This is the Santa Face I made on Desmos!
I stared by doing as many circles as I could (Head, nose, eyes) because then later on, it would be easier to put things over them. To change where I wanted the circles, I added or subtracted value from x and y which moved the circle around. For Santa’s smile, I used a parabola (x²=y) and changed the y intercept and made it so y<-1 so it would stop the parabola from going into infinity. Then I started making a line across his head to start his hat. I made the hat with straight lines, restricted where the lines went, filled in the shape (using > or< instead of =) then restricted where the shape would finish filling. I added a little pompom on the top of his head and some points to make it look like a few stitches. The last part was his beard and I used two parabolas, one for the top and one for the bottom to fill up to the top. I had both a black and a orange one to try making a brown colour since Desmos doesn’t have a white fill.
That’s how this Santa was made!