Juggling-ball pyramids and a Christmas song

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One of many identities within Pascal’s triangle goes, I recently learnt, by the name of The Hockey-Stick Identity, or sometimes The Christmas Stocking Identity. It tied together two situations which on the face of it are not at all related — a juggling show, and the song The Twelve Days of Christmas. It’s now May, so this post is not as seasonal as it might have been, but nonetheless here it is.

Juggler Domenyk La Terra standing next to two pyramids of juggling balls, each pyramid atop a pillar.
Image: Domenyk La Terra

The write-up

The full write-up is hosted on GitHub here and includes an exciting interactive dragging sliding thing for the Twelve Days of Christmas!

Colophon

The source for the above-linked write-up is a mixture of markdown, raw HTML, and raw JavaScript. I used pandoc to convert the markdown to HTML, with styling provided by Benjamin Woodruff’s Pan Am (under a permissive licence) and tweaked slightly.