Packing lines, planes, etc.: Packings in Grassmannian spaces.
Parabeln mit gemeinsamen isotropem Krümmungskreis.
Parallelbeleuchtung konvexer Körper mit glatten Rändern
Parallelograms inscribed in a curve having a circle as π/2-isoptic
Jean-Marc Richard observed in [7] that maximal perimeter of a parallelogram inscribed in a given ellipse can be realized by a parallelogram with one vertex at any prescribed point of ellipse. Alain Connes and Don Zagier gave in [4] probably the most elementary proof of this property of ellipse. Another proof can be found in [1]. In this note we prove that closed, convex curves having circles as π/2-isoptics have the similar property.
Partitioning Euclidean Space.
Petrie-Coxeter maps revisited.
Placing and moving spheres in the gaps of a cylinder packing.
Planes with analogues to Euclidean angular bisectors.
Pointed -surfaces
Let be a Riemann surface. Let be the -dimensional hyperbolic space and let be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping . If is a convex immersion, and if is its exterior normal vector field, we define the Gauss lifting, , of by . Let be the Gauss-Minkowski mapping. A solution to the Plateau problem is a convex immersion of constant Gaussian curvature equal to such that the Gauss lifting is complete and . In this paper, we show...
Point-reflections in metric plane.
Polyederfunktionale, die nicht translationsvariant, aber injektiv sind.
Polyèdres finis de dimension 2 à courbure et de rang 2
On définit localement la notion de polyèdre de rang deux pour un polyèdre fini de dimension deux à courbure négative ou nulle. On montre que le revêtement universel d’un tel espace est soit le produit de deux arbres, soit un immeuble de Tits euclidien de rang deux.
Polygonal Roulettes.
Polynomial functions on the classical projective spaces
The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions .
Ponceletsche Dreieckscharen.
Poučka o čtyrúhelníku z tětiv
Poznámka k tretej časti 18. Hilbertovho problému
Poznámka k úloze o trisekci úhlu
Poznámka k vypočítání obsahu trojbokého hranolu šikmého
Poznámka o čtyřúhelníku