#math is art

You start off seeing a few stars, these stick out to you against the night sky. When you look closer, more stars seem to fade into view. What was once a relatively small number stars starts to impress you with its magnitude. You think you could have numbered them, you think you still can. It would be quite a big task now, however.

So you focus on a small cluster of stars, you give them names and try to draw lines connect them. These lines are invisible of course, but the structures they form and the stories they tell are as visible to you as are the stars themselves. They may not be visible to others who haven’t gazed upon your cluster and drawn the shapes themselves.

There are some who know many of the shapes that the stars may form. They can connect each dot and name each shape. They cannot, however, give the name of each star in a single shape. They can’t tell you how brightly each star burns other than by observation. They can’t tell tell you the shapes, they cannot tell you the forms.

This same issue is faced by the stargazers themselves. They can give each detail about their own shape, and would be considered quite neglectful if they couldn’t at least give descriptions of the others. However, they have much the same ability to name and number the stars outside their own clusters as the layman can name any stars beyond the brightest or most basic.

Coming Out of the Kleinbottle. Because y'all asked for it. Don't say I never did anything for you.

I just wrote some stuff that was on my mind about axiomatization of dynamical systems and then I indulged in drawing fractals... when I drew that circle-one I instantly saw a 3-D version of it and drew it shortly afterwards. It looks like I can grab it. Lol

I love drawing with ballpoint pen - it is perfectly like simulating chaos that leads to a neat and tidy overall result ("order"). Many details built up the big picture. When I draw with ballpoint pen I constantly draw beyond the "borders" - but only a bit/ a tiny amplitude. When I keep drawing multiple times around the same place it's much like a chaos attractor with shrinking deviation in their bifurcations of trajectory towards the equilibrial state.

It's like this note I wrote earlier that year: