Tesseract · 4D projection

Polytope

tesseract

Vertices · Edges

16 · 32

Status

running

Projection

perspective

Exporting

Overview

A four-dimensional polytope, rotated in real time and projected down to the screen — 4D to 3D by dividing through w, 3D to 2D by dividing through z. The controls below choose the shape and the projection. The six 4D planes have separate rotation rates. The two camera distances can be moved, and the vector lines can be switched to ASCII glyphs. How it works.

Polytope

Projection

Rotation speed Running

xy0.15

xz0.25

xw0.40

yz0.00

yw0.55

zw0.00

Camera

D₄2.20

D₃3.40

Scale200

Render

Edge1.4

Vertex3.2

Depth shade

Glow edges

Background

ASCII glyphs off

Render mode

Depth palette · near → far

Near

Mid·N

Mid·F

Far

Vertex glyph ◆

Glyph px18

Curvature · warp

Sph0.00

Twist0.00

Bulge0.00

Notes

Six rotation planes in 4D (xy, xz, xw, yz, yw, zw); the three that include w produce the inside-out motion. Vertices and edges shift color by their w sign: accent for +w, signal for −w.