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UID:7043f9eff85b8e6622d8cb412ac114fb
CATEGORIES:Experimental Mathematics Seminar
CREATED:20251023T092100
SUMMARY:Cutting Rectangles into Two Congruent Pieces
LOCATION:https://rutgers.zoom.us/j/95103383827
DESCRIPTION:In the March 2025 issue of Pour La Science (the French analog of Scientific
  American), Jean-Paul Delahaye, (the French (and contemporary) analog of Ma
 rtin Gardner), solved (in collaboration with his wife, Martine Raison), the
  problem of counting the number of ways of cutting a 3 by 2n checkerboard i
 nto two (connected) congruent pieces, and proved the simple explicit formul
 a 3n+1-n-1. When we asked Delahaye whether he knew the answer for a four by
  n rectangle, he replied that he has no clue, but the problem seems to him 
 to be très difficile. We will describe how, with the right grammar, and som
 e help from our silicon friends, we solved this challenging problem.(Joint 
 work by the two of us with Doron Zeilberger)\n
X-ALT-DESC;FMTTYPE=text/html:<p>In the March 2025 issue of Pour La Science (the French analog of Scienti
 fic American), Jean-Paul Delahaye, (the French (and contemporary) analog of
  Martin Gardner), solved (in collaboration with his wife, Martine Raison), 
 the problem of counting the number of ways of cutting a 3 by 2n checkerboar
 d into two (connected) congruent pieces, and proved the simple explicit for
 mula 3<sup style="color: #000000; font-family: 'Times New Roman'; font-weig
 ht: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent
 : 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 
 0px;">n+1</sup>-n-1. When we asked Delahaye whether he knew the answer for 
 a four by n rectangle, he replied that he has no clue, but the problem seem
 s to him to be&nbsp;<em style="color: #000000; font-family: 'Times New Roma
 n'; font-size: medium; font-weight: 400; letter-spacing: normal; orphans: 2
 ; text-align: start; text-indent: 0px; text-transform: none; white-space: n
 ormal; widows: 2; word-spacing: 0px;">très difficile</em>. We will describe
  how, with the right grammar, and some help from our silicon friends, we so
 lved this challenging problem.<br style="color: #000000; font-family: 'Time
 s New Roman'; font-size: medium; font-weight: 400; letter-spacing: normal; 
 orphans: 2; text-align: start; text-indent: 0px; text-transform: none; whit
 e-space: normal; widows: 2; word-spacing: 0px;">(Joint work by the two of u
 s with Doron Zeilberger)</p>
CONTACT:Robert Dogherty-Bliss, Dartmouth College, and Natalya Ter-Saakov, Rutgers University.
DTSTAMP:20260830T041902
DTSTART;TZID=America/New_York:20251106T170000
DTEND;TZID=America/New_York:20251106T180000
SEQUENCE:0
TRANSP:OPAQUE
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