A flexible thermal conduit runs from a first housing portion of an electronic device to a second housing portion of the electronic device, to convey heat generated by an electronic component located in the first housing portion to a heat dissipation structure located in the second housing portion, where the second housing portion is flexibly coupled to the first housing portion, for example, by a hinge or other type of joint. The flexible conduit may include a plurality of layers of thin, flat thermally conductive material, which may be arranged to flex independently of each other in the region where the first and second housing portions are coupled.