SHAPE: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else, by Jordan Ellenberg. (Penguin Press, $28.) In fine-grained detail, “Shape” reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning. It offers a critique of how math is taught, an appreciation of its peculiar place in the human imagination and biographical sections about beautiful minds and splendid eccentrics. Ellenberg, a professor at the University of Wisconsin–Madison, is “rather spectacular at this sort of thing,” our critic Parul Sehgal writes. His “preference for deploying all possible teaching strategies gives ‘Shape’ its hectic appeal; it’s stuffed with history, games, arguments, exercises.”
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