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Random curds as mathematical models of fractal rhythm in architecture
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The author Carl Bovill has suggested and described a method for generating
rhythm in architecture with the help of random curds, as they are the
mathematical models of unpredictable and uneven groupings which he recognizes
in natural shapes and in natural processes. He specified the rhythm generated
in this way as the fractal rhythm. Random curds can be generated by a simple
process of curdling, as suggested by B. Mandelbrot. This paper examines the
way in which the choice of probability for every stage or level of the
curdling process, and the number of stages in the procedure of curdling,
affect the characteristics of the obtained fractal object as a potential
mathematical model of rhythm in the design process. At the same time, this
paper examines the characteristics of rhythm in architecture which determine
whether the obtained fractal object will be accepted as an appropriate
mathematical model of the observed rhythm.
Title: Random curds as mathematical models of fractal rhythm in architecture
Description:
The author Carl Bovill has suggested and described a method for generating
rhythm in architecture with the help of random curds, as they are the
mathematical models of unpredictable and uneven groupings which he recognizes
in natural shapes and in natural processes.
He specified the rhythm generated
in this way as the fractal rhythm.
Random curds can be generated by a simple
process of curdling, as suggested by B.
Mandelbrot.
This paper examines the
way in which the choice of probability for every stage or level of the
curdling process, and the number of stages in the procedure of curdling,
affect the characteristics of the obtained fractal object as a potential
mathematical model of rhythm in the design process.
At the same time, this
paper examines the characteristics of rhythm in architecture which determine
whether the obtained fractal object will be accepted as an appropriate
mathematical model of the observed rhythm.
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