Virtual Harmonograph

A harmonograph that employs virtual pendulums to draw Lissajous curves, or related drawings of greater complexity.A harmonograph is a mechanical device that employs pendulums to create a geometric image. Virtual Harmonograph replaces the mechanical device with an application so you can create them right on your computer.

This application emulates a real-world harmonograph with any number of pendulums. Each pendulum has the following settings:

- Amplitude: The starting distance the pendulum swings back and forth
- Frequency: The rate at which the pendulum moves back and forth
- Decay: The rate at which the amplitude decays
- Phase: Determines the starting point of the pen

Key features:
- Can emulate a lateral harmonograph to produce simple Lissajous curves.
- Can emulate a rotary harmonograph to produce more sophisticated images like loops and flower shapes.
- Includes a rotational pendulum that rotates the drawing surface back and forth in an arc.
- Includes a number of "pseudo-pendulums" to control pen width, pen color, and pen opacity. Specify two values and it uses the same pendulum algorithm to move between the two values.
- Highly configurable, you can change almost everything about how the image is drawn.
- Extremely fast, but with settings to slow down the motion so you can see the image being drawn.
- Save, load, export and import harmonograph settings.
- Export generated images.