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» On Line Arrangements in the Hyperbolic Plane
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EJC
2002
13 years 5 months ago
On Line Arrangements in the Hyperbolic Plane
Andreas W. M. Dress, Jack H. Koolen, Vincent Moult...
JUCS
2002
92views more  JUCS 2002»
13 years 5 months ago
Tiling the Hyperbolic Plane with a Single Pentagonal Tile
: In this paper, we study the number of tilings of the hyperbolic plane that can be constructed, starting from a single pentagonal tile, the only permitted transformations on the b...
Maurice Margenstern
CCCG
2007
13 years 6 months ago
Capturing Crossings: Convex Hulls of Segment and Plane Intersections
We give a simple O(n log n) algorithm to compute the convex hull of the (possibly Θ(n2 )) intersection points in an arrangement of n line segments in the plane. We also show an a...
Esther M. Arkin, Joseph S. B. Mitchell, Jack Snoey...
SIAMDM
2010
194views more  SIAMDM 2010»
13 years 1 days ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
KDD
2002
ACM
170views Data Mining» more  KDD 2002»
14 years 5 months ago
On interactive visualization of high-dimensional data using the hyperbolic plane
: se the concept of visualizing general abstract data by intermediate projection into the hyperbolic space. Its favorable properties were reported earlier and led to the "hype...
Helge Ritter, Jörg A. Walter