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The edges and vertices of these six regions form Tietze's graph, which is a dual graph on this surface for the six-vertex complete graph but cannot be drawn without crossings on a plane. Another family of graphs that can be embedded on the Möbius strip, but not on the plane, are the Möbius ladders , the boundaries of subdivisions of the ...
Spirograph is a geometric drawing device that produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids.The well-known toy version was developed by British engineer Denys Fisher and first sold in 1965.
The equation of the circle determined by three points (,), (,), (,) not on a line is obtained by a conversion of the 3-point form of a circle equation: () + () () () = () + () () (). Homogeneous form In homogeneous coordinates , each conic section with the equation of a circle has the form x 2 + y 2 − 2 a x z − 2 b y z + c z 2 = 0 ...
Circle packing has become an essential tool in origami design, as each appendage on an origami figure requires a circle of paper. [12] Robert J. Lang has used the mathematics of circle packing to develop computer programs that aid in the design of complex origami figures.
In xfig, figures may be drawn using objects such as circles, boxes, lines, spline curves, text, etc. It is possible to import images in many formats, such as GIF, JPEG, SVG, and EPSF. An advantage of Xfig consists in its ability to display nice mathematical formula in the labels and legends using the TeX language.
Mathematical "graph paper" is formed by imagining a 1×1 square centered around each cell (x, y), where x and y are integers between − r and r. Squares whose center resides inside or exactly on the border of the circle can then be counted by testing whether, for each cell (x, y), +.
A pie chart (or a circle chart) is a circular statistical graphic which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area ) is proportional to the quantity it represents.
The dual graph for a Voronoi diagram (in the case of a Euclidean space with point sites) corresponds to the Delaunay triangulation for the same set of points. The closest pair of points corresponds to two adjacent cells in the Voronoi diagram. Assume the setting is the Euclidean plane and a discrete set of points is given.
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