From: Beyond bilateral symmetry: geometric morphometric methods for any type of symmetry
Effect | 2D | 3D |
---|---|---|
Individual | (n - 1) × (2p + b + m - 1) = (n - 1) × (k - 1) | (n - 1) × (3p + 2b + 2m + c - 2) |
Rotation | 2p(o - 1) + b(o - 1) + m(o - 1) + c - 1 = k(o - 1) + c - 1 | If o is even:
If o is odd:
|
Reflection | 2p + b + m - 1 = k - 1 | 3p + b + m - 1 |
Rotation × reflection | 2p(o - 1) + b(o - 1) + m(o - 1) + c - 1 = k(o - 1) + c - 1 | If o is even:
If o is odd:
|
Rotation × individual | (n - 1) × (2p(o - 1) + b(o - 1) + m(o - 1) + c - 1) = (n - 1) × k(o - 1) + c - 1 | If o is even:
If o is odd:
|
Reflection × individual | (n - 1) × (2p + b + m - 1) = (n - 1) × (k - 1) | (n - 1) × (3p + b + m - 1) |
Rotation × reflection × individual | (n - 1) × (2p(o - 1) + b(o - 1) + m(o - 1) + c - 1) = (n - 1) × k(o - 1) + c - 1 | If o is even:
If o is odd:
|
Measurement error | (r - 1) × n × (4po + 2bo + 2mo + 2 c - 4) = (r - 1) × n × (2ko + 2 c - 4) | (r - 1) × n × (6po + 3bo + 3mo + 3 c -7) |