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The superflip is a completely symmetrical combination, which means applying a superflip algorithm to the cube will always yield the same position, irrespective of the orientation in which the cube is held. The superflip is self-inverse; i.e. performing a superflip algorithm twice will bring the cube back to the starting position.
As mentioned above, if a triangle is non-Delaunay, we can flip one of its edges. This leads to a straightforward algorithm: construct any triangulation of the points, and then flip edges until no triangle is non-Delaunay. Unfortunately, this can take Ω(n 2) edge flips. [10]
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The flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into another. [1] It can also be described as the shortest path distance in a flip graph, a graph that has a vertex for each triangulation and an edge for each flip between two triangulations. [1]
These templates shows a chess diagram, a graphic representation of a position in a chess game, using standardised symbols resembling the pieces of the standard Staunton chess set. The default template for a standard chess board is {{ Chess diagram }} .
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The flip graphs of a quadrilateral (top-left), a pentagon (top-right), and a hexagon (bottom). Examples of flips in dimension 1 (top-right), 2 (top-left and central row), and 3 (bottom row). In mathematics, a flip graph is a graph whose vertices are combinatorial or geometric objects, and whose edges link two of these objects when they can be ...
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