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Similarity motions in E 3 with plane trajectories

Adolf Karger (1981)

Aplikace matematiky

In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types).

Testing of convex polyhedron visibility by means of graphs

Jozef Zámožík, Viera Zat'ková (1980)

Aplikace matematiky

This paper follows the article by V. Medek which solves the problem of finding the boundary of a convex polyhedron in both parallel and central projections. The aim is to give a method which yields a simple algorithm for the automation of an arbitrary graphic projection of a convex polyhedron. Section 1 of this paper recalls some necessary concepts from the graph theory. In Section 2 graphs are applied to determine visibility of a convex polyhedron.

The dynamics of two-circle and three-circle inversion

Daniel M. Look (2008)

Fundamenta Mathematicae

We study the dynamics of a map generated via geometric circle inversion. In particular, we define multiple circle inversion and investigate the dynamics of such maps and their corresponding Julia sets.

Über den Umriss der konvexen Flächen

Václav Medek (1978)

Aplikace matematiky

In dem Artikel is eine Methode zur Konstruktion des Umrisses eines konvexen Gebildes beschrieben, die für automatische Bearbeitung geeignet ist.

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