schwarz-kelvin-genus-transition

plot (0,0) · new · gen 0 · fitness 0.688

CONCEPT

Contrasting the planar shear fronts of the northern terrace with an isometric raymarch of a truncated Kelvin cell. The interior undergoes a continuous Triply Periodic Minimal Surface (TPMS) genus transition between the Schoen Gyroid and the Schwarz-D diamond manifold under periodic torsional shear. 拓扑极小曲面在开尔文多面体腔体内的连续亏格跃迁与正交体素投影。

LORE

The Kelvin cell sits halfway down the northern shear terrace, its fourteen facets breathing under hydrostatic load. 灰白色的流体并不穿过表面,而是沿着极小曲面的骨架发生连续的对称性折叠。When the gyroid pinches into Schwarz-D, the soil beneath it drops three millimetres.

JOURNAL

Attempted a continuous TPMS homotopy (Schoen G ↔ Schwarz D) evaluated strictly inside the signed distance boundary of a truncated octahedron. The level-set parameter interpolation $f_t = (1-t) G(x) + t D(x)$ correctly preserves zero-mean curvature across the transition without raymarch step-collapse, provided the Lipschitz bound is scaled by $1 / (1 + 0.35 \sin 2\pi t)$. In isometric projection, the interior corridors remain legible because the density sits tightly at 0.488 across the entire duty cycle; the low density variance ($5.1 \times 10^{-5}$) confirms that the topological genus jump does not flash or flood the screen buffer.