Physics Cosmic Scale

Scientists proved a complex 3D shape is actually just a 'shadow' cast by a massive 600-sided object from the 4th dimension.

April 2, 2026

Original Paper

The Mereon System, the 600-Cell, and the Exceptional Algebras $E_6$, $E_7$, $E_8$: Exact Correspondence via $H_3 \subset H_4$ Symmetry and the Eigenform Loop

Robert W. Gray, Lynnclaire Dennis, Louis H. Kauffman

arXiv · 2604.00255

The Takeaway

The study establishes a perfect mathematical link between a complex 120-sided 3D polyhedron and the 600-cell, which is the 4D equivalent of a regular solid. It suggests that complex patterns we see in our three-dimensional world are actually simplified projections of much higher-dimensional symmetries.

From the abstract

This work concerns how the three-dimensional polyhedral Mereon structure (the 120 polyhedron) is the precise projection from four-space of the 600-cell, an analogue in four-dimensional space of a regular solid. The 600-cell is made from 120 copies of a dodecahedron that are fitted together so that each dodecahedral face is matched to the face of another dodecahedron (much as the pentagonal faces of the dodecahedron are matched along their edges). Thus this essential part of the Mereon structure