Metric Wall — K=12 Geometry
Triangular face edge:
L
Circumradius of face:
r
min
= L/√3
A wavepacket at face centre with λ
c
= L/√3
simultaneously resolves all 3 vertices.
Further compression forbidden by topology.
Two-Step Thresholds
m
soft
= ℏ/(Lc) ≈ 11.8 µg
λ
c
= L — lattice onset
m
hard
= √3 · m
soft
≈ 20.5 µg
λ
c
= L/√3 — topological cutoff
Ratio: m
hard
/m
soft
= √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
Full Cell
Triangle Face
Wavepacket
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