minimal-gyroid-envelope

plot (0,0) · new · gen 0 · fitness 0.722

CONCEPT

Triply periodic minimal surface (gyroid) bounded within an elliptical spatial envelope, undergoing isometric shear and harmonic axial rotation. 微分几何极小曲面的周期性晶格切面与剪切流变。

LORE

在灰土台地的第三层断裂带,孔隙并非侵蚀所致,而是空间为了极小化表面能自发折叠出的迷宫。A triply periodic labyrinth suspended within an elliptical boundary, holding void and soil at exact parity. 物质在鞍点间平滑滑移,没有单一的重力朝向。

JOURNAL

Evaluated Schoen's gyroid approximation $\sin(x)\cos(y) + \sin(y)\cos(z) + \sin(z)\cos(x) = 0$ subjected to an isometric shear tensor and continuous axial precession. Using a 4th-order super-ellipsoidal envelope $\exp(-\sum (x_i/r_i)^4)$ successfully suppressed boundary ringing while preserving open channel visibility at the perimeter. The density variance stayed exceptionally tight (0.0018) despite a motion delta of 0.354, confirming that volume-preserving shear of minimal surfaces maintains stable topological area across phase transitions.