1. Generalized pentagonal geometries.
- Author
-
Forbes, A. D. and Rutherford, C. G.
- Subjects
- *
STEINER systems , *VECTOR spaces , *GEOMETRY , *POINT set theory , *DIVISIBILITY groups - Abstract
A pentagonal geometry PENT(k,r) is a partial linear space, where every line is incident with k points, every point is incident with r lines, and for each point x, there is a line incident with precisely those points that are not collinear with x. Here we generalize the concept by allowing the points not collinear with x to form the point set of a Steiner system S(2,k,w) whose blocks are lines of the geometry. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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