[IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Edward Cherlin
echerlin at gmail.com
Tue Feb 23 10:18:07 EST 2010
Well done. Yes, that's a good version of what I had in mind.
On Tue, Feb 23, 2010 at 10:07, Bert Freudenberg <bert at freudenbergs.de>wrote:
> 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:
>
>
>
>
> You can see how I created it here, takes just five minutes to do:
> http://www.youtube.com/watch?v=YIGCdOtfd7E
>
> - Bert -
>
>
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--
Edward Mokurai (默雷/धर्ममेघशब्दगर्ज/دھرممیگھشبدگر ج) Cherlin
Silent Thunder is my name, and Children are my nation.
The Cosmos is my dwelling place, the Truth my destination.
http://www.earthtreasury.org/
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