From: Beyond bilateral symmetry: geometric morphometric methods for any type of symmetry
 | 2D | 3D |
---|---|---|
Symmetry under rotation only: | ||
Symmetric | 2k - 2 | 3k + c - 3 |
Asymmetric | 2k(o - 1) + 2c - 2 | 3k(o - 1) + 2c - 4 |
Symmetry under rotation and reflection: | ||
Completely symmetric | 2p + b + m - 1 = k - 1 | 3p + 2b + 2m + c - 2 |
Reflection symmetry only | 2p(o - 1) + b(o - 1) + m(o - 1) + c - 1 = k(o - 1) + c - 1 | If o is even:
If o is odd:
|
Rotational symmetry only | 2p + b + m - 1 = k - 1 | 3p + b + m - 1 |
Completely asymmetric | 2p(o - 1) + b(o - 1) + m(o - 1) + c - 1 = k(o - 1) + c - 1 | If o is even:
If o is odd:
|