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The smallest square that can be cut into (m × n) rectangles, such that all m and n are different integers, is the 11 × 11 square, and the tiling uses five rectangles. [1] The smallest rectangle that can be cut into (m × n) rectangles, such that all m and n are different integers, is the 9 × 13 rectangle, and the tiling uses five rectangles ...
square decametre: dam2 Q23931040: dam 2: US spelling: square dekameter: 1.0 dam 2 (1,100 sq ft) square metre: m2 Q25343: m 2: US spelling: square meter: 1.0 m 2 (11 sq ft) m2 sqft; square decimetre: dm2 Q3331719: dm 2: US spelling: square decimeter: 1.0 dm 2 (16 sq in) square centimetre: cm2 Q2489298: cm 2: US spelling: square centimeter: 1.0 ...
Following Grünbaum and Shephard (section 1.3), a tiling is said to be regular if the symmetry group of the tiling acts transitively on the flags of the tiling, where a flag is a triple consisting of a mutually incident vertex, edge and tile of the tiling. This means that, for every pair of flags, there is a symmetry operation mapping the first ...
The board foot or board-foot is a unit of measurement for the volume of lumber in the United States and Canada [1].It equals the volume of a board that is one foot (30.5 cm) in length, one foot in width, and one inch (2.54 cm) in thickness, or exactly 2.359 737 216 liters.
Comparison of 1 square foot with some Imperial and metric units of area. The square foot (pl. square feet; abbreviated sq ft, sf, or ft 2; also denoted by ' 2 and ⏍) is an imperial unit and U.S. customary unit (non-SI, non-metric) of area, used mainly in the United States, Canada, the United Kingdom, Bangladesh, India, Nepal, Pakistan, Ghana, Liberia, Malaysia, Myanmar, Singapore and Hong Kong.
A Pythagorean tiling Street Musicians at the Door, Jacob Ochtervelt, 1665.As observed by Nelsen [1] the floor tiles in this painting are set in the Pythagorean tiling. A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.