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. Author manuscript; available in PMC: 2015 Oct 1.
Published in final edited form as: Phys Rep. 2014 Oct 1;543(1):1–60. doi: 10.1016/j.physrep.2014.05.001

Table 1.

Predominant values of the principal curvatures for various classes of shapes.

Class of shape c1 c2
1. Tubular > 0 = 0
2. Canal surface > 0 = 0
3. Branched > 0 = 0
4. Disc like
  a. On the rim > 0 = 0
  b. Region enclosed by rim = 0 = 0
5. Inner tubes
  a. Exterior side > 0 = 0
  b. Interior side = 0 < 0