Aisle 6No. 107 of 460
Splashery
Fourier Circles
470,000 small parts. Assembled in your browser.
Empty. Now look down.
Swipe across the pack to tear it open.
Press and hold. It pulls itself together.
Let go to drop it.
It stays in its pack here. The Playground has the rest.
Math · Built from a recipe
Fourier Circles
Circles turning on circles can draw almost any closed shape, given enough of them.
Play with it in the Playground
How to play
Tap to spin the circles. Type a word or a curve in the Splash tab.
Toy facts
- Item
- No. 107 of 460
- Shelf
- Aisle 6, Math
- Kind
- Built from a recipe
- Small parts
- 470,000
- Your own
- Your own shape
- Sound
- Yes
- Batteries
- None
- Assembly
- It does that itself
- Licenses
- Own work (made in the page)
- Price
- $0.00
Small parts are the splats in its usual build on a computer. A phone may draw fewer.
Its controls
| Control | Kind | Range | Start |
|---|---|---|---|
| Spin the circles | Tap | ||
| Spin | Button | ||
| Shape | List | 5 choices | Heart |
| View | List | 2 choices | 2D |
| Circles | Setting |
About it
Circles turning on circles can draw almost any closed shape, given enough of them. 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.
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.
