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Mathematically, therefore, the principle of monotony was applied. Paloma's Zellige earrings, knowing the morphology boundary for higher undercoolings, the authors could also reduce the variance for lower undercoolings and reduce the number of simulations that actually had to be performed to find the morphology boundary. Both numerical models show a similar behavior as the analytical predictions Tiffany Notes Earrings Tiffany & Co. for the morphology boundary (seaweed-dendrite) in that the shape is concave for increasing anisotropy. However, there is a difference to the analyti- cal predictions for low supercoolings. While the analytical predictions state that the whole shape of the boundary is concave, simulations for low supercoolings and anisotropics Tiffany Signature drop earrings aconvex boundary. This discrepancy could be due to the fact that the necessary domains to simulate structures at low supercoolings and anisotropics tend to become huge as the diffusion field advances much faster than the solid-liquid interface in the non-stationary state. Therefore it is possible Heart Link lariat the structures found in the simulations for low supercoolings did not yet reach steady state and thus did not settle into their final morphology. Comparing the two phase-field models with each other we find qualitative correspondence. However, the boundary of the Karma model is slightly more on the left-hand side than the one of the Wheeler model. A detailed discussion of this can be found in Reference 15.