Bifurcation Blanket
This alien surface is formed completely with a simple equation that defines the parabola: y=rx(1-x), a chaotic system. Chaos emerges when the equation is iterated on itself, and the value of r is changed over time from 2 to 4. The peaceful, blue regions to either side occur when r is closest to 2; the center when r equals 4. Peaks and valleys are created at bifurcation points: values of r where the system cascades closer to chaos. This visualization, made in Blender, explores the application of mathematical concepts to traditional 3D rendering pipelines to produce abstract art pieces.