Were the letters R, P, Q, G, L, E which represent the faces of the cube chosen for a reason or arbitrary?
AL_
I don't understand why the first 2 properties together imply that rotations are linear?
soohyun3
@atomicapple0 yes, those letters were just chosen arbitrarily - no meaning behind those letters
soohyun3
@AL_ consider what makes a transformation non-linear. A non-linear transformation alters the linear relationship between variables, which in this case would be the shape of the mesh essentially. If we know that rotation keeps the origin fixed and preserves the distances between all points the mesh, is there any way that a rotation could alter the linearity within a mesh?
Were the letters R, P, Q, G, L, E which represent the faces of the cube chosen for a reason or arbitrary?
I don't understand why the first 2 properties together imply that rotations are linear?
@atomicapple0 yes, those letters were just chosen arbitrarily - no meaning behind those letters
@AL_ consider what makes a transformation non-linear. A non-linear transformation alters the linear relationship between variables, which in this case would be the shape of the mesh essentially. If we know that rotation keeps the origin fixed and preserves the distances between all points the mesh, is there any way that a rotation could alter the linearity within a mesh?
How do we check if orientation is preserved?