26

Part one on odd polynomials: https://up-tube.com/upvideo/8y-Yn9URHVH
More links & stuff in full description below ↓↓↓

A nice extra bit about complex numbers: https://up-tube.com/upvideo/-VWhdE6am_D
Professor David Eisenbud is an algebraic geometer (and director of the Mathematical Sciences Research Institute at Berkeley)

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