Papadopolos and Kasner Model

2-Fold Planes
All points (x,y,x) in the file with the same value of "x" belong to the same 2-fold plane.

5-Fold Planes
All points (x,y,z) in the list with the same value of "z" belong to the same 5-fold plane.

3-Fold Planes
First apply to all points (x,y,z) the rotation matrix

All rotated points (x,y',z') with the same value of " z' " belong to the same 3-fold plane.


Katz and Gratias Model

2-Fold Planes
All points (x,y,x) in the file with the same value of "z" belong to the same 2-fold plane.

5-Fold Planes
First apply to all points (x,y,z) the rotation matrix

All rotated points (x',y',z) with the same value of " x' " belong to the same 5-fold plane.

3-Fold Planes
First apply to all points (x,y,z) the rotation matrix

All rotated points (x,y',z') with the same value of " y' " belong to the same 3-fold plane.