A Modification of the Random Curds Model by Markov Chain as a Design Tool in Architecture

Abstract

The procedure of generating fractal rhythm in architecture with the help of the random curds model proposed by Carl Bovill had its limitations in practice, related to the number of possible states of architectural elements. Namely, the binary relation: "survives" – "does not survive" between the model units was directly transferred to relationships of architectural elements, which, consequently, can be only in one of these two possible conditions: "this one exists - that one exists". Authors of this paper, in their effort to overcome the aforementioned limitation, in addition to the cell that does not exist, suggest the existence of not only one, but of several different "living cells". The suggested procedure is interpreted as a Markov chain with several states, through several scales. This way, the authors created a modification of the random curds model in this paper, within which they achieved an arbitrary predefined, finite or countable infinite set of states.