Journal of Geometry
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Classification of some large sets and designs
Journal of Geometry - Tập 67 - Trang 105-110 - 2000
In this paper, we briefly introduce an algorithm, based on the standard basis of trades, which has proven successful in the complete classification of certain combinatorial objects.
Properties of the Kiss–Bíró configuration
Journal of Geometry - Tập 113 - Trang 1-23 - 2022
In the plane of a triangle ABC, by using the circumcenter O and the orthocenter H, we can naturally construct certain triangles DEF and
$$D'E'F'$$
that are similar to ABC. These triangles serve as a basis for the Kiss–Bíró configuration. Their circumcircles meet in the orthocenter, H, and also a r...... hiện toàn bộ
A note on projective coordinate systems of modular lattices
Journal of Geometry - Tập 46 - Trang 174-176 - 1993
This note clarifies the combinatorial nature of projective coordinate systems of modular upper continuous lattices. It generalizes the classical relationship between 3-dimensional Desarguesian configurations and coordinate systems of projective 3-spaces.
Flächen im isotropen s2×ℝ
Journal of Geometry - Tập 47 - Trang 141-154 - 1993
In [4] the author published the theory of curves in isotropic S2 × ℝ. New results of Pottmann [1] show, that isotropic geometry has a meaning in CAGD, especially in questions on scattered data and visualisation. These are not only considered in euclidean space, but also on manifolds. So it may be interesting to look at the theory of surfaces in isotropic manifolds. This will be done in this paper ...... hiện toàn bộ
Normalformen f�r Bewegungen in hyperbolischen R�umen
Journal of Geometry - Tập 23 Số 1 - Trang 61-71 - 1984
Recognition of plane paths and plane curves under linear pseudo-similarity transformations
Journal of Geometry - Tập 111 - Trang 1-24 - 2020
$$E^{2}_{1}$$
be the 2-dimensional pseudo-Euclidean space of index 1,
$$G=Sim_{L}(E^{2}_{1})$$
be the group of all linear pseudo-similarities of
$$E^{2}_{1}$$
and
$$G=Sim_{L}^{+}(E^{2}_{1})$$
be the group of all orientation-preserving linear pseudo-similarities of
$$E^{2}_{1}$$
. In this paper, groups
$$Sim_{GL}^{+}(E^{2}_{1})$$
and
$$Sim_{GL}(E^{2}_{1})$$
are defined. For the ...... hiện toàn bộ
Isohedra with nonconvex faces
Journal of Geometry - Tập 63 - Trang 76-96 - 1998
An isohedron is a 3-dimensional polyhedron all faces of which are equivalent under symmetries of the polyhedron. Many well known polyhedra are isohedra; among them are the Platonic solids, the polars of Archimedean polyhedra, and a variety of polyhedra important in crystallography. Less well known are isohedra with nonconvex faces. We establish that such polyhedra must be starshaped and hence of g...... hiện toàn bộ
The isoperimetric point and the point(s) of equal detour in a triangle
Journal of Geometry - Tập 87 - Trang 76-82 - 2008
A point P in the plane of triangle ABC is said to be an isoperimetric point if PA + PB + AB = PB + PC + BC = PC + PA + CA, and is said to be a point of equal detour if PA + PB − AB = PB + PC − BC = PC + PA − CA. Incorrect conditions for the existence and uniqueness of such points were given by G. R. Veldkamp in Amer. Math. Monthly
92
...... hiện toàn bộ
A homogeneous submanifold with nonzero parallel mean curvature vector in a Euclidean sphere
Journal of Geometry - - 2011
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