7 February 2010
One painting, this one from his Art Concret period, stands out among all the others:
It’s a gem. And a perfect example of a visual representation of a recursive formula, a function, where the value becomes the argument.
Put simply the sides of each square and the distance between them are half the size of the preceding square. I read that it’s a way of creating the illusion of perspective on a flat surface but I think he was reaching for something higher or deeper than that. The effect is one of balance, a dynamic serenity.
Here’s a study he made for the painting that gives a glimpse of its skeleton:
And if you like your recursion infinite, you’ll love this page at Go Geometry.