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Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available either as loose leaf paper or bound in notebooks or Graph Books. It is commonly found in mathematics and engineering education settings, exercise books, and in laboratory notebooks.
Dots and boxes is a pencil-and-paper game for two players (sometimes more). It was first published in the 19th century by French mathematician Édouard Lucas , who called it la pipopipette . [ 1 ] It has gone by many other names, [ 2 ] including dots and dashes , game of dots , [ 3 ] dot to dot grid , [ 4 ] boxes , [ 5 ] and pigs in a pen .
When counting dots near the boundary of the shape as 1/2, there are 69 interior dots and 20 boundary dots for an estimated area of 79, close to the actual area of 25 π ≈ 78.54. A dot planimeter is a device used in planimetrics for estimating the area of a shape, consisting of a transparent sheet containing a square grid of dots. To estimate ...
The dot pattern is a two-dimensional barcode; the most common is the proprietary Anoto dot pattern. In the Anoto dot pattern, the paper is divided into a grid with a spacing of about 0.3 mm, a dot is printed near each intersection offset slightly in one of four directions, a camera in the pen typically records a 6 x 6 groups of dots.
Initially, paper was ruled by hand, sometimes using templates. [1] Scribes could rule their paper using a "hard point," a sharp implement which left embossed lines on the paper without any ink or color, [2] or could use "metal point," an implement which left colored marks on the paper, much like a graphite pencil, though various other metals were used.
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