3 citations · 3 across the 7 of their papers we have counts for
7 papers · 1 filter
On a class of -configurations reflecting abstract properties of a perspective between tetrahedrons
Małgorzata Prażmowska, Krzysztof Prażmowski
In the paper we give a complete classification of schemes of abstract perspectives between two tetrahedrons such that intersecting edges corespond under this perspective to interse…
The Cremona-Richmond Configuration revisited and generalized
M. Prażmowska, K. Prażmowski
We propose a generalization of the classical point-line Cremona-Richmond configuration to a configuration of points and more dimensional subspaces of a projective space, and presen…
The Cox, Clifford, Möbius, Miquel, and other related configurations and their generalizations
M. Prażmowska, K. Prażmowski
The realizability of countable Cox configurations on Miquelian planes is proved. A simple way to determine the automorphisms of the Cox configurations is presented.
Binomial partial Steiner triple systems containing complete graphs
M. Prażmowska, K. Prażmowski
We propose a new approach to studies on partial Steiner triple systems consisting in determining complete graphs contained in them. We establish the structure which complete graphs…
Operation of weaving partial Steiner triple systems
Małgorzata Prażmowska, Krzysztof Prażmowski
We introduce an operation of a kind of product which associates with a partial Steiner triple system another partial Steiner triple system, the starting one being a quotient of the…
Hyperplanes, parallelisms, and related problems in the theory of Veronese Spaces
K. Petelczyc, K. Prażmowski, M. Prażmowska +1
We study parallelisms on Veronese spaces associated with affine spaces, determine hyperplanes in Veronese spaces associated with projective spaces, and analyse the geometry of para…
Projective symplectic geometry on regular subspaces; Grassmann spaces over symplectic copolar spaces
M. Prażmowska, K. Prażmowski, M. Żynel
We construct Grassmann spaces associated with the incidence geometry of regular and tangential subspaces of a symplectic copolar space, show that the underlying metric projective s…