Oh boy! More Math!

 

   This is a copy of painting from a few years ago that now belongs to my friend, Olive. I painted it before I wised up about using geometry to divide planes and define forms in perspective more precisely. Every time I go over to her house, a mistake in the arch bothers me. So, I borrowed it back and I'm going to fix it. On the right is the drawing of the alteration that needs to be made. The brown on the upper right is chalk that will help me transfer the corrected arch to the painting. Now all I need to do is match the colors. 

A Torus Knot?

   This showed up in my mailbox today. It was a gift from the student who started my math journey by encouraging me to stop flying by the seat of my pants and actually plot spatial relationships when drawing forms with linear perspective. I am forever grateful for his gentle nudge in that direction.
    I've been asking him about this shape, which I think is called a torus knot. I told him I didn't understand the geometry at all, but I was going to make one out of clay so I could just draw it the old fashioned way. The next day, he presented me with this 3D printed model so that it might 'sate my curiosity and then I would stop pestering him'. 😐
     But still, I love the gift. I think drawing elongated ellipses on three different planes will be a good place to start on this problem. And I've purchased Geometry for Dummies. So in the future, I can maybe keep my pestering to a minimum.