4D Julia Set Explorer
Explore 2D cross-sections and 3D hyperplane volumes of the 4-dimensional Julia set.
Supports both complex z → z² + c and quaternion q → q² + c iteration.
Navigation
←→ Move left / right (along screen-x)
↑↓ Move up / down (along screen-y)
WS Move in / out (3rd axis)
QE Move ± in remaining dimension
+− / scroll Zoom in / out
Mouse drag Pan (2D) • Orbit (3D)
4D Rotation
1–6 Select rotation plane
<> Rotate in selected plane
Display
Tab Cycle view modes (2D Slice / 2D Julia / 3D)
F Toggle fractal type (Complex / Quaternion)
C Cycle color palette
IK More / fewer iterations
P Cycle 3D quality preset
R Reset view
H Toggle this help
2D Julia Mode
Move mouse to change z₀ (initial value)
Mouse at center → z₀ = 0 → Mandelbrot set
Green outline = Mandelbrot set boundary
Blue lines = iteration escape path at cursor
2D Chess Mode
Two styles: Escape (iteration count + angle) and Position (last bounded z)
[] Decrease / increase square size
\ Toggle chess style (Escape / Position)
Tip: The Mandelbrot set is the c-plane cross-section at z₀ = 0.
Rotate in the X–R or Y–I planes to smoothly blend between Julia and Mandelbrot views.