Results 251 to 260 of about 1,012,550 (289)

A Note on Regular Near Polygons

Graphs and Combinatorics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jack H. Koolen
exaly   +5 more sources

Efficient Regular Polygon Dissections

Geometriae Dedicata, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge Urrutia Galicia, Evangelos Kranakis   +1 more
exaly   +3 more sources

Distance Distributions in Regular Polygons [PDF]

IEEE Transactions on Vehicular Technology, 2013
This paper derives the exact cumulative density function of the distance between a randomly located node and any arbitrary reference point inside a regular $\el$-sided polygon. Using this result, we obtain the closed-form probability density function (PDF) of the Euclidean distance between any arbitrary reference point and its $n$-th neighbour node ...
Zubair Khalid, Salman Durrani
exaly   +6 more sources

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.
openaire   +2 more sources

Properties of Affinely Regular Polygons

Geometriae Dedicata, 1998
The authors discuss affine regularity of polygons in the general setting of polygons in an affine plane over an arbitrary field. They present seven equivalent ways to define affine regularity, one of which appears for the first time; the other definitions had been known earlier [for example, see \textit{H. S. M. Coxeter}, Abh. Math. Semin.
Fisher, J. Chris, Jamison, Robert E.
openaire   +2 more sources

Coordinates for the Regular Complex Polygons

Journal of the London Mathematical Society, 1997
Regular 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 ...
Coxeter, H. S. M., Fisher, J. Chris, Wilker, J. B.   +2 more
openaire   +2 more sources

Measuring regularity of convex polygons

Computer-Aided Design, 2013
We propose several measures to evaluate to which extent the shape of a given convex polygon is close to be regular, focusing on a range of characteristics of regularity: optimal ratio area-perimeter, equality of angles and edge lengths, regular fitting, angular and areal symmetry.
Ramon Chalmeta, Ferran Hurtado, Vera Sacristán, Maria Saumell   +3 more
openaire   +2 more sources

Regular polygons

The Mathematics Teacher, 1962
Complex numbers and regular polygons.
openaire   +1 more source

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 ...
Iden, Oddvar, Strambach, Karl
openaire   +2 more sources

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.
openaire   +2 more sources