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https://github.com/alex-page/harmonograph-xy

👩‍🎨 Generate a harmonographs X and Y coordinates
https://github.com/alex-page/harmonograph-xy

algorithmic-design geometric-algorithms harmonograph javascript lissajous-curve nodejs

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👩‍🎨 Generate a harmonographs X and Y coordinates

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# @harmonograph/xy

> 👩‍🎨 Generate a harmonographs X and Y coordinates

## Install

```shell
npm install @harmonograph/xy
```

## Get started

The harmonograph is a mechanical apparatus that uses pendulums to create a geometric image. This function uses the drawing time, size and pendulums to create X and Y coordinates for a harmonograph.

If you wish to draw the harmonograph for use on a website you can use `@harmonograph/svg`.

### Create harmonograph XY coordinates

```js
const generateHarmonographXY = require('@harmonograph/xy');

const harmonograph = generateHarmonographXY(
150,
700,
[{
amplitude: 200, frequency: 2.985, phase: 2.054, damping: 0.001
},
{
amplitude: 200, frequency: 3.006, phase: 1.820, damping: 0.008
},
{
amplitude: 200, frequency: 3.003, phase: 2.283, damping: 0.001
},
{
amplitude: 200, frequency: 1.994, phase: 1.155, damping: 0.001
}]
);
```

This returns an object containing an array of X and Y coordinates. When drawn these points create a harmonograph.

```js
{
x: [1, 2, 3],
y: [1, 3, 9]
}
```

### Create randomised harmonograph XY coordinates

```js
const generateHarmonographXY = require('@harmonograph/xy');
const {randomPendulums} = require('@harmonograph/xy');

const harmonograph = generateHarmonographXY(150, 700, randomPendulums());
```

## Options

| Option | Description | Default value | Type |
| --- | --- | --- | --- |
| drawingTime | How long the pendulum swings in seconds | `150` | _number_ |
| size | The size of the svg | `700` | _number_ |
| pendulums | Two pendulums require four items ( x, y and x, y ). Each X and Y value is an object that contains _amplitude_, _frequency_, _phase_, and _damping_ ( see pendulum options below ) | `random values` | _array_ |

## Pendulums object

| Parameter | Description | Default value | Type |
| --- | --- | --- | --- |
| pendulum.amplitude | How far a pendulum swings back and forth, must be from `0` - `360` degrees | `random number` | _number_ |
| pendulum.frequency | How fast a pendulum swings back and forth, for best results use decimal values around `2` and `3` | `random number` | _number_ |
| pendulum.phase | The rate that a pendulum loses its energy, or slows down, must be from `0` to `π` | `random number` | _number_ |
| pendulum.damping | The offset from the normal starting position of a pendulum, must be from `0` to `0.01` | `random number` | _number_ |

## Release History

* v0.0.0 - 💥 Initial version