Loop atelier

0.150

Each frame evaluates seeded mathematical functions at a phase t ∈ [0, 1). Multiple samples are averaged in linear light before tone mapping. The references below inform the constructions.

  1. Étienne Jacob — Loop tutorials

    Periodicity, phase offsets, and replacement.

  2. Étienne Jacob — Motion blur template (by beesandbombs), 2023

    Template and temporal-sampling approach by Dave Whyte (beesandbombs).

  3. Étienne Jacob — Processing animation sketches

    Reference implementations studied for technique; no code copied.

  4. Steve Trettel — Regular Polygons in the Poincaré Disk, 2026

    Orthogonal-circle geometry and hyperbolic reflections in Hyperbolic.

  5. N. G. de Bruijn — Algebraic theory of Penrose’s non-periodic tilings of the plane, I–II, 1981

    The pentagrid dual construction used in Phason.

  6. J. F. Nye & M. V. Berry — Dislocations in wave trains, 1974

    Phase singularities and winding number in Vortices.

  7. John Milnor — Singular Points of Complex Hypersurfaces, 1968

    The fibration f/|f| and the trefoil binding used in Milnor.

  8. CGAL — 2D and Surface Function Interpolation

    Power distance and weighted Voronoi cells, used in Laguerre.