Plate 107
Fourier Circles
Circles turning on circles can draw almost any closed shape, given enough of them.
- Family
- Math
- Origin
- Raised from a recipe
- Habit
- Diurnal: kept on the page
- Voice
- Yes, with the sound on
- Your own
- Your own shape
- Licenses
- Own work (made in the page)
How to play
Tap to spin the circles. Type a word or a curve in the Splash tab.
Notes
Each circle spins a whole number of times per loop while riding on the rim of the one before, and the tip of the last one traces the drawing. This is a Fourier series, named after Joseph Fourier, who showed in the early 1800s that repeating patterns can be built by adding up simple waves.
Tap to spin them and watch the shape drawn again. Few circles draw a wobbly shape and many draw a crisp one: set how many in the Splash tab, pick a heart, a star or a square wave, stack them in 3D, or type words (up to 40 letters) and each letter gets its own chain of circles, five letters at a time.
Its controls
| Control | Kind | Range | Start |
|---|---|---|---|
| Spin the circles | Tap | ||
| Spin | Button | ||
| Shape | List | 5 choices | Heart |
| View | List | 2 choices | 2D |
| Circles | Setting |
Details
- Splats
- Opens at 200,000 at Mid Detail, 60,021 at Low, and up to 680,000 at Max
- Your own files
- .txt
Sources and credits
Made in Splashery. Its code is MIT.