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The four quadrants of a Cartesian coordinate system. The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. The axes themselves are, in general, not part of the respective quadrants.
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.
A quad chart is a form of technical documentation used to briefly describe an invention or other innovation through writing, illustration and/or photographs. [1] Such documents are described as "quad" charts because they are divided into four quadrants laid out on a landscape perspective.
Gaspard Monge's four quadrants and two planes. Modern orthographic projection is derived from Gaspard Monge's descriptive geometry. [4] Monge defined a reference system of two viewing planes, horizontal H ("ground") and vertical V ("backdrop"). These two planes intersect to partition 3D space into 4 quadrants, which he labeled: I: above H, in ...
Its chromatic number is 4: it can be colored using four colors, but not using only three. It is, as Chvátal observes, the smallest possible 4-chromatic 4-regular triangle-free graph; the only smaller 4-chromatic triangle-free graph is the Grötzsch graph, which has 11 vertices but has maximum degree 5 and is not regular. [1]
The Meredith graph, a quartic graph with 70 vertices that is 4-connected but has no Hamiltonian cycle, disproving a conjecture of Crispin Nash-Williams. [ 4 ] Every medial graph is a quartic plane graph , and every quartic plane graph is the medial graph of a pair of dual plane graphs or multigraphs. [ 5 ]
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