Splashery

Aisle 6No. 108 of 460

Splashery

Pythagoras Proof

499,998 small parts. Assembled in your browser.

Empty. Now look down.

Pythagoras Proof, a still.
206010800009
$0.00

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.

Playground

Math · Built from a recipe

Pythagoras Proof

In a right triangle, the two short sides a and b and the long side c always fit a rule: a² + b² = c².

Play with it in the Playground

How to play

Tap to rearrange. Hands-on: slide the triangles yourself to turn a² + b² into c².

Toy facts

Item
No. 108 of 460
Shelf
Aisle 6, Math
Kind
Built from a recipe
Small parts
499,998
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

ControlKindRangeStart
RearrangeTap
ProveButton

About it

In a right triangle, the two short sides a and b and the long side c always fit a rule: a² + b² = c². So a square drawn on the long side has the same area as the squares on the two short sides put together. It is named after Pythagoras, a Greek thinker of about 2,500 years ago, though people in Babylon knew it even earlier.

This is a rearrangement proof. Four copies of the triangle fill a big square, leaving two empty squares, a² and b². Tap it and the triangles slide into the corners, and the empty space becomes one tilted square, c², so a² + b² must equal c². Then they slide back.

Details

Splats
Opens at 200,000 at Mid Detail, 60,000 at Low, and up to 720,000 at Max

Sources and credits

Made in Splashery. Its code is MIT.

Share it

This link opens it in the Playground. To put it on your own page, add the element and one script tag. Every option.

https://splashery.app/play/?toy=pythagoras-proof
<script type="module" src="https://splashery.app/play/src/element.js"></script>
<splashery-toy toy="pythagoras-proof"></splashery-toy>