Pisano

Explore interesting Pisano Period visualisations.

About

Pisano lets you explore different visualizations of Pisano periods, repeating integer sequences closes related to Fibonacci numbers.

Pisano Periods are integer sequences derived by taking other integer sequences modulo some constant ( $n$ ). For the Fibonacci numbers ( $0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368$ ) and modulo $n = 3$ the corresponding pisano period starts like this:

$$ 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, $$

If you then take $n$ equally spaced points on a circle a draw lines between them according to the pisano period you get this visualisation:

Disclaimer

I made this while I was supposed to work on a talk. This is a procrastination project! There is much work left here, including bug fixes, adding new sequences, adding new visualizations etc. but let's hope for my talk's sake I will not implement these features! If you are interested in adding these, feel free to open a PR and I will be happy to merge it!

Contributing

This project uses pnpm as its package manager and sveltekit as its frontend framework.

Developing

Once you have installed the dependencies with pnpm install you can start the app in development mode:

pnpm dev

Building

To create a production version of your app:

pnpm build

License

MIT © Jonas Kruckenberg.