Metric Wall — K=12 Geometry
Triangular face edge: L
Circumradius of face: rmin = L/√3
A wavepacket at face centre with λc = L/√3
simultaneously resolves all 3 vertices.
Further compression forbidden by topology.
Two-Step Thresholds
msoft = ℏ/(Lc) ≈ 11.8 µg
λc = L — lattice onset

mhard = √3 · msoft ≈ 20.5 µg
λc = L/√3 — topological cutoff

Ratio: mhard/msoft = √3 (exact)
Current Regime
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K=12 Cuboctahedron — Metric Wall Visualisation
Centre-of-mass mass (µg)
m = 8.0 µg
Regime I: Exact Schrödinger
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