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math.MG2005
On the Density of Iterated Line Segment Intersections
Ansgar Gruene, Sanaz Kamali Sarvestani
Given S_1, a finite set of points in the plane, we define a sequence of point sets S_i as follows: With S_i already determined, let L_i be the set of all the line segments connecti…
math.MG2004
On the geometric dilation of closed curves, graphs, and point sets
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar Grüne +2
The detour between two points u and v (on edges or vertices) of an embedded planar graph whose edges are curves is the ratio between the shortest path in in the graph between u and…