4-edge

The 4-edge is a regular complex edge with 4 vertices. It is abstractly equivalent to the tetrad.

4-edge
Rank	1
Space	Complex
Notation
Coxeter diagram
Schläfli symbol	$_{4}\{\}$
Elements
Vertices	4
Related polytopes
Real analog	Square
κ ?	4-edge
Abstract & topological properties
Flag count	4

Vertex coordinates

A 4-edge with unit circumradius has vertices at the 4th roots of unity.

• $1$
• $i$
• $-1$
• $-i$