<div dir="ltr">Well done. Yes, that's a good version of what I had in mind.<br><br><div class="gmail_quote">On Tue, Feb 23, 2010 at 10:07, Bert Freudenberg <span dir="ltr"><<a href="mailto:bert@freudenbergs.de">bert@freudenbergs.de</a>></span> wrote:<br> <blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;"><div class="im">On 22.02.2010, at 17:24, Edward Cherlin wrote:<br> ><br> ><br> >>> Implemented in Turtle Art, not so hard.<br> >>> <a href="http://tonyforster.blogspot.com/2010/02/turtle-pythagoras.html" target="_blank">http://tonyforster.blogspot.com/2010/02/turtle-pythagoras.html</a><br> >><br> >> That layout doesn't really convey the idea of the proof to me. This does:<br> </div><div class="im">>> (from <a href="http://en.wikipedia.org/wiki/Mathematical_beauty" target="_blank">http://en.wikipedia.org/wiki/Mathematical_beauty</a>)<br> <br> </div><div class="im">> In my diagrams, you move exactly two triangles from inside the first<br> > square to get the second arrangement. The red line marks off the two<br> > squares on the sides. Adding labels, or highlighting certain sides<br> > further, should make the construction as obvious as you like.<br> <br> </div>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.<br> <br> 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.<br> <br> 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:<br> <br> <br><br> <br> You can see how I created it here, takes just five minutes to do:<br> <a href="http://www.youtube.com/watch?v=YIGCdOtfd7E" target="_blank">http://www.youtube.com/watch?v=YIGCdOtfd7E</a><br> <br> - Bert -<br> <br> <br>_______________________________________________<br> IAEP -- It's An Education Project (not a laptop project!)<br> <a href="mailto:IAEP@lists.sugarlabs.org">IAEP@lists.sugarlabs.org</a><br> <a href="http://lists.sugarlabs.org/listinfo/iaep" target="_blank">http://lists.sugarlabs.org/listinfo/iaep</a><br></blockquote></div><br><br clear="all"><br>-- <br>Edward Mokurai (默雷/धर्ममेघशब्दगर्ज/دھرممیگھشبدگر ج) Cherlin<br> Silent Thunder is my name, and Children are my nation. <br>The Cosmos is my dwelling place, the Truth my destination.<br><a href="http://www.earthtreasury.org/">http://www.earthtreasury.org/</a><br> </div>