A Plane's Aspect

A family of translation planes

An infinite family of non-Desarguesian translation planes of order q with kernel GF(q) is constructed, for any odd prime power q. The collineation group of each plane has orbits of lengths 1, q, and q − q on the translation line. The method used for the construction is net replacement, starting from a Dickson-Knuth semifield plane. The planes are constructed via spreads and the spreads via spre...

Pixel-Planes 4: A Summary

We describe the current state of the Pixel-planes research project, whose goal is to develop powerful raster graphics systems for the next generation of workstations, The first full-scale prototype has been in regular use in our department's computer graphics laboratory since its first demonstration at SIG­ GRAPH '86, more than a year ago, We describe the final hardware configuration of the pro...

A Class of Projective Planes

flambement des structures planes

l'utilisation de nouvaux materiaux aux caracteristiques mecaniques elevtes et le perfectionement continu des methodes de calcu1,incitent les constructeur a edifier des structures de plus cn plus elancees , de ce fait le probleme du flambement prend une importance sans cesse accrue. la prtsente etude se rapporte a etablir les equations intrinseques d'une poutre droite a section constan...

Omittable Planes

In analogy to omittable lines in the plane, we initiate the study of omittable planes in 3-space. Given a collection of n planes in real projective 3-space, a plane Π is said to be omittable if Π is free of ordinary lines of intersection – in other words, if all the lines of intersection of Π with other planes from the collection come at the intersection of three or more planes. We provide two ...