sp.obj
1000 vertices, 2994 edges, 1996 faces
Euler characteristic = 2
Total index = -12.5664 (constant throughout smoothing)
Initial sphere, 212 singularities
Smoothed once, 42 singularities
Smoothed twice, 17 singularities
Smoothed three times, 8 singularities
Smoothed four times, 6 singularities
Smoothed five times, 3 singularities