I don't know if anyone here ever watched Norman Wildberger's YouTube channel,
but he's really relaxed, and does a great job of explaining some interesting
topics.

There's also a very exciting development in mathematics:
He also just came up with a way to solve for the roots of polynomials of any
power, so the quintic and beyond are no longer out of reach.

A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode

https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966


W. F. Pokorny, Cousin Ricky, TOK, and others may be interested in looking over
this work, watching the videos, and playing with the number series and geometric
diagrams.

https://www.youtube.com/@njwildberger


Enjoy!


- BE

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I also found this interesting from a parser perspective:

https://en.wikipedia.org/wiki/Catalan_number

"Re-interpreting the symbol X as an open parenthesis and Y as a close
parenthesis, Cn counts the number of expressions containing n pairs of
parentheses which are correctly matched:
((()))     (()())     (())()     ()(())     ()()()
Cn is the number of different ways n + 1 factors can be completely parenthesized
(or the number of ways of associating n applications of a binary operator, as in
the matrix chain multiplication problem). For n = 3, for example, we have the
following five different parenthesizations of four factors:
((ab)c)d     (a(bc))d     (ab)(cd)     a((bc)d)     a(b(cd))"

(plus lots more interesting stuff in that entry)

- BE

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