[IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)

[Bert Freudenberg]

On 22.02.2010, at 17:24, Edward Cherlin wrote:
> 
> 
>>> Implemented in Turtle Art, not so hard.
>>> http://tonyforster.blogspot.com/2010/02/turtle-pythagoras.html
>> 
>> That layout doesn't really convey the idea of the proof to me. This does:
>> (from http://en.wikipedia.org/wiki/Mathematical_beauty)

> In my diagrams, you move exactly two triangles from inside the first
> square to get the second arrangement. The red line marks off the two
> squares on the sides. Adding labels, or highlighting certain sides
> further, should make the construction as obvious as you like.

I think with a fixed diagram the one shown at the Wikipedia article above is more obvious - unless you already *know* how to interpret your diagram. 

The idea itself works very nicely if actually doing it with tiles. It introduces an additional helper square which I found distracting in the picture you showed, but works fine when done interactively. 

I tried that idea in Etoys - very easy to do, no scripting involved (unless you want animation). And that lead me even to a static picture I find easy to understand:

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You can see how I created it here, takes just five minutes to do:
http://www.youtube.com/watch?v=YIGCdOtfd7E

- Bert -