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A rolling ruler is a ruler that contains a cylinder much like a rolling pin inside, thereby enabling it to "roll" along a sheet of paper or other surface where it is being used. A rolling ruler can draw straight, parallel lines, and also has other instruments included, enabling it to do the jobs of a protractor and compass .
A variety of rulers A carpenter's rule Retractable flexible rule or tape measure A closeup of a steel ruler A ruler in combination with a letter scale. A ruler, sometimes called a rule, scale or a line gauge or metre/meter stick, is an instrument used to make length measurements, whereby a length is read from a series of markings called "rules" along an edge of the device. [1]
Using a markable ruler, regular polygons with solid constructions, like the heptagon, are constructible; and John H. Conway and Richard K. Guy give constructions for several of them. [20] The neusis construction is more powerful than a conic drawing tool, as one can construct complex numbers that do not have solid constructions.
It also gives the position of the bit that changes at each step of the Gray code. [3] In the Tower of Hanoi puzzle, with the disks of the puzzle numbered in order by their size, the 1-based ruler function gives the number of the disk to move at each step in an optimal solution to the puzzle. [4]
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.
There is no requirement that a Golomb ruler be able to measure all distances up to its length, but if it does, it is called a perfect Golomb ruler. It has been proved that no perfect Golomb ruler exists for five or more marks. [3] A Golomb ruler is optimal if no shorter Golomb ruler of the same order exists. Creating Golomb rulers is easy, but ...
It was probably first developed as a means of printing patterns on cloth, and by the 5th century was used in China for printing text and images on paper. [1] Woodcuts of images on paper developed around 1400 in Europe, and slightly later in Japan. [2]
Let G be a finite, strongly connected, directed graph where all the vertices have the same out-degree k.Let A be the alphabet containing the letters 1, ..., k.A synchronizing coloring (also known as a collapsible coloring) in G is a labeling of the edges in G with letters from A such that (1) each vertex has exactly one outgoing edge with a given label and (2) for every vertex v in the graph ...