O ukladaní kociek a iných objektov
Uvedieme históriu a prehľad výsledkov o ukladaní kociek do kvádra s minimálnym objemom a pridáme aj hlavné myšlienky niektorých dôkazov. V závere sa veľmi stručne zmienime o iných ukladacích problémoch.
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Vojtech Bálint, Zuzana Sedliačková, Peter Adamko (2020)
Pokroky matematiky, fyziky a astronomie
Uvedieme históriu a prehľad výsledkov o ukladaní kociek do kvádra s minimálnym objemom a pridáme aj hlavné myšlienky niektorých dôkazov. V závere sa veľmi stručne zmienime o iných ukladacích problémoch.
Dumitrescu, Adrian, Jiang, Minghui (2008)
The Electronic Journal of Combinatorics [electronic only]
Szalay, László, Temesvári, Ágota H. (1994)
Beiträge zur Algebra und Geometrie
H. Groemer (1990)
Discrete & computational geometry
R. Bambah, C. Rogers, H. Zassenhaus (1964)
Acta Arithmetica
Roland Bacher (2014)
Confluentes Mathematici
Seeds of sunflowers are often modelled by leading to a roughly uniform repartition with seeds indexed by consecutive integers at angular distance for the golden ratio. We associate to such a map a geodesic path of the modular curve and use it for local descriptions of the image of the phyllotactic map .
Jan M. Aarts, Robbert. J. Fokkink (2003)
Matematički Vesnik
Pavel Novotný (1996)
Archivum Mathematicum
Schürmann, Achill (2000)
Beiträge zur Algebra und Geometrie
Lángi, Zsolt (2004)
Beiträge zur Algebra und Geometrie
Vermes, Imre (1993)
Beiträge zur Algebra und Geometrie
Schulze, Bernd (2011)
The Electronic Journal of Combinatorics [electronic only]
Jonasson, Johan, Schramm, Oded (2000)
Electronic Communications in Probability [electronic only]
Lángi, Zsot (2009)
Beiträge zur Algebra und Geometrie
Doheny, Kevin R. (1995)
Beiträge zur Algebra und Geometrie
Bezdek, Károly, Connelly, Robert, Csikós, Balázs (2006)
Beiträge zur Algebra und Geometrie
Temesvári, Ágota H. (1994)
Beiträge zur Algebra und Geometrie
Janusz Januszewski (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
The unit square can be on-line covered with any sequence of squares whose total area is not smaller than 4.
Janusz Januszewski (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
If n ≥ 3, then any sequence of squares of side lengths not greater than 1 whose total area does not exceed ¼(n+1) can be on-line packed into n unit squares.
Dinesh B. Ekanayake, Manjula Mahesh Ranpatidewage, Douglas J. LaFountain (2020)
Applications of Mathematics
General circle packings are arrangements of circles on a given surface such that no two circles overlap except at tangent points. In this paper, we examine the optimal arrangement of circles centered on concentric annuli, in what we term rings. Our motivation for this is two-fold: first, certain industrial applications of circle packing naturally allow for filled rings of circles; second, any packing of circles within a circle admits a ring structure if one allows for irregular spacing of circles...
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