https://github.com/jonaskruckenberg/pisano

Explore interesting Pisano Period visualisations.
https://github.com/jonaskruckenberg/pisano

pisano-period svelte sveltekit tauri-app visualization

Last synced: 6 days ago
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Explore interesting Pisano Period visualisations.

• Host: GitHub
• URL: https://github.com/jonaskruckenberg/pisano
• Owner: JonasKruckenberg
• License: mit
• Created: 2022-08-14T17:39:05.000Z (about 2 years ago)
• Default Branch: main
• Last Pushed: 2024-11-01T01:48:04.000Z (6 days ago)
• Last Synced: 2024-11-01T02:29:32.262Z (6 days ago)
• Topics: pisano-period, svelte, sveltekit, tauri-app, visualization
• Language: Rust
• Homepage:
• Size: 10.4 MB
• Stars: 19
• Watchers: 1
• Forks: 0
• Open Issues: 16
• Metadata Files:
  • Readme: README.md
  • Funding: .github/FUNDING.yml
  • License: LICENSE
  • Code of conduct: CODE_OF_CONDUCT.md

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README

        


  



Pisano



Explore interesting Pisano Period visualisations.



![Screenshot of the app, showing a grid of circular pisano period visualizations](./Screenshot-light.png#gh-light-mode-only)

![Screenshot of the app, showing a grid of circular pisano period visualizations](./Screenshot-dark.png#gh-dark-mode-only)

## 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:



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





  

## 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:

```shell

pnpm dev

```

### Building

To create a production version of your app:

```bash

pnpm build

```

## License

[MIT © Jonas Kruckenberg.](./LICENSE)

[pisano periods]: https://en.wikipedia.org/wiki/Pisano_period

[fibonacci numbers]: https://en.wikipedia.org/wiki/Fibonacci_number

[pnpm]: https://pnpm.io

[sveltekit]: https://kit.svelte.dev/