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A Mathematical Tapestry - Demonstrating the Beautiful Unity of Mathematics (Paperback)
Loot Price: R907
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A Mathematical Tapestry - Demonstrating the Beautiful Unity of Mathematics (Paperback)
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This easy-to-read 2010 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 more complicated
than basic arithmetic and the most elementary plane geometry. All
of these ideas, and more, 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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