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DESCRIPTION: The Sausage Catastrophe (Jörg Wills) is the observation that i
n d = 3 and d = 4\, the densest packing of n spheres is a sausage for small
n and jumps to a full-dimensional packing for large n without passing thro
ugh any intermediate dimensions. We denote the smallest value of n for whic
h the densest packing is full-dimensional by k_d. We discuss some upper and
lower bounds for k_3 and k_4\, including k_3 ≤ 56 by Wills (1985) and k_4
<\; 375\,769 by Gandini and Zucco (1992). We present some initial improve
ments to the upper bound for k_4 via extending the work of Gandini and Zucc
o.
DTSTAMP:20220112T202700
DTSTART:20220117T160000
CLASS:PUBLIC
LOCATION:Online via Zoom
SEQUENCE:0
SUMMARY:Ji Hoon Chun (Technische Universität Berlin): The Sausage Catastrop
he in dimension 4
UID:107920006@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20220117-C-Chun.html
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