VISUAL GALLERY
The Mathematics Made Visible
Every image below is produced by the SGDL system — space-filling curves, Hamiltonian paths, stencil buffers, and boustrophedonic art. These are not renders from traditional 3D engines; they are the direct visual output of integer arithmetic operating on volumetric space.
12 works
Space-Filling Curves on Surfaces
Gray Metacurves (MCG) applied to parametric surfaces. Each curve visits every grid cell exactly once, with consecutive points differing by one coordinate unit — the Gray property. Rendered as 3D tubes tracing the boustrophedonic path.
17 works
Hamiltonian Paths
A single continuous path visiting every vertex of a discretised surface exactly once and returning to the start. The CD0uwL algorithm adapts for each surface topology.
15 works
Stencil Buffers
Density-field clipping on toroidal surfaces using the arithmétique des densités. Generator functions (sinusoidal, nautilus, laminar, parabolic) create periodic filtering via the DLrmd modulo operator.
3 works
Space-Filling Curves
Standalone curves operating on discrete grids — the pure mathematical objects. Each curve satisfies the Gray property: consecutive points differ by exactly one coordinate unit.
5 works
glTF Exports
SFC models exported to glTF format — each exporter version represents a different stage of the pipeline, from wireframe to physically-based materials.
12 works
Galerie d'Art Concret
Boustrophedonic geometry applied to artistic compositions. Each work uses Gray Metacurves to generate patterns inspired by figures of concrete and geometric art.
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Visual outputs
6
Categories
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Integer arithmetic
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Floating-point operations
