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BEGIN:VEVENT
UID:0da77900511dc6d044ff7e89f0154f54
CATEGORIES:Experimental Mathematics Seminar
CREATED:20210309T120446
SUMMARY:Pairing Strategies for Tic-Tac-Toe on the Boolean Hypercube
LOCATION:zoom
DESCRIPTION:Abstract: We consider a tic-tac-toe-style game on the vertices of the n-dim
 ensional Boolean hypercube {0,1}n with k-dimensional subcubes as winning se
 ts. We describe a pairing strategy which allows the second player to force 
 a draw when k = n/4 +1 in the case where n is a power of 4. Our results aro
 se from significant experimentation using Mathematica. \n(Based on joint wo
 rk with Klay Kruczek and Ramin Naimi)\n
X-ALT-DESC;FMTTYPE=text/html:<p style="text-align: left; color: #000000; text-transform: none; text-inde
 nt: 0px; letter-spacing: normal; font-family: Times New Roman; font-size: 1
 6px; font-variant: normal; font-weight: 400; text-decoration: none; word-sp
 acing: 0px; white-space: normal; orphans: 2;"><em>Abstract</em>: We conside
 r a tic-tac-toe-style game on the vertices of the n-dimensional Boolean hyp
 ercube {0,1}<sup>n</sup> with k-dimensional subcubes as winning sets. We de
 scribe a pairing strategy which allows the second player to force a draw wh
 en k = n/4 +1 in the case where n is a power of 4. Our results arose from s
 ignificant experimentation using Mathematica. </p><p style="text-align: lef
 t; color: #000000; text-transform: none; text-indent: 0px; letter-spacing: 
 normal; font-family: Times New Roman; font-size: 16px; font-variant: normal
 ; font-weight: 400; text-decoration: none; word-spacing: 0px; white-space: 
 normal; orphans: 2;">(Based on joint work with Klay Kruczek and Ramin Naimi
 )</p>
CONTACT:Eric Sundberg, Occidental College
X-EXTRAINFO:https://rutgers.zoom.us/j/94346444480\n[password: The 20th Catalan number, 
 alias (40)!/(20!*21!), alias 6564120420 ] 
DTSTAMP:20260829T161003
DTSTART;TZID=America/New_York:20210408T170000
DTEND;TZID=America/New_York:20210408T180000
SEQUENCE:0
TRANSP:OPAQUE
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