Fuzzy plane geometry I: Points and lines
โ Scribed by J.J. Buckley; E. Eslami
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 501 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given n points in three dimensional euclidean space, not all lying on a plane, let 1 be the number of lines determined by the points, and let p be the number of planes determined. We show that 1'3 cnp, where c > 0. This is the weak version of the so-called Points-Lines-Planes conjecture (a conjectur
Let r be a rank 3 incidence geometry of points, lines and planes. This paper classifies all finite geometries r whose planes are affine, whose point residues are dual affine and which satisfy Condition 1: any two points of r are incident with at most one line. Such a geometry is necessarily isomorph