Among his most influential works are Lectures on Polytopes (1995), a fundamental text in convex geometry, and Proofs from THE BOOK (1998), co-written with Martin Aigner, which compiles elegant mathematical proofs and has been translated into multiple languages, including Spanish as El libro de las demostraciones. Ziegler has also promoted mathematical outreach through publications like Darf ich Zahlen? (2005), bringing complex concepts to the general public.
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