A geometric k-configuration is a collection of points and straight lines in the plane so that k
points lie on each line and k lines pass through this point. We introduce a new construction …

An elliptic configuration is a configuration with all its points on a cubic curve, or more
precisely, where all points are in the torsion group of an elliptic curve. We investigate the …

Celestial 4-configurations are a class of highly symmetric geometric configurations of points
and lines in the plane in which 4 points lie on each line and 4 lines pass through each point …

Highly symmetric figures, such as regular polytopes, can serve as a scaffolding on which
spatial (nk) point-line configurations can be built. We give several constructions using this …

A 5 hyphen configuration is a collection of points and straight lines in the Euclidean plane so
that each point lies on five lines and each line passes through five points period We …

In this dissertation, we examine the nature of embeddings with regard to both combinatorial
and geometric configurations. A combinatorial [r, k]-configuration is a collection of abstract …

A geometric k-configuration is a collection of points and lines, typically in the Euclidean
plane, with k points on each line, k lines passing through each point, and non-trivial …

Abstract The “Grünbaum Incidence Calculus” is the common name of a collection of
operations introduced by Branko Grünbaum to produce new (n 4) configurations from …

Abstract Geometric (4, 6)-configurations are collections of points and straight lines, in the
Euclidean plane, so that every point has four lines passing through it and every line has six …

A 4-configuration is a collection of points and lines in the Euclidean plane such that each
point lies on four lines and each line passes through four points. In this paper we introduce a …