The Steiner Ratio Conjecture for Cocircular Points.
The Tangent cone of an Aleksandrov space of curvature.
The theorem of desargues in planes with analogues to Euclidian angular bisectors.
The theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry
In [Comput. Math. Appl. 41 (2001), 135--147], A. A. Ungar employs the Möbius gyrovector spaces for the introduction of the hyperbolic trigonometry. This Ungar's work plays a major role in translating some theorems from Euclidean geometry to corresponding theorems in hyperbolic geometry. In this paper we explore the theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry.
The theorems of Urquhart and Steiner-Lehmus in the Poincaré ball model of hyperbolic geometry
The Translation Planes of Order 16 that Admit Nonsolvable Collineation Groups.
The tree of life and other affine buildings.
The triangular extensions of a generalized quadrangle of order .
The Two Most Algebraic K3 Surfaces.
The uniqueness of groups of type J4.
The universal embedding of the near polygon .
The use of visual schema to find properties of a hexagon
The valuations of the near octagon .
The valuations of the near polygon G.
The Veldkamp space of two-qubits.
The visual sphere of Teichmüller space and a theorem of Masur-Wolf.
The weight distribution of the functional codes defined by forms of degree 2 on Hermitian surfaces
We study the functional codes defined on a projective algebraic variety , in the case where is a non-degenerate Hermitian surface. We first give some bounds for , which are better than the ones known. We compute the number of codewords reaching the second weight. We also estimate the third weight, show the geometrical structure of the codewords reaching this third weight and compute their number. The paper ends with a conjecture on the fourth weight and the fifth weight of the code .
The weighted Fermat triangle problem.
Théorème relatif à la courbe de Watt
Théorème sur les surfaces