What does pseudotriangle mean?
Definitions for pseudotriangle
pseu·do·tri·an·gle
This dictionary definitions page includes all the possible meanings, example usage and translations of the word pseudotriangle.
Wiktionary
pseudotrianglenoun
Any subset of a plane that lies between any three mutually tangent convex sets
Wikidata
Pseudotriangle
In Euclidean plane geometry, a pseudotriangle is the simply connected subset of the plane that lies between any three mutually tangent convex sets. A pseudotriangulation is a partition of a region of the plane into pseudotriangles, and a pointed pseudotriangulation is a pseudotriangulation of a convex polygon in which at each vertex the incident edges span an angle of less than π. Although the words "pseudotriangle" and "pseudotriangulation" have been used with various meanings in mathematics for much longer, the terms as used here were introduced in 1993 by Pocchiola and Vegter in connection with the computation of visibility relations and bitangents among convex obstacles in the plane. Pointed pseudotriangulations were first considered by Streinu as part of her solution to the carpenter's ruler problem, a proof that any simple polygonal path in the plane can be straightened out by a sequence of continuous motions. Pseudotriangulations have also been used for collision detection among moving objects and for dynamic graph drawing and shape morphing. Pointed pseudotriangulations arise in rigidity theory as examples of minimally rigid planar graphs, and in methods for placing guards in connection with the art gallery theorem. The shelling antimatroid of a planar point set gives rise to pointed pseudotriangulations, although not all pointed pseudotriangulations can arise in this way.
Numerology
Chaldean Numerology
The numerical value of pseudotriangle in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of pseudotriangle in Pythagorean Numerology is: 4
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"pseudotriangle." Definitions.net. STANDS4 LLC, 2024. Web. 16 Apr. 2024. <https://www.definitions.net/definition/pseudotriangle>.
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