The DMT Atlas

GEOMETRY · THE DMT ATLAS

Fractal lattices & jeweled tilings

geometryPhase 3

Description

Nested, self-similar fractal patterning and tessellating tilings saturating every surface — jeweled, crystalline, gridwork lattices that fractalate and split. QRI argues these are hyperbolic tilings of negative curvature.

Further notes from the corpus

Augment: the lattice/honeycomb tiling is Klüver's fourth form constant, and Bressloff/Cowan derive exactly such lattices from stripe/roll patterns in V1 mapped through the retinocortical transform — the tessellations are a signature of cortical geometry. Michael et al. (2021) found explicit lattice/gridwork imagery in 25% of accounts.

What the sources say

'Fractals, geometric shapes, and patterns' (incl. kaleidoscopes, mandalas) in ~32.6% of reports.
Surfaces 'saturated with nested 2-dimensional symmetry groups,' composed of hyperbolic tilings with negative curvature.
Jeweled, self-transforming, language-like geometry.
Lattice form constant: 'grating, lattice, fretwork, filigree, honeycomb, or chessboard.'
Regular tilings/lattices arise as V1 stripe-and-lattice eigenmodes projected to the visual field — the mathematical origin of jeweled tessellation percepts.
Lattice/gridwork environments reported in 25% (9/36) of accounts; participant GR described 'an empty blueprint of the universe... a simple grid.'

Questions

What is Fractal lattices & jeweled tilings?

Nested, self-similar fractal patterning and tessellating tilings saturating every surface — jeweled, crystalline, gridwork lattices that fractalate and split. QRI argues these are hyperbolic tilings of negative curvature.