Every CPU evaluation returns more than a color: escaped or bounded status, iteration count, final quaternion, potential, orbit-trap distance, derivative bound, and a certified distance estimate. Those records are available directly from the library without constructing this page.
The sampled values are floating-point approximations, but their structural laws are pinned. Because c lies in the real–i plane, rotating the j–k plane commutes with iteration. Restricting to the real–i plane reproduces the ordinary complex Julia evaluator operation for operation.
At zero tilt the hyperplane contains the complex symmetry plane and shows the canonical
rotational suspension. Tilting introduces a real component into the slice normal, producing a
genuinely oblique section. Offset translates that 3-flat through the four-dimensional field.
The displayed mesh is explicitly approximate: a regular sample grid followed by marching
tetrahedra, never an exact CellComplex.
The named parameters are landmarks in one continuous complex parameter plane, not the only quaternion Julia sets. Moving Re(c) and Im(c) switches to custom mode and can pass continuously between connected bodies, dendrites, spirals, and disconnected dust-like regimes.
Ray-marched field evaluates the restricted quaternion function adaptively for every screen ray. It preserves structures far below the old voxel spacing and estimates normals from the field itself. Sampled diagnostic mesh is deliberately more literal: every Float64 grid record and source cell remains inspectable. The WebGPU backend also evaluates a fixed probe set independently and reports its disagreement with the CPU golden path.