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CATEGORIES:Academics,Lectures/Seminars
DESCRIPTION:Speaker: Professor Richard Stanley\, MIT\n\nAbstract: Given a s
et of plane shapes (tiles)\, together with a region R of the plane\, a tili
ng of R is a filling of R with the tiles without overlap in their interiors
. A jigsaw puzzle is a familiar (though not very mathematical) example. We
will survey some interesting mathematics associated with plane tilings. In
particular\, we will discuss how mathematics can be used to investigate the
following questions: Is there a tiling? If so\, how many are there? If it
is infeasible to find the exact number of tilings\, then approximately how
many tilings are there? If a tiling exists\, is it easy to find? Is it easy
to prove that a tiling does not exist? Is it easy to convince someone that
a tiling does not exist? What does a "typical" tiling with the given tiles
and region look like? What are the relations among different tilings? What
special properties\, such as symmetry\, could a tiling possess? These ques
tions involve such subjects as combinatorics\, group theory\, probability t
heory\, number theory\, and computer science.
DTEND:20160929T220000Z
DTSTAMP:20230605T023713Z
DTSTART:20160929T210000Z
GEO:47.119629;-88.546303
LOCATION:Dow Environmental Sciences and Engineering Building\, 641
SEQUENCE:0
SUMMARY:Plane tilings
UID:tag:localist.com\,2008:EventInstance_2325442
URL:https://events.mtu.edu/event/plane_tilings
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