Three-dimensional equations of heat conduction and diffusion are considered in the article: a) with a small, but well-ordered function for thermal sources $f(r,t)$; b) for $f(r,t) \equiv 0$. Stationary and non-stationary cases are discussed, and the formation of arbitrary complex distributions of temperature and concentrations of vacancies along co-ordinates is established. As shown, new two-dimensional structures not specified by the boundary conditions arise within the sample.