| Abstract:
With the advent of the Industrial Revolution, the process of urbanization has increased in recent decades and has made urbanization a priority. Evidence suggests that in recent decades, cities have grown exponentially and urban areas have multiplied their initial width. Irregular and uncontrolled expansion of cities has greatly damaged urban spatial integrity and also the proper distribution of services. As a result, planners and policymakers around the world are working to identify and manage the city's urban development pattern by developing sustainable urban development. During the four decades, the city of Malayer has been no exception to this massive urbanization incident. This research is a descriptive-analytical survey which tries to analyze the physical development of the city and the determination of the area and urban neighborhoods using Shannon and Hellendron entropy and density models, as well as using existing maps and aerial photographs and satellite imagery, with the aim of organizing the physical model of development and development of the city of Malayer. Based on the results of the study findings, because of the expansion of the deep gap between the value of entropy due to the horizontal and spherical growth of the city during various decades, which itself is a consequence of urban growth, the pattern of sectorial development has been grown up because of increasing the density of the buildings and the pattern of expansion. Due to the physical constraints which are resulted from natural factors and the existence of agricultural land, intra-texture development model in which the buildings density has been increased and sectorial development model have been proposed to achieve the goals of this study.
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