Thermal metamaterials, especially invisibility cloaks, have been attracting more and more attention due to their powerful manipulation on heat transfer. Here, we design a diamond shaped thermal cloak based on linear transformation thermotics. In contrast to the same shaped electromagnetic cloak that functions in only x direction, the proposed thermal cloak may function in both x and y directions. More interestingly, the manipulating direction is switchable, depending on whether the inner layer of the thermal cloak is a thermal insulator or a thermal superconductor. This is not possibly achievable for the same shaped electromagnetic cloak. It changes the usual perception that transformation thermal metamaterials are just a direct and simplified derivative of the transformation-optic counterpart. We experimentally validate the proposed design, which agrees well with the simulation results. The proposed methodology may open a new avenue to manipulating the Laplacian fields.