Results 291 to 300 of about 69,132 (324)

Efficient Regular Polygon Dissections

2000
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Jorge Urrutia, Danny Krizanc, Evangelos Kranakis   +2 more
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The Cinderella of regular polygons

2017
Among 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, 1962
In 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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Regular Polygons and Stars

2021
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, 2004
The 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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Loops of Regular Polygons

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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Accelerating regular polygon beams

Optics Letters, 2010
Beams 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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On Skewed Regular Polygons

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 Groups of Regular Complex Polygons

Canadian Journal of Mathematics, 1961
The two-dimensional unitary space, U2, is a complex vector space of points (x, y) = (x1 + ix2, y1 + iy2), for which the distance between (x, y) and (x', y') is defined by . A unitary transformation is a linear transformation which preserves distance. A line is the set of points (x, y) satisfying some complex equation ax + by = c.
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Regular and Irregular Polygons

1981
Polygons are figures with more than four straight sides. If the sides are all the same length the figures are said to be regular polygons, if they are not all the same length the figures are irregular polygons. A polygon with 5 sides is a pentagon 6 sides is a hexagon 7 sides is a heptagon 8 sides is an octagon 9 sides is a ...
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