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We give an example of a set $P$ of $3 n$ points in $ℝ 3$ such that, for any partition of $P$ into triples, there exists a line stabbing $Ω (\sqrt{n})$ of the triangles determined by the triples.

On the arc length of parametric cubic curves.

Bancsik, Zsolt, Juhász, Imre (1999)

Journal for Geometry and Graphics

On the bisectors of weakly separable sets.

Mohamed, Hesham Abdelmoez, Abdelhafez, Yosef Aly Abas (2000)

Journal for Geometry and Graphics

On the Complexity of a Single Cell in Certain Arrangements of Surfaces Related to Motion Planning.

D. Halperin (1994)

Discrete & computational geometry

On the Construction of Abstract Voronoi Diagrams.

K. Mehlhorn, St. Meiser, C. ó'Dúnlaing (1991)

Discrete & computational geometry

On the Expected Number of k-Sets.

I. Bárány, W. Steiger (1994)

Discrete & computational geometry

On the Gaussian and mean curvature of certain surfaces.

Malkowsky, Eberhard, Veličković, Vesna (2001)

Novi Sad Journal of Mathematics

On the matrices of central linear mappings

Hans Havlicek (1996)

Mathematica Bohemica

We show that a central linear mapping of a projectively embedded Euclidean $n$ -space onto a projectively embedded Euclidean $m$ -space is decomposable into a central projection followed by a similarity if, and only if, the least singular value of a certain matrix has multiplicity $\geq 2 m - n + 1$ . This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates.

On the Number of Views of Polyhedral Terrains.

M. Sharir, P.K. Agarwal (1994)

Discrete & computational geometry

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