Ready

Quaternion Julia: q → q² + c
where q=(x,y,z,w) ∈ ℍ

q² = (a²−b²−c²−d², 2ab, 2ac, 2ad)
for q=(a,b,c,d)

The set shown is a 2D cross-section through the 4D Julia set. Sliders sweep through the w coordinate.

Colors: escape time → hue
Bounded orbits → black