  This is a companion paper of arXiv:1901.09461, where different notions of
dimension for triangulated categories are discussed. Here we compute dimensions
for some examples of triangulated categories and thus illustrate and motivate
material from loc. cit. Our examples include path algebras of finite ordered
quivers, orbifold projective lines, some tensor powers of path algebras in
Dynkin quivers of type A and categories, generated by an exceptional pair.
