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math.OC2015
On the Optimality of Napoleon Triangles
Omur Arslan, Daniel E. Koditschek
An elementary geometric construction known as Napoleon's theorem produces an equilateral triangle built on the sides of any initial triangle: the centroids of each equilateral tria…
cs.RO2015★ 1 cited
Voronoi-Based Coverage Control of Heterogeneous Disk-Shaped Robots
Omur Arslan, Daniel E. Koditschek
In distributed mobile sensing applications, networks of agents that are heterogeneous respecting both actuation as well as body and sensory footprint are often modelled by recourse…