The Secret Identity Of Pascal's Triangle Revealed (!)

The odd numbers from Pascal's triangle, marked in white. Music, Stolen Thunder by Craig McConnell.
#shorts
#pascalstriangle
#sierpinskitriangle
#pascalsierpinski
#fractals
#mathstutorbirmingham
I made this video many years ago in Microsoft Paint! I should really have a think about how to code something similar in R :-))
Birmingham Maths Tutor:
birminghammaths.wordpress.com/
My Links:
linktr.ee/tobylangford
I’m a maths tutor based in Birmingham, UK. I specialise in GCSE and A-Level maths including further maths.

[@MrAli683]

Sierpinski's Mixtape ft. Lil' Pascal

[@williamgarskeiii2069]

1 minute and 2 seconds = 15 hours of hard work to create this video = maddddd RESPECT!! 👍

[@Bangford]

Thank you William, I really appreciate it! The mad respect made my day.

[@creativity66699]

We wanna go highir

[@weirdmusictheory7276]

Very awesome👌👍

[@Bangford]

Thank you Abdalla!

[@operazionetrasparenza5297]

Thank you for this masterpiece of conciseness....

[@Bangford]

Wow Fabio! Thank you very much :-)

[@creativity66699]

Pls go higher

[@endthisnonsense7202]

I spent hours while bored at schoul making these triangles with large and small dots for odd/even numbered cells, as large as I could...

[@ARTDOBODE]

PERFECT

[@Bangford]

Thank you :-))

[@murderousmaths]

Love it!

[@samuelgalipo8468]

SICK BEATS DOE

[@Bangford]

Thank you Samuel, I appreciate it. Stolen Thunder. Really surprised I haven't had a copyright claim for this yet. Maybe I have.

[@markhughes7927]

You missed a bit!
Read sideways the numbers read as a number (1; 121; 13631) are powers of 11 starting 0,1,2,3,4 etc but needing to carry 1 in every sixth position.

[@Bangford]

Thank you Mark, that's really cool! Also, someone once mentioned that the Fibonacci numbers are in here somewhere, but I can never remember which way round you have to look at it.

[@orki974]

Amazing!

[@Bangford]

Thank you!

[@natebeattie8945]

This is awesome ty

[@Bangford]

Thank you! I couldn't believe it when I read about this.

[@TylerMatthewHarris]

this is great!

[@Bangford]

Thank you!

[@charlescunningham1872]

groovy music

[@SquareRootOfNegativeOne]

That is amazing!!! check out what stumbled upon...Sierpiński Triangle

[@amarprabhu1011]

Can I get the source code to do this on OpenGL?

[@Bangford]

+Amar Prabhu Hi there, thank you for your question. This was animated by hand using Movie Maker. Would be nice to write some code which does this... Kind regards, Toby.

[@HL-iw1du]

fam

[@thewestrailway]

Formula?

[@Bangford]

The top row of Pascal's Triangle is a 1. The second row is 1, 1. All rows have a 1 at each end. Where a number appears between two numbers on the row above, you add those two numbers.
1
1 1
1 2 1
1 3 3 1
and so on. Now colour the odd numbers white and the even numbers black. There are other ways to make the Sierpinski triangle. You can do it with three points and a random number generator.
I made a video about this:
czcams.com/video/kX_q21_hq0Y/video.html

[@thewestrailway]

@@Bangford umm ok?

[@elnino5843]

haha double bass

[@Bangford]

Haha, good call!