Triangles in Euclidean Arrangements

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Triangles in Euclidean Arrangements

The number of triangles in arrangements of lines and pseudolines has been object of some research Most results however concern arrangements in the projective plane In this article we add results for the number of triangles in Euclidean arrange ments of pseudolines Though the change in the embedding space from projective to Euclidean may seem small there are interesting changes both in the resul...

متن کامل

Arrangements of Pseudocircles: Triangles and Drawings

A pseudocircle is a simple closed curve on the sphere or in the plane. The study of arrangements of pseudocircles was initiated by Grünbaum, who defined them as collections of simple closed curves that pairwise intersect in exactly two crossings. Grünbaum conjectured that the number of triangular cells p3 in digon-free arrangements of n pairwise intersecting pseudocircles is at least 2n−4. We p...

متن کامل

Simple Euclidean Arrangements with No (>= 5)-Gons

It is shown that if a simple Euclidean arrangement of n pseudolines has no (≥ 5)–gons, then it has exactly n − 2 triangles and (n − 2)(n − 3)/2 quadrilaterals. We also describe how to construct all such arrangements, and as a consequence we show that they are all stretchable.

متن کامل

Ideal triangles in Euclidean buildings and branching to Levi subgroups

Let G denote a connected reductive group, defined and split over Z, and let M ⊂ G denote a Levi subgroup. In this paper we study varieties of geodesic triangles with fixed vector-valued side-lengths α, β, γ in the Bruhat-Tits buildings associated to G, along with varieties of ideal triangles associated to the pair M ⊂ G. The ideal triangles have a fixed side containing a fixed base vertex and a...

متن کامل

Arrangements of Lines with a Large Number of Triangles

An arrangement of lines is constructed by choosing n diagonals of the regular 2/i-gon. This arrangement is proved to form at least n(n 3)/3 triangular cells.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete & Computational Geometry

سال: 1999

ISSN: 0179-5376

DOI: 10.1007/pl00009471