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Regular polygons and transfinite diameter [PDF]
Bulletin of the Australian Mathematical Society, 2000 We study the behaviour of the transfinite diameter of regular polygons of fixed diameter, as a function of the number of their vertices.
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Coordinates for the Regular Complex Polygons
Journal of the London Mathematical Society, 1997Regular complex polytopes (including regular complex polygons) were discovered by \textit{G. C. Shephard} [Proc. Lond. Math. Soc., III. Ser. 2, 82-97 (1952; Zbl 0047.14106)] and completely enumerated. The objective of the paper is to relate the known list of regular complex polygons in \(\mathbb{C}^2\) to the more familiar list of regular real ...
J. B. Wilker +2 more
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Partitions of Regular Polygons
2021A regular polygon, for example, a square, can be dissected in different ways by continued partition.
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The Cinderella of regular polygons
2017Among the regular polygons, the regular heptagon most certainly is Cinderella. Contrary to a triangle, a square, a pentagon or a hexagon, the heptagon is not constructible using compass and straightedge methods. In what follows, we will guide you through the proof of this non-constructibility.
Ad Meskens, Paul Tytgat
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On covering a regular polygon with a triangle
Mathematical Proceedings of the Cambridge Philosophical Society, 1962In this note we consider a particular type of covering problem. Let T be given a plane set and Tθ be the set obtained from T by a rotation about some point in the plane through an angle θ in the clockwise sense. If a set K is such that for every θ there is a translation which transforms Tθ into a subset of K then we say that K is a rotation cover of T.
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2021
Regular stars are created by connecting vertices of regular polygons according to a certain rule.
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Regular stars are created by connecting vertices of regular polygons according to a certain rule.
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Frobenius Quasigroups and Regular Polygons
Results in Mathematics, 2004The authors discuss in this paper which conditions force a Frobenius quasigroup to have a multiplication that is one of the geometric multiplications defined by the regular \(n\)-gons. Topological Frobenius quasigroups \(Q\) homeomorphic to a connected topological variety as well as algebraic connected Frobenius quasigroups are of this type if they ...
Oddvar Iden, Karl Strambach
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The American Mathematical Monthly, 2000
(2000). Loops of Regular Polygons. The American Mathematical Monthly: Vol. 107, No. 6, pp. 500-510.
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(2000). Loops of Regular Polygons. The American Mathematical Monthly: Vol. 107, No. 6, pp. 500-510.
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Accelerating regular polygon beams
Optics Letters, 2010Beams that possess high-intensity peaks that follow curved paths of propagation under linear diffraction have recently been shown to have a multitude of interesting uses. In this Letter, a family of phase-only masks is derived, and each mask gives rise to multiple accelerating intensity maxima.
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The Mathematics Teacher, 1970
The regular polygone considered in the definition above are those encountered in plane geometry. These are configurations whose elements are coplanar. Polygons whose elements are not coplanar are termed skewed. The triangle, by its very nature, must be a plane configuration (fig. 1). (Three noncollinear points always determine a plane.)
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The regular polygone considered in the definition above are those encountered in plane geometry. These are configurations whose elements are coplanar. Polygons whose elements are not coplanar are termed skewed. The triangle, by its very nature, must be a plane configuration (fig. 1). (Three noncollinear points always determine a plane.)
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