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UID:dde4aac358626d87680e8363f387c5b6
CATEGORIES:Experimental Mathematics Seminar
CREATED:20230314T131553
SUMMARY:Partitioning a Square into Similar Rectangles
LOCATION:Zoom
DESCRIPTION:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; 
 text-indent: 0px; text-transform: none; white-space: normal; widows: 2; wor
 d-spacing: 0px;"><em>Abstract</em>: OEIS Sequence&nbsp;<a href="https://oei
 s.org/A359146">A359146</a>&nbsp;gives the number of different aspect ratios
  that are possible when partitioning a square into n similar rectangles. We
  will discuss several algorithms that have been used to compute the first f
 ew terms of this sequence, and see a theoretical result that connects the p
 roblem to continued fractions. As a fun challenge to do before the talk, yo
 u can try to compute a(3), the number of different ratios that are possible
  when dividing up a square into 3 similar rectangles (not necessarily of th
 e same size).</p>
CONTACT:George Spahn, Rutgers University
X-EXTRAINFO:Zoom Link https://rutgers.zoom.us/j/94346444480\n[password: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420 ]
DTSTAMP:20260828T102324
DTSTART;TZID=America/New_York:20230330T170000
DTEND;TZID=America/New_York:20230330T180000
SEQUENCE:0
TRANSP:OPAQUE
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