32 citations · 45 across the 5 of their papers we have counts for
5 papers
Loci of Poncelet Triangles in the General Closure Case
Ronaldo Garcia, Boris Odehnal, Dan Reznik
We analyze loci of triangle centers over variants of two-well known triangle porisms: the bicentric and confocal families. Specifically, we evoke the general version of Poncelet's…
A point model for the free cyclic submodules over ternions
Hans Havlicek, Boris Odehnal, Jaroslaw Kosiorek
We show that the set of all (unimodular and non-unimodular) free cyclic submodules of T^2, where T is the ring of ternions over a commutative field, admits a point model in terms o…
On Invariant Notions of Segre Varieties in Binary Projective Spaces
Hans Havlicek, Boris Odehnal, Metod Saniga
Invariant notions of a class of Segre varieties $\Segrem(2)$ of PG(2^m - 1, 2) that are direct products of copies of PG(1, 2), being any positive integer, are established a…
Moebius Pairs of Simplices and Commuting Pauli Operators
Hans Havlicek, Boris Odehnal, Metod Saniga
There exists a large class of groups of operators acting on Hilbert spaces, where commutativity of group elements can be expressed in the geometric language of symplectic polar spa…
Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Hans Havlicek, Boris Odehnal, Metod Saniga
Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unify…