A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics

A Mathematical Tapestry Demonstrating the Beautiful Unity of Mathematics This easy to read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory the mathematics of polyhedra combinatorial geometry and group theory Usi

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  • Title: A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
  • Author: Peter Hilton Jean Pedersen Sylvie Donmoyer
  • ISBN: 9780521128216
  • Page: 299
  • Format: Paperback
  • This easy to read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory Using a systematic paper folding procedure it is possible to construct a regular polygon with any number of sides This remarkable algorithm has led to interesting proofs of cerThis easy to read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory Using a systematic paper folding procedure it is possible to construct a regular polygon with any number of sides This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing complicated than basic arithmetic and the most elementary plane geometry All of these ideas, and , reveal the beauty of mathematics and the interconnectedness of its various branches Detailed instructions, including clear illustrations, enable the reader to gain hands on experience constructing these models and to discover for themselves the patterns and relationships they unearth.

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