Boerdijk–Coxeter helix

The Boerdijk–Coxeter helix is a 4D helix (of 3D tetrahedral cells) that makes up the vertices on 4 of the concentric rings of E8 Petrie projection (or the H4 and H4φ rings of the 2 600 cells in E8).

Outer (Ring 4) of H4 in 2D with non-physics vertices of all 8 rings of E8 in the background

helix2Db

inner-outerP

Outer (Ring 4) of H4 in 3D with physics vertices

cells6004b

Ring 3 of H4 in 3D with physics vertices

cells6003b

Ring 2 of H4 in 3D with physics vertices

cells6002b

Inner (Ring 1) of H4φ in 3D with physics vertices

cells6001a

Combined 4 rings of H4 in 3D with physics vertices

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Outer (Ring 4) of H4φ in 3D with physics vertices
cells6004phib

Ring 3 of H4φ in 3D with physics vertices

cells6003phib

Ring 2 of H4φ in 3D with physics vertices

cells6002phib

Inner (Ring 1) of H4φ in 3D with physics vertices

cells6001phib

Combined 4 rings of H4φ in 3D with physics vertices

cells6001234phi-small

Combined 8 rings in 3D with physics vertices

cells6001234-phi-small

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