Pattern Transformations

I found these patterns by serendipitous accident – love the appearance and the math.

[Complex Geometry]

In mathematics, a Voronoi diagram is a special kind of decomposition of a metric space, determined by distances to a specified family of objects (subsets) in the space. These objects are usually called the sites or the generators (but other names are used, such as “seeds”) and to each such object one associates a corresponding Voronoi cell, namely the set of all points in the given space whose distance to the given object is not greater than their distance to the other objects.

Voronoi diagrams are an over exploited resource in Architecture and Design these days, overcoat because of its beautiful structure and its apparent randomness, but, as explained before, Voronoi diagrams are not a product of randomnes, but a complex decomposition of space.

A general acceptance of the idea of a lack of control over the final result of a voronoi diagram is installed in the mind of designers and architects, but, an understanding of…

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