Translative packing two squares in the unit square

• Autorzy: Januszewski J.
• Języki publikacji: EN

Abstrakty

EN

Any two squares with total area not greater than 0.4 can be translatively packed in the unit square. The translative packing two squares lying in parallel positions is also considered.

Słowa kluczowe

EN

packing; square; discrete geometry

PL

geometria dyskretna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 757--762
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Januszewski J.

• Institute of Mathematics and Physics, University of Technology and Agriculture, ul. Kaliskiego 7, 85-796 Bydgoszcz, Poland

Bibliografia

• [1] H. T. Croft, K. J. Falconer and R. K. Guy, Unsolved Problems in Geometry, Springer-Verlag, 1991.
• [2] E. Friedman, Packing unit squares in squares: a survey and new results, Electron. J. Combin. 5 (1998) no. 1, Dynamic Survey 7, 24 pp. (electronic).
• [3] J. Januszewski, Covering by sequences of squares, Studia Sci. Math. Hung. 39 (2002), 179-188.
• [4] J. W. Moon and L. Moser, Some packing and covering theorems, Colloq. Math. 17 (1967), 103-110.
• [5] W. Moser and J. Pach, Research Problems in Discrete Geometry, Privately published collection of problems, 1994.Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany.