Wikipedia says that Euclidean space is affine (obvious), but that not all affine spaces are Euclidean.
I understand that Euclidean space has extra structure defined on it, namely metrics of distance and angles.
However, are there actual examples of affine spaces that are not Euclidean?
ps. I am not talking about the vector space $R^d$, but about the manifold $E^d$, which is a metric affine space, but not a vector space, though it can be charted by the cartesian coordinates in $R^d$.