Aisle 6No. 106 of 460
Splashery
Circle and Waves
419,993 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
Circle and Waves
The unit circle is a circle with a radius of 1.
Play with it in the Playground
How to play
Tap to send the point round. Hands-on: drag the point round; the waves follow.
Toy facts
- Item
- No. 106 of 460
- Shelf
- Aisle 6, Math
- Kind
- Built from a recipe
- Small parts
- 419,993
- Your own
- Your own path
- Sound
- Yes
- Hands-on
- 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 |
|---|---|---|---|
| Go round | Tap | ||
| Turn | Button | ||
| View | List | 2 choices | 2D diagram |
| Path | List | 6 choices | Circle |
| Turns | Setting |
About it
The unit circle is a circle with a radius of 1. As a point goes around it, turning through an angle called θ, its height is the sine of θ and its left-right place is the cosine. Traced out over time, they make two waves, the same shapes as sound and light waves.
Tap it and the point goes once around while its height draws the sine wave and its left-right place draws the cosine wave. For the circle, Euler's formula, e^(iθ) = cos θ + i sin θ, lights up piece by piece. In the Splash tab, try a 3D helix, another path, up to three turns, or type your own: x = …, y = … with t, or r = … with θ.
Details
- Splats
- Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 590,000 at Max
- Your own files
- .txt
Sources and credits
Made in Splashery. Its code is MIT.
