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» Triangles in Euclidean Arrangements
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WG
1998
Springer
13 years 8 months ago
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 arti...
Stefan Felsner, Klaus Kriegel
COMPGEOM
1995
ACM
13 years 8 months ago
A New Technique for Analyzing Substructures in Arrangements
We present a simple but powerful new probabilistic technique for analyzing the combinatorial complexity of various substructures in arrangements of piecewise-linear surfaces in hig...
Boaz Tagansky
IJCAI
1993
13 years 5 months ago
Orientation and Qualitative Angle for Spatial Reasoning
Though arrangement knowledge is well suited for qualitative representations of spatial situations, if we only use this kind of knowledge, we cannot do interesting inferences about...
Longin Jan Latecki, Ralf Röhrig
CCCG
2010
13 years 6 months ago
Evading equilateral triangles without a map
Consider an arrangement of equilateral non-overlapping translated triangles in the plane and two points S and T so that the segment ST is parallel to a side of each of the triangl...
Braxton Carrigan
DIAGRAMS
2000
Springer
13 years 9 months ago
Case Analysis in Euclidean Geometry: An Overview
This paper gives a brief overview of FG, a formal system for doing Euclidean geometry whose basic syntactic elements are geometric diagrams, and which has been implimentented as th...
Nathaniel Miller