Thermal illusions with coordinate transformation L. J. Xu, J. Y. Huang, X. Y. Shen and J. P. Huang Department of Physics, Fudan University, Shanghai, 200433, China Introduction Results Heat source can be seen everywhere in nature. It is such a commonplace that we are almost unaware of how difficult it is to control heat flow. Fortunately, with the method of coordinate transformation, we have designed lots of illusion devices to achieve the goal: controlling the heat flow. (a) (b) (c) FIG 2. Thermal rectifier with apparently negative thermal conductivity (a) (c) (e) (b) (d) (f) Method FIG 3. Different thermal patterns The equation of heat conduction: FIG 1. Schematic diagram of coordinate transformation FIG 4. Thermal rectifier : expand and shrink With the coordinate transformation: Conclusion Then we get the parameter: Varieties of illusion devices are shown in this poster which will have broad application prospect.