E8 Root System · 8D explorer

Viewing plane Petrie · 12°

More projections

Motion Playing

Rotation speed 40% Motion trails 5 Drag through dimension 3

Connections

Edge strength 18%

Colour

Structure

drag space to rotate · grab a root to pull the 8D view

Petrie projection 240 roots

Selected root

Root 0

D₈ coordinate root

itself1

60° · joined by an edge56

90° · orthogonal126

120°56

180° · opposite root1

Root size 4.5

Every movement preserves the eight-dimensional distances. The changing picture is a two-dimensional shadow.

Drag a root to request its screen movement. The explorer chooses the smallest rigid 8D rotation that can follow it.