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The twelve pentominoes. After an introductory chapter that enumerates the polyominoes up to the hexominoes (made from six squares), the next two chapters of the book concern the pentominoes (made from five squares), the rectangular shapes that can be formed from them, and the subsets of an chessboard into which the twelve pentominoes can be packed.
The book has consistently received good reviews. [1] [2] The book has been praised by Martin Gardner. [3] The book is the winner of the Neumann Prize. [4] The book has been praised by Boing Boing. [5]
The second part of the book uses the octonions and the other division algebras associated with it to provide concrete descriptions of the Lie groups of geometric symmetries. These include rotation groups, spin groups, symplectic groups, and the exceptional Lie groups, which the book interprets as octonionic variants of classical Lie groups. [2] [4]
The Symmetries of Things has three major sections, subdivided into 26 chapters. [8] The first of the sections discusses the symmetries of geometric objects. It includes both the symmetries of finite objects in two and three dimensions, and two-dimensional infinite structures such as frieze patterns and tessellations, [2] and develops a new notation for these symmetries based on work of ...
The book has been praised by BoingBoing [2] and British newspaper The Independent. [3] Problems and Puzzles mentioned in the book have been discussed and debated several times by several major mathematicians. [4]
Download as PDF; Printable version; In other projects ... EBGaramond-Maths is a package for LaTeX that provides a version of the EB Garamond 12 for ... Reception The ...
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A Mathematician's Lament, often referred to informally as Lockhart's Lament, is a short book on mathematics education by Paul Lockhart, originally a research mathematician at Brown University and U.C. Santa Cruz, and subsequently a math teacher at Saint Ann's School in Brooklyn, New York City for many years.