Polychoron viewer

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Shape

View

Mesh Ray traced (GPU)

Projection Slice

Solid Translucent Wire

Opacity

Flat colour 4D depth

Edges Ghost outline

4D → 3D projection

Perspective Ortho Stereo

4D eye

Stereographic projection maps the 3-sphere into 3D space from the pole at w = +1. Circles stay circles.

Slice hyperplane

Sweep through slices

Sweep rate

4D spin (rad/s per plane)

Melody: walk the vertices

Each walker steps through the shape’s vertices along its pattern and sings one view coordinate of where it stands. A still shape repeats its tune; turning it in 4D turns the notes.

Centre of rotation

Show pivot marker

Spins and 4D drags turn about this point, in the object's own coordinates. Off-centre, the object swings around it, in and out of the slice and toward or away from the 4D eye.

3D camera

Perspective Orthographic

Drag to orbit, scroll or pinch to zoom. Shift-drag (or right-drag) turns the object in 4D. Space pause, [ ] change object, S slice.

Capture

Snapshot

Video

Snapshots save as PNG and video as MP4, framed exactly as the scene is drawn. P snapshot, R start or stop recording.

kata −wana +w