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Subjects
52-XX Convex and discrete geometry
52Cxx Discrete geometry
52C15 Packing and covering in $2$ dimensions

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Displaying 1 – 8 of 8

The densest lattice in twenty-four dimensions.

Cohn, Henry, Kumar, Abhinav (2004)

Electronic Research Announcements of the American Mathematical Society [electronic only]

The densest packing of 12 congruent circles in a circle.

Fodor, Ferenc (2000)

Beiträge zur Algebra und Geometrie

The densest packing of 13 congruent circles in a circle.

Fodor, Ferenc (2003)

Beiträge zur Algebra und Geometrie

The Densest Packing of Equal Circles into a Parallel Strip.

Z. Füredi (1991)

Discrete & computational geometry

The Disk-Packing Constant

DAVID W. BOYD (1971)

Aequationes mathematicae

Tile-transitive partial tilings of the plane.

Huson, Daniel H. (1993)

Beiträge zur Algebra und Geometrie

Translative packing of a convex body by sequences of its homothetic copies

Janusz Januszewski (2008)

Archivum Mathematicum

Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose total area does not exceed $0.175$ times the area of $C$ can be translatively packed in $C$ .

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'.

Currently displaying 1 – 8 of 8

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