Eventually I found natural forms and patterns using the sine function with a particle system of 3D objects. In this sketch, hundreds of particles are being pushed into this space as the origin point changes with respect to a sine function. The resulting spiral reflects the stage of the sine wave and constantly changes its alignment to produce moments of natural forms.
"Z rotation spirals" developed as a detour from the Golden Spiral project - building off of the same particle system of objects that created new objects with respect to a sine function. I automated that rotation to go from its minimum to it’s maximum angle indefinitely.