Each scalar (angle, spacing) unfurls through mathematical projection into visual reality.
ΞΈ β (cos ΞΈ, sin ΞΈ) β line family β pixels. Minimal input β maximum specification.
30Β° Diagonals: Shallow Gradient Field
angle=30 unfurls into southwestβnortheast lines
Crosshatch: Dual Field Interference
Two βΞ¦ fields at 60Β° and 120Β° superimposed
Grid: Orthogonal Coordinate Field
x=const β© y=const level sets
Rings: Concentric Equipotential Surfaces
Multiple radii from single center point
Burst: Angular Direction Field
12 rays emanating from center
Wave: Sinusoidal Field
y = AΒ·sin(kx) where k = 2Ο/Ξ»
Dots: Lattice Point Sampling
Ξ¦ evaluated at regular grid points
Full Stack: All Layers Combined
Complete scalar unfurling demonstration