An ascending, then descending sum (2)

In my inaugural blog post I talked about an epiphany that I had regarding the relation

and a pictorial "proof without words".  The mathematical lesson to learn here is to be mentally flexible and look at things from a variety of ways: vertically, horizontally and diagonally.  After all, that was how Georg Cantor took the bull by the horns by tackling uncountable infinite numbers with his diagonal argument.

Seeing that there is someone with high standards who had done Java applet and even gave an exposition of "proof without words", I decided to step up my game and post an Adobe Flash interactive animation of what I had in mind.  You can even click on the "rotate" button to change your "point of view".



I had some fun learning and doing it in Adobe Flash ActionScript 3. AS3 does things differently but is more consistent that the older versions. However, there are some issues with Flash's timing and updating, which I have not found a work-around. Meanwhile, please be gentle with the applet.