HLSL Phyllotaxis Experiments 

The Phyllotactic Equation

This equation amounts to r = c sqrt(n), 𝛉 = n * 137.5 degrees, x = r cos(𝛉 ), y = r sin(𝛉 ), with the c variable determining the space between units. I am using this as a base to mess around with the various nodes in an HLSL context in unreal and trying to see how simple combinations can get different effects.

The image below is that in the most basic form. 'c' is not a variable in the image to create a flower that always follows this pattern even if scaled up, though I did change it to a variable when I started experimenting.

Time Animations

By using a time and sine node combination in various places, I explored different forms of simple animation for the flower pattern. The same pulsing patterns that mimic fireworks at one size looks like they're jumping up and down when zoomed in. The same node can facilitate spinning, the growing/shrinking of iterations, and pulses for various uses.