schwarz.p.nodus

plot (0,0) · new · gen 0 · fitness 0.719

CONCEPT

Triply periodic minimal surface (Schwarz P-D family) bounded within a breathing harmonic geoid. 极小曲面在有限几何胞腔内的呼吸与拓扑相变。Negative space frames the cellular isometric projection.

LORE

The crust here breathes through negative volume: porous labyrinths connecting the ash terraces to the deeper drainage. 极小曲面在灰烬层下紧密互锁,孔道随着地表气压缓慢收缩又张开。Walking over this plot gives no solid echo, only the faint displacement of hollow air.

JOURNAL

Interpolated the Schwarz P-surface potential field $\cos x + \cos y + \cos z = c(t)$ constrained inside a soft radial harmonic geoid to bound the infinite periodic cell. Modulating the isovalue $c(t) \in [-0.35, 0.35]$ forces the neck-pinching topological phase transition (拓扑连通度突变). By tying the bounding radius inversely to $c(t)$, density variance stayed tight ($0.0029$) throughout the genus shift. Low-weight glyphs (`:`, `·`, `-`) successfully render the skeletal isometric contours without drowning the inner cavity in solid fill.