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DTSTART:20261101T020000
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DTSTART:20270314T020000
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UID:calendar.72358.field_date.0@calendar.lafayette.edu
DTSTAMP:20261103T055044Z
DESCRIPTION:Abstract: When the artist M.C. Escher created his famous Circle
  Limit  \nprints—teeming with intricate repeating figures in non-Euclidean
  space—he  \nwas directly inspired by conversations with Canadian mathemat
 ician H.S.M.  \nCoxeter. At the heart of Escher's patterns is a simple geo
 metric idea:  \nreflections. By placing mirrors across space\, reflections
  act as building  \nblocks to generate endless arrays of symmetry\, formin
 g algebraic objects  \nknown as Coxeter groups.\nIn this talk\, we will tr
 ace the journey of Coxeter groups from visual art and  \ngeometric tilings
  (in Euclidean\, hyperbolic\,and line spaces) to linear  \nalgebra and abs
 tract group theory. But a fascinating puzzle lies hidden in  \nthese struc
 tures: the isomorphism problem. How can two groups defined by  \ncompletel
 y different sets of mirrors\, angles\, and symbols end up describing  \nth
 e exact same underlying symmetry in disguise?\nUsing tools you already kno
 w—like vectors\, inner products\, and  \nmatrices—we will explore how math
 ematicians uncover these secret  \nconnections. No advanced abstract algeb
 ra is required—just an appreciation  \nfor geometry\, history\, and symmet
 ry!\n\n-------- IMPORTED EVENT -------------------------------------------
 -----------\n\nThis event has been imported from an external calendar. Vie
 w the original  \nevent [1].\n\n\n[1] https://ourcampus.lafayette.edu/Math
 Dept/rsvp?id=2144366
DTSTART;TZID=America/New_York:20261105T121500
DTEND;TZID=America/New_York:20261105T130000
LAST-MODIFIED:20261102T155057Z
LOCATION:Private Location (sign in to display)
SUMMARY:Mirrors\, Escher\, and Symmetries in Disguise: The Coxeter Group Is
 omorphism  \nProblem-MAAD Talk-(Mathematical Adventures and Diversions)
URL;TYPE=URI:https://calendar.lafayette.edu/node/72358
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