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An Algebraic Characterization of Properly Congruent-Like Quadrilaterals
Journal of Geometry, 2019 In this paper, we will provide a characterization of pairs of non-congruent quadrilaterals for which all elements are pairwise congruent (‘properly congruent-like quadrilaterals’).
Giovanni Vincenzi +2 more
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Pattern Recognition Letters, 1988
We show that an arbitrarily given quadrilateral can always be interpreted as an image of a parallelogram and that the interpretation is unique aside from a multiplicative constant. Several applications of this theorem are discussed. It could be used to prove an old, geometrical theorem; it could facilitate the matching process when a sequence of images
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We show that an arbitrarily given quadrilateral can always be interpreted as an image of a parallelogram and that the interpretation is unique aside from a multiplicative constant. Several applications of this theorem are discussed. It could be used to prove an old, geometrical theorem; it could facilitate the matching process when a sequence of images
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Brahmagupta quadrilaterals are lattice quadrilaterals
Involve, a Journal of MathematicsA Brahmagupta quadrilateral is a cyclic quadrilateral that has integer side and diagonal lengths with an integer area. The authors prove that a Brahmagupta quadrilateral can be placed in the plane with its vertices having rational coordinates and thus integer ones by some rotation, see [\textit{J.
Marshall, Susan H., Tortorelli, Brooke
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The Mathematical Gazette, 1938
Nearly a month of the summer term remains to be got through by the somewhat jaded boys and girls after the Higher School examination is over. For many years I have been casting round for stimulating topics to discuss with my more or less advanced mathematicians, and this paper is concerned with my latest find.
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Nearly a month of the summer term remains to be got through by the somewhat jaded boys and girls after the Higher School examination is over. For many years I have been casting round for stimulating topics to discuss with my more or less advanced mathematicians, and this paper is concerned with my latest find.
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Creating Quadrilaterals from Quadrilaterals
The Mathematics Teacher, 2016Students create rules to form new quadrilaterals from existing ones, use dynamic geometry software to construct and make conjectures about these, and attempt to prove their conjectures.
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Orthic quadrilaterals of a convex quadrilateral
2010We introduce the orthic quadrilaterals of a convex quadrilateral, based on the notion of valtitudes. These orthic quadrilaterals have properties analogous to those of the orthic triangle of a triangle.
MAMMANA, MARIA FLAVIA +2 more
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Demystifying Quadrilateral Remeshing
IEEE Computer Graphics and Applications, 2015Quadrilateral meshes are ubiquitously used as a control grid for subdivision and parametric surfaces. The process of converting a triangular mesh into a quadrilateral is called retopology, or quadrilateral meshing, and it is an essential step for the creation of 3D models used in games, movies, and special effects.
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Dev2PQ: Planar Quadrilateral Strip Remeshing of Developable Surfaces
ACM Transactions on Graphics, 2022Amir Vaxman +2 more
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