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Plateau's Laws
1. Surfaces are smooth minimal surfaces
2. Interfaces have constant mean curvature
3. Surfaces meet in threes at 120°
4. Edges meet in fours at arccos(−1/3) ≈ 109.47°
2. Interfaces have constant mean curvature
3. Surfaces meet in threes at 120°
4. Edges meet in fours at arccos(−1/3) ≈ 109.47°
Young-Laplace
ΔP = 4γ/R
κ = ½(κ₁+κ₂)
ΔP = 2γκ
Energy ∝ Area
→ minimize!
κ = ½(κ₁+κ₂)
ΔP = 2γκ
Energy ∝ Area
→ minimize!