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Media type:
Book
Title:
The symmetries of things
Contains:
Symmetries -- Planar patterns -- The magic theorem -- The spherical patterns -- Frieze patterns -- Why the magic theorems work -- Euler's map theorem -- Classification of surfaces -- Orbifolds -- Presenting presentations -- Twofold colorations -- Threefold colorings of plane patterns -- Other primefold colorings -- Searching for relations -- Types of tilings -- Abstract groups -- Introducing hyperbolic groups -- More on hyperbolic groups -- Archimedean tilings -- Generalized Schläfli symbols -- Naming Archimedian and Catalan polyhedra and tilings -- The 35 "prime" space groups -- Objects with prime symmetry -- Flat universes -- The 184 composite space groups -- Higher still..
Footnote:
Includes bibliographical references and index
Description:
Symmetries -- Planar patterns -- The magic theorem -- The spherical patterns -- Frieze patterns -- Why the magic theorems work -- Euler's map theorem -- Classification of surfaces -- Orbifolds -- Presenting presentations -- Twofold colorations -- Threefold colorings of plane patterns -- Other primefold colorings -- Searching for relations -- Types of tilings -- Abstract groups -- Introducing hyperbolic groups -- More on hyperbolic groups -- Archimedean tilings -- Generalized Schläfli symbols -- Naming Archimedian and Catalan polyhedra and tilings -- The 35 "prime" space groups -- Objects with prime symmetry -- Flat universes -- The 184 composite space groups -- Higher still