Tiling with rectangles

Tiling with rectangles

A tiling with rectangles is a tiling which uses rectangles as its parts.

Tilings with non-congruent rectangles

The smallest square that can be cut into (m x n) rectangles, such that all m and n are different integers, is the 11 x 11 square, and the tiling uses five rectangles1.
The smallest rectangle that can be cut into (m x n) rectangles, such that all m and n are different integers, is the 9 x 13 rectangle, and the tiling uses five rectangles1.

ee also

tessellation, tiling puzzle


# Journal of Recreational Mathematics, 28:1, p.64.

Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Truncated square tiling — Type Semiregular tiling Vertex configuration 4.8.8 Schläfli symbol t0,1{4,4} t …   Wikipedia

  • List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …   Wikipedia

  • Polyomino — The 18 one sided pentominoes, including 6 mirrored pairs …   Wikipedia

  • Tessellation — A tessellation of pavement A honeycomb is an example of a t …   Wikipedia

  • Boxicity — In graph theory, boxicity is a graph invariant, introduced by Fred S. Roberts in 1969.The boxicity of a graph is the minimum dimension in which a given graph can be represented as an intersection graph of axis parallel boxes. That is, there must… …   Wikipedia

  • Fibonacci number — A tiling with squares whose sides are successive Fibonacci numbers in length …   Wikipedia

  • Hexagonal lattice — The hexagonal lattice or equilateral triangular lattice is one of the five 2D lattice types.Three nearby points form an equilateral triangle. In images four orientations of such a triangle are by far the most common. They can conveniently be… …   Wikipedia

  • Packing problem — Part of a series on Puzzles …   Wikipedia

  • Rectangle — Family Orthotope Type Quadrilateral Edges and vertices 4 Schläfli symbol {}x{} …   Wikipedia

  • Mathematics and art — have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio, regarded as an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid,[1] the Parthenon …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”