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Using Monte Carlo techniques, the critical behaviour at edges and corners ofthe three-dimensional Ising model is studied. In particular, the criticalexponent $\beta_2$ of the local magnetization at edges formed by twointersecting free surfaces is estimated to be, as a function of the openingangle $\theta$, $0.96 \pm 0.02$ for $\theta = 135^o$, $1.28 \pm 0.04$ for$90^o$, and $2.30 \pm 0.10$ for $45^o$. The critical exponent $\beta_3$ of thecorner magnetization of a cube is found to be $1.86 \pm 0.06$. The Monte Carloestimates are compared to results of mean field theory, renormalization groupcalculations and high temperature series expansions.Comment: 6 pages, 7 figures, submitted to European Physical Journa

Critical phenomena at edges and corners