منابع مشابه
On Serlio’s constructions of ovals
In his celebrated Tutte l’Opere d’Architettura published over the period 1537–1575 Sebastiano Serlio introduced four techniques for constructing ovals which have thereafter been applied by many architects across Europe. Using various geometric forms (i.e. the triangle, square, and circle) as a basis they produced ovals made up from four circular arcs. This paper analyses both Serlio’s construct...
متن کاملOn the Construction of Ovals
For thousands of years there has been the need to construct ovals! Some of the various approaches available to the artist are discussed (pen and string, mechanical devices, etc.). The shapes of several oval pictures are then analysed using the least squares fitting of elliptical and oval models.
متن کاملCounting Ovals on a Symmetric Riemann Surface
Let S be a compact Riemann surface without boundary. A symmetry of S is an anti-conformal, involutary automorphism. The xed point set of is a disjoint union of circles, each of which is called an oval of . A method is presented for counting the ovals of a symmetry when S admits a large group G of automorphisms, normalized by . The method involves only calculations in G, based on the geometric d...
متن کاملOvoids and Translation Ovals
An ooid in a 3-dimensional projective geometry PG(3, q) over the field GF(q), where q is a prime power, is a set of q#1 points no three of which are collinear. Because of their connections with other combinatorial structures ovoids are of interest to mathematicians in a variety of fields ; for from an ovoid one can construct an inversive plane [3], a generalised quadrangle [11], and if q is e...
متن کاملOvals in Desarguesian planes
This paper surveys the known ovals in Desarguesian of even order, making use of the connection between ovals and hyperovals. First the known hyperovals are and the inequivalent m of small order arc found. The ovals contained in each of the known are determined and presented in a uniform way. Computer for new hyperovals reported. 1. OVALS AND HYPEROVALS Let PG(2, q) be the 'DC," "<"""'0" -:)"t, ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1993
ISSN: 0263-6115
DOI: 10.1017/s1446788700036971