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Translative packing of a square with sequences of squares

Janusz Januszewski (2010)

Colloquium Mathematicae

Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.

Über die Enge von Kugelpackungen und Dicke von Punktsystemen in hyperbolischen Räumen (On the closeness of ball packings and the thickness of point sets in hyperbolic spaces).

Horváth, J., Temesvári, Ágota H. (1997)

Mathematica Pannonica

Über Scheiben mit richtungsinvarianter Packungsdichte.

L. Fejes Tóth (1971)

Elemente der Mathematik

Uniqueness and symmetry in problems of optimally dense packings.

Bowen, Lewis, Holton, Charles, Radin, Charles, Sadun, Lorenzo (2005)

Mathematical Physics Electronic Journal [electronic only]

Universal container for packing rectangles

Janusz Januszewski (2002)

Colloquium Mathematicae

The aim of the paper is to find a rectangle with the least area into which each sequence of rectangles of sides not greater than 1 with total area 1 can be packed.

Virtual movement through planar geometry: Fundamental concepts in visual art.

Chilla, Benigna (1997)

Journal for Geometry and Graphics

Voronoĭ type criteria for lattice coverings with balls

Peter M. Gruber (2011)

Acta Arithmetica

What is the minimum length of a non-extendable lace?

Kemnitz, Arnfried, Soltan, Valeriu (1999)

Beiträge zur Algebra und Geometrie

Zur Zerlegung von Kreisüberdeckungen Ü(r,1) der Ebene in zwei Kreispackungen ...(1) und q(r,1)

M. Schmitz (1990)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Displaying 81 – 89 of 89

Currently displaying 81 – 89 of 89