THE TOPOLOGY
S
1
= ∂(Möbius) ↪ S
3
, ∂S
3
= ∅
S
3
Space
Möbius Surface
S
1
Edge
Cone Point
u₀ = sin(y/R)
Sample Ψ
a₀ · Θ = 13/120 · C = 0.223
H₀ · Θ = 34/120 · C = 1.208
Λ · Θ = 60/120 · C = 2.000
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Topology
Totally Geodesic Embedding
The Möbius strip lives ON the great S² within S³. Its geodesics are geodesics of space. The metric pinches to a cone point at the pole, where the eigenfunction peaks.
λ₀ = R_Σ = 2/R²
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