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PRODID:-//University of Liverpool Computer Science Seminar System//v2//EN
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DTSTAMP:20260921T235604Z
UID:Seminar-MIF-1426@lxserverM.csc.liv.ac.uk
ORGANIZER:CN=Othon Michail:MAILTO:Othon.Michail@liverpool.ac.uk
DTSTART:20240123T140000
DTEND:20240123T150000
SUMMARY:MIF Series
DESCRIPTION:Daniel Huson: A galaxy of periodic tilings.\n\nThis talk has four parts. In the first part - topology -, we recall the classification of two-dimensional manifolds and orbifolds, and introduce their Conway-Macbeath notation. In the second part - geometry -, we discuss two-dimensional periodic tilings and their classification. In the third part - combinatorics -, we introduce Delaney-Dress symbols and indicate how they can be used to systematically enumerate periodic tilings. Finally, in the fourth part - algorithms and software, we present Tegula (http://tegula.husonlab.org), a computer program that can be used the explore the “galaxy” of all 2.4 billion periodic tilings of the euclidean plane, sphere and hyperbolic plane, of low Dress-complexity. This is joint work with Olaf Delgado and Rüdiger Zeller (https://doi.org/10.1016/j.cagd.2021.102027).\n\nhttps://www.csc.liv.ac.uk/research/seminars/abstract.php?id=1426
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