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» On Line Arrangements in the Hyperbolic Plane
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EJC
2002
13 years 10 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 10 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
14 years 9 days 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 5 months 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 11 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