Today I decided to try my hand at drawing a freehand Fibonacci spiral; I sketched out the grid and spiral line in pencil, then pen, before finessing the colours in Photoshop:

Although the angles aren’t quite perfect I’m more disappointed that I wasn’t able to complete more stages – I reached the 9th stage before sketchbook space became an issue. The visual result is a bit of a let-down as well; while I’m fairly pleased with the rendering itself (it looks like a drawing in a maths book), and find the progression of the Fibonacci sequence interesting, I’m not sure I like the shape of the spiral itself. I suspect that had I been able to take it on further, I might have had a more satisfying result.