  We provide further evidence for the nontrivial interplay between geometry and
temperature in the Casimir effect. We investigate the temperature dependence of
the Casimir force between an inclined semi-infinite plate above an infinite
plate in D dimensions using the worldline formalism. Whereas the
high-temperature behavior is always found to be linear in T in accordance with
dimensional-reduction arguments, different power-law behaviors at small
temperatures emerge. Unlike the case of infinite parallel plates, which shows
the well-known T^D behavior of the force, we find a T^{D-1} behavior for
inclined plates, and a ~T^{D-0.3} behavior for the edge effect in the limit
where the plates become parallel. The strongest temperature dependence ~T^{D-2}
occurs for the Casimir torque of inclined plates. Numerical as well as
analytical worldline results are presented.
