# 
[](https://www.npmjs.com/package/@thi.ng/lowdisc)
[](https://mastodon.thi.ng/@toxi)
> [!NOTE]
> This is one of 205 standalone projects, maintained as part
> of the [@thi.ng/umbrella](https://github.com/thi-ng/umbrella/) monorepo
> and anti-framework.
>
> 🚀 Please help me to work full-time on these projects by [sponsoring me on
> GitHub](https://github.com/sponsors/postspectacular). Thank you! ❤️
- [About](#about)
- [Halton](#halton)
- [Kronecker](#kronecker)
- [R2 recurrence](#rsub2sub-recurrence)
- [Status](#status)
- [Related packages](#related-packages)
- [Installation](#installation)
- [Dependencies](#dependencies)
- [Usage examples](#usage-examples)
- [API](#api)
- [Authors](#authors)
- [License](#license)
## About
n-dimensional low-discrepancy sequence generators/iterators.
This package provides the following n-dimensional [low-discrepancy
sequence](https://en.wikipedia.org/wiki/Low-discrepancy_sequence) generators,
partially based on the article [The Unreasonable Effectiveness of Quasirandom
Sequences](http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/)
by Martin Roberts.
### Halton
Configurable basis for each dimension:
`haltonND([2,3])`
### Kronecker
Configurable basis for each dimension:
`kroneckerND([1 / 2 ** 0.5, 1 / 5 ** 0.5])`
### R2 recurrence
Based on Kronecker with each dimension's base automatically derived from the
[Plastic number](https://en.wikipedia.org/wiki/Plastic_number):
`plasticND(2)`
## Status
**BETA** - possibly breaking changes forthcoming
[Search or submit any issues for this package](https://github.com/thi-ng/umbrella/issues?q=%5Blowdisc%5D+in%3Atitle)
## Related packages
- [@thi.ng/poisson](https://github.com/thi-ng/umbrella/tree/develop/packages/poisson) - nD Stratified grid and Poisson-disc sampling w/ support for spatial density functions and custom PRNGs
- [@thi.ng/random](https://github.com/thi-ng/umbrella/tree/develop/packages/random) - Pseudo-random number generators w/ unified API, distributions, weighted choices, ID generation
## Installation
```bash
yarn add @thi.ng/lowdisc
```
ESM import:
```ts
import * as ld from "@thi.ng/lowdisc";
```
Browser ESM import:
```html
```
[JSDelivr documentation](https://www.jsdelivr.com/)
For Node.js REPL:
```js
const ld = await import("@thi.ng/lowdisc");
```
Package sizes (brotli'd, pre-treeshake): ESM: 456 bytes
## Dependencies
- [@thi.ng/errors](https://github.com/thi-ng/umbrella/tree/develop/packages/errors)
## Usage examples
Two projects in this repo's
[/examples](https://github.com/thi-ng/umbrella/tree/develop/examples)
directory are using this package:
| Screenshot | Description | Live demo | Source |
|:-------------------------------------------------------------------------------------------------------------------------|:-----------------------------------------------------------|:-------------------------------------------------------|:------------------------------------------------------------------------------------|
| 
| Quasi-random lattice generator | [Demo](https://demo.thi.ng/umbrella/quasi-lattice/) | [Source](https://github.com/thi-ng/umbrella/tree/develop/examples/quasi-lattice) |
| 
| Interactive scatter & line plot of low-discrepancy samples | [Demo](https://demo.thi.ng/umbrella/viz-scatter-plot/) | [Source](https://github.com/thi-ng/umbrella/tree/develop/examples/viz-scatter-plot) |
## API
[Generated API docs](https://docs.thi.ng/umbrella/lowdisc/)
TODO
## Authors
- [Karsten Schmidt](https://thi.ng)
If this project contributes to an academic publication, please cite it as:
```bibtex
@misc{thing-lowdisc,
title = "@thi.ng/lowdisc",
author = "Karsten Schmidt",
note = "https://thi.ng/lowdisc",
year = 2020
}
```
## License
© 2020 - 2025 Karsten Schmidt // Apache License 2.0