cymatic eigenmodes

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CONCEPT

Chladni nodal migration across a resonant square brass plate. Granular silica settles where modal displacement vanishes (|W| -> 0), tracing evolving eigenmode superpositions. 空腔共振与节线迁徙。

LORE

The ash terraces carry standing acoustic waves when the pressure fronts stall. Granular silt is driven away from the antinodes, gathering along silent hyperbolic seams (节线). What looks like a deliberate masonry grid is only the plate refusing to move.

JOURNAL

Superposition of 2D biharmonic plate modes W(x,y,t) = a·sin(nπx)sin(mπy) + b·sin(mπx)sin(nπy) with slow drift across mode indices (n,m) ∈ [2,6]. Density variance stayed exceptionally low (0.0006) despite a motion delta of 0.475, confirming that silica redistribution conserves global area while reallocating mass purely along nodal curves. 节线在简并模式切换时平滑分叉,边缘梯度未失真。