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The rod, perch, or pole (sometimes also lug) is a surveyor's tool [1] and unit of length of various historical definitions. In British imperial and US customary units, it is defined as 16 + 1 ⁄ 2 feet, equal to exactly 1 ⁄ 320 of a mile, or 5 + 1 ⁄ 2 yards (a quarter of a surveyor's chain), and is exactly 5.0292 meters.
The surveying perch measured 22 French feet. In French North America, it was also equal to 25 square perches, but the royal perch of 18 feet was used, yielding a vergée of 8100 square feet (854.7 m 2) In Guernsey, a vergée (Guernésiais: vergie) is 17,640 square feet (1,639 m 2). It is 40 (square) Guernsey perches. A Guernsey perch (also ...
Rood is an English unit of area equal to one quarter of an acre [2] or 10,890 square feet, exactly 1,011.7141056 m 2. A rectangle that is one furlong (i.e., 10 chains , or 40 rods) in length and one rod in width is one rood in area, as is any space comprising 40 perches (a perch being one square rod).
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.
A square 5 perches on each side, or one quarter of an acre. acre, or arpent carré: 48 400 ~5107 m 2 ~6108 sq yd, or ~1.262 acres The French acre is a square 10 perches (one arpent) on each side. (Does not exactly correspond to the English acre, which is defined as 43 560 square feet.) North America: perche du roi carrée: 324 ~34.19 m 2 ~40.89 ...
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 ...
[1] The Latin text from the manuscript known as BL Cotton MS Claudius D 2 is translated in Ruffhead's Statutes at Large) as It is ordained that 3 grains of barley dry and round do make an inch, 12 inches make 1 foot, 3 feet make 1 yard, 5 yards and a half make a perch, and 40 perches in length and 4 in breadth make an acre. [2] [3]: 277
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning it has 4 squares around every vertex. Conway called it a quadrille. The internal angle of the square is 90 degrees so four squares at a point make a full 360