Using grasshopper I created a growing animation of a spiral. The resulting spiral is an Archimedes spiral generated by the equation:
x(t) = R cos(t), y(t) = R sin(t)
Some of the frames in the animation rendered out flickery so I had to remove them. The spiral also starts off with a rather strange deformation, so I need to think about how that can be addressed later.
Here’s the animation.