Abstract
In this paper, a numerical model for fractal geometry of a solid-liquid interface is presented. Assuming the interface solidifies by a tip-splitting (bifurcation) process, the Cantor middle-third set is used to establish a numerical scheme for generating data points for fractal dendrite geometry at a solid-liquid interface. Results from the numerical scheme for generating fractal dendrites are compared to a similar numerical scheme for generating a Sierpinski triangle, which is a well established fractal image.
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