Descending Squares

Unlike normal, I was able to deliver the square version of the descending pentagons quickly. There was no math to figure out. although there was one interesting choice that I looked into. The choice was to place the 45 triangles to be touching the previous square rather than the corner square. I guess it's simply a preference about complexity. I like both.

The first version is a simple analogue of the descending pentagons--actually it was the original doodle on my boogie board. I find the boogie board is a great exploratory tool because of it's impermanence. Somehow it helps me focus on process rather than product. The version of the boogie board I have doesn't save any of your work and there is no erase so you are stuck with any mistakes unless you erase the entire drawing. So I am tasked with focusing on the internalizing any thing that I do that I think is important. Perhaps this is a bit of a throw back to all the time I spent with chalk and blackboards. Regardless of the tools, the square doodle is a decorated version of drawing a square then using the midpoints of the square as a new square. The corners of the original square then get decorated with their own squares. The second version of this descending square alters the importance of the decorations by using them as a key functioning part. The decorative triangles determine the scale of another layer--it has to fit in the previous square.

I'll look at variations for the pentagon.

My intuition tells me that the hexagon won't be as interesting but I'll probably check it out anyway. If there is anything of note I'll post it.