Perhaps the most destructive phenomena in natural science is the growth of cancer cells. The qualitative and quantitative comparison of simulated growth patterns with histological patterns of primary tumors may provide additional information about the morphology and the functional properties of cancer. In this paper we show a simple two and three dimensional model to simulate the growth of carcinoma. Our simulation includes cell proliferation, reciprocal influence among cells, cell division and cell death. The results show fractals structures and its gyration radius, number of cells on tumor periphery and fractal dimension, characterizes every simulated pattern growth. We proposes the use of Hash function to the DLA (Diffusion-Limited Aggregation) in two and three-dimensional problem, the possibility of developing studies in higher dimensions without affecting the required time by the algorithm, is shown. The similarities between this computational model and abnormal cell growing are shown as well.