HIVEHUE ← RETURN TO HIVEHUE

4D SLICE

You cannot picture a higher dimension. You can watch its cross‑section pass through yours. Drag the control — all three worlds are pierced at once.

After Rudy Rucker · Geometry, Relativity and the Fourth Dimension · the analogy of A. Square

01Flatland · cube crosses a plane
A. Square sees a polygon appear, swell, and vanish. edges: —
02Your space · the slice as you'd see it
You see a polyhedron appear, swell, and vanish. faces: —
03The whole tesseract, in 4-D at w = —
4-D object and its cross-section.
The crossing — depth along the unseen axisw = 0.00
beforeenteringfull sectionleavingafter

One gesture drives all three. The slider is the position of an object from the next dimension up, sliding through the world below it. What you keep is only the slice that touches your space — never the whole shape.

Rucker's point, in one move: a being one dimension below you could never see your body — only the cross-sections that pass through their world as you push through it. The tesseract in panel 03 is doing to you exactly what the cube in panel 01 does to A. Square. The slice is all either of you ever gets.

Interactive study · cross-section & dimensional analogy · single-file HTML · HiveHue · Copyright 2026 Leonel Palacios