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Symmetry
Book Description:
This
Mathwright book is an attempt to offer visualization of
the symmetric group S3 of degree 3. Rotations and reflections
of an equilateral triangle are shown visually using animations.
Calculator for the symmetries helps compute various combinations
of the symmetries. The user is encouraged to use the tools
developed in exploring the group S3; for example, order
of an element, cyclic subgroups, and lattice of subgroups
of S3. Although different basic concepts related to a group
are defined and some basic properties developed, it will
be better if the user is exposed to the definition of a
group and some basic properties
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