I'm still confused as to why being able to keep Sao Paulo fixed prevents us from representing a rotation from Pittsburgh to Sau Paulo. Can we not rotate vertically, then horizontally, to get there? Is this just saying that to form a 3d rotation, we need 3 degrees of freedom and therefore 3 numbers?

dl123

I don't quite get where the 3rd degree of freedom comes from. Is it the direction of rotation?

birb

Can we define a rotation by how the axis of rotation changes over time? I suppose this would be very difficult to do for abnormal rotations though.

euifeiur123efns

Is there a general way to determine the degrees of freedom of a model statistically?

David

I think it makes sense that we need three degrees of freedom, but the example with Sao Paulo seemed to make it more confusing. Can you provide another example?

I'm still confused as to why being able to keep Sao Paulo fixed prevents us from representing a rotation from Pittsburgh to Sau Paulo. Can we not rotate vertically, then horizontally, to get there? Is this just saying that to form a 3d rotation, we need 3 degrees of freedom and therefore 3 numbers?

I don't quite get where the 3rd degree of freedom comes from. Is it the direction of rotation?

Can we define a rotation by how the axis of rotation changes over time? I suppose this would be very difficult to do for abnormal rotations though.

Is there a general way to determine the degrees of freedom of a model statistically?

I think it makes sense that we need three degrees of freedom, but the example with Sao Paulo seemed to make it more confusing. Can you provide another example?