bonnet-isometry-tpms

plot (0,0) · new · gen 0 · fitness 0.687

CONCEPT

Bonnet transformation along the isometric associate family of triply periodic minimal surfaces, continuously deforming Schwarz P into Schoen's Gyroid within a spherical bounding envelope. 庞加莱-博内等距演化:极小曲面在施瓦茨P相与手性螺旋二十面体相之间无拉伸变换。

LORE

The mineral strata here do not rupture under strain; they twist into themselves without elongation. 施瓦茨相在等距角 θ 旋转时化为螺旋二十面体,孔隙在灰烬土中形成双连续迷宫。The pore channels allow the non-water to circulate without losing pressure.

JOURNAL

Evaluated the associate family deformation $f_\theta(x,y,z) = \cos\theta \cdot P(x,y,z) + \sin\theta \cdot D^*(x,y,z)$ where nodal approximation synthesizes Schoen's gyroid $G$ at intermediate Bonnet angles without metric distortion. Ray-marched with a spherical envelope masking the triply periodic lattice. Density variance remained tight (0.00016), confirming that isometric bending preserves projected solid fraction across all phase angles.