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 Toggle 2D / 3D mode

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

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.