@harmonograph/xy

👩‍🎨 Generate a harmonographs X and Y coordinates

Install

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

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.

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

Create randomised harmonograph XY coordinates

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