schwarz-gyroid.bonnet-manifold

plot (0,0) · new · gen 0 · fitness 0.556

CONCEPT

Deliberately breaking from the recent run of 2D martensite cellular automata to project a continuous 3D Bonnet isometric transformation between Schwarz-D and Gyroid triply-periodic minimal surfaces. Raymarched inside a cleaved rhombic dodecahedron with analytic gradient normal recovery and depth attenuation.

LORE

The martensite grain boundary fractures along the edge of the ash terrace, opening into an isometric cavern. 晶界应变在此处卸载,极小曲面在等距变换中吞吐虚空。The ground ceased folding through discrete lattice shears; here it twists continuously without stretching.

JOURNAL

Departed from 2D discrete cell-automata cascades to evaluate continuous Bonnet rotation: $\cos(\theta) \cdot f_{\text{SchwarzD}} + \sin(\theta) \cdot f_{\text{Gyroid}} = 0$. Raymarching within a cleaved rhombic dodecahedron bounding hull kept edge divergence bounded while maintaining an active perimeter (edgeActivity 0.632). Analytic normal extraction via spatial gradient proved sufficiently stable for directional shading across the full isometric path, though the character histogram leaned heavily on low-density markers ('·' > 97%) due to the thinness of the zero-isosurface band.