Something that I drew representing a #woven binary tree (from four years ago).

#BinaryTree

And something slightly disturbing that predated it by many years 😁

The woven #BinaryTree progressed into this.

#mathart

These ideas eventually worked their way into a #woven #BinaryTree representation of #PascalsTriangle.

#mathart

Splitting a #PascalsTriangle #BinaryTree into two copies.

#mathart

I compiled these ideas into a Twitter moment

#PascalsTriangle

https://twitter.com/i/moments/992234400715862016

EDIT: sadly, the Twitter Moments stopped working quite a while ago. Some of the information, pictures and videos have been put in this thread.

Unravelling Pascal's Triangle

An exploration of ways to depict Pascal's Triangle using intertwined strands of 1's. #pascalstriangle #mathart #woven

Twitter
Unravelling Pascal’s Triangle (June 15, 2019)

Vimeo

Here is a clip to do with the #PascalsTriangle #BinaryTree shown as individual paths layered together

#mathart

And another clip of a representation of a #PascalsTriangle #BinaryTree

#mathart

A radial #binaryTree

Tweeted 4 year ago with this comment: ā€œOne thing that came out of this question is...a radial #binarytree. I think that @inversed_ru did something similar a while back in a different context. I may map this onto a cone, put it in a 3d modling program, intertwine branches...or...or...something #mathart #geometricartā€. Note that the user name corresponds to Twitter, not Mastodon.

Some stuff that led to me thinking about a relationship between #PascalsTriangle and #binaryTrees.

It seems to have started with me trying to represent Pascal’s triangle using things like #crochet, #macrame, #braiding and #knitting.

#mathart #mathsart #binaryTree