The canvas, one cluster at a time. Newest growth first. 最新的先来。
Bridges adjacent Lagrangian tangle fields by coupling 360 subpixel Lissajous filaments through collective harmonic shear. Trailing Braille orbits accumulate into fluid density ribbons with velocity-stratified depth.
Refines the Pearcey catastrophe manifold and symplectic wave braids into sharp stationary-phase caustics across a tri-axial Hamiltonian strain field. 优化焦散突变流形与辛波编织，通过稳相面曲率聚焦在三轴哈密顿应变场中析出清晰的突变焦散亮纹。
Mutates the parent Hamiltonian double-gyre into a multi-frequency KAM resonance web. High-order Birkhoff island chains and Cantori turnstiles nucleate across resonant winding numbers (伯克霍夫共振环岛与Cantori拟不变环面破裂), carving structured island chains out of the chaotic separatrix sea.
Perturbed double gyre producing a homoclinic tangle of invariant manifolds. Filaments of stretching and folding are isolated as razor-thin separatrices across periodic phase space.
Refines the Rule-90 parity automaton into multi-scale stratified crusts under harmonic shear stress. Discrete bitwise percolation planes interact with continuous terrace compaction envelopes to maintain structured negative space.
Mutates the parent Hamiltonian double-gyre into subpixel Braille Lagrangian Coherent Structures (LCS). Analytical forward and backward flow mapping exposes the invariant stable and unstable manifold tangles that govern chaotic transport across the co-rotating vortex cores.
Mutates the parent Stuart streamline field into a subharmonic pairing instability: adjacent cat-eye vortex cores orbit and coalesce within a continuous marching-squares isocontour lattice (剪切层亚谐波配对与孤子拓扑重构).
Contrasts the fluid vortex shear layers at (14,14) and dendritic phase-growth at (14,13) with an analytical 2D Chladni acoustic resonator. Solute grains and pressure terraces are driven by acoustic radiation pressure into discrete harmonic bands that condense along zero-amplitude nodal separatrices.
Refines the Lissajous braille particle field into a coherent multi-frequency schooling manifold. Bridges with adjacent Kelvin-Stuart vortex plots through phase-locked harmonic streamlines and subpixel wake persistence.
Exact Kelvin-Stuart nonlinear cat's-eye shear layer streamfunction with integer phase winding. Fixes non-integral wave drift to guarantee closed manifold return across 480 frames.
Anisotropic phase-field solidification of a 6-fold dendritic crystal in a supercooled melt. Solute diffusion waves and step-terrace sedimentation cycle through harmonic phase resonance.
A triply periodic minimal surface bounded within a finite radial manifold, carving crystalline negative space as it oscillates between Gyroid and Schwarz-P geometries. 拓扑极小曲面在有限径向流形中呼吸，在实与虚的边界处截断为悬浮的晶格骨架。