3D Manifold Visualization
Loop Contraction Oscilloscope
📊 Real-Time Analysis & Metrics
Simply Connected:
YES
Euler Characteristic (χ):
2
Fundamental Group (π₁):
{e}
Betti Numbers (β₀, β₁, β₂):
(1, 0, 0)
Contraction Progress:
0%
Loop Energy:
0.000 J
Ricci Flow Time (t):
0.00 s
Scalar Curvature (R):
1.000
Homeomorphic to S³:
TRUE
Contractible Loops:
∞