Branches: Nature's Patterns: A Tapestry in Three Parts: Nature's patterns: a tapestry in three parts
As part of a trilogy of books exploring the science of patterns in nature, acclaimed science writer Philip Ball here looks at the form and growth of branching networks in the natural world, and what we can learn from them. Many patterns in nature show a branching form - trees, river deltas, blood vessels, lightning, the cracks that form in the glazing of pots. These networks share a peculiar geometry, finding a compromise between disorder and determinism, though some, like the hexagonal snowflake or the stones of the Devil's Causeway fall into a rigidly ordered structure. Branching networks are found at every level in biology - from the single cell to the ecosystem. Human-made networks too can come to share the same features, and if they don't, then it might be profitable to make them do so: nature's patterns tend to arise from economical solutions.
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Flow, Shapes, and Branches are the three volumes of Philip Balls tour of mathematics in nature.
As a set, these books may be considered a new edition of his previous "The Self-Made Tapestry". Together these books are - in my opinion - much clerarer and much more readable than the previous work.
The books contain very little mathematics but all have a comprehensive list of references allowing the reader to - at least theoretically - obtain the original references.
The language is clear and readable.