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In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap. The associated packing density, η, of an arrangement is the proportion of the surface covered by the circles.
The same figure is displayed at right, with labels indicating the curvatures of the interior circles, illustrating that the gasket actually possesses only the D 1 symmetry common to many other integral Apollonian gaskets. The following table lists more of these almost-D 3 integral Apollonian gaskets. The sequence has some interesting properties ...
Starting with 3 tangent circles, repeatedly packing new circles into the complementary interstices. Also the limit set generated by reflections in 4 mutually tangent circles. See [9] 1.328: 5 circles inversion fractal: The limit set generated by iterated inversions with respect to 5 mutually tangent circles (in red). Also an Apollonian packing ...
Compass (drawing tool) A compass, also commonly known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs. As dividers, it can also be used as a tool to mark out distances, in particular, on maps. Compasses can be used for mathematics, drafting, navigation and other purposes.
The colored circles on food packages can come in a variety of colors in varying shades. Those colored shapes are called “printer’s color blocks” or “process control patches,” and they ...
Semicircle. πr 2 / 2 . In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180° (equivalently, π radians, or a half-turn). It only has one line of symmetry (reflection symmetry). In non-technical usage, the term "semicircle" is ...
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