Abstract
The ornamental groups of the plane are the rosette groups, the frieze groups, and the wallpaper groups. The rosette groups are the finite groups of isometries, which by Leonardo’s Theorem are the groups Cn and Dn. A frieze group is a group of isometries whose subgroup of translations is generated by one translation. Frieze groups were treated in Chapter 10. We now turn to the last of the ornamental groups of the plane by considering groups whose subgroup of translations is generated by two translations.
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© 1982 Springer-Verlag New York Inc.
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Martin, G.E. (1982). The Seventeen Wallpaper Groups. In: Transformation Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5680-9_11
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DOI: https://doi.org/10.1007/978-1-4612-5680-9_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5682-3
Online ISBN: 978-1-4612-5680-9
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