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CCCG
2003
13 years 7 months ago
Partitioning Regular Polygons into Circular Pieces I: Convex Partitions
We explore an instance of the question of partitioning a polygon into pieces, each of which is as “circular” as possible, in the sense of having an aspect ratio close to
Mirela Damian-Iordache, Joseph O'Rourke
CCCG
2006
13 years 7 months ago
Characterization of Polygons Searchable by a Boundary 1-Searcher
Suppose intruders are in a dark polygonal room and they can move at a finite but unbounded speed, trying to avoid detection. A boundary 1-searcher can move along the polygon bounda...
Tsunehiko Kameda, John Z. Zhang, Masafumi Yamashit...
SIAMCO
2010
153views more  SIAMCO 2010»
13 years 1 months ago
Optimal Control for an Elliptic System with Polygonal State Constraints
This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, i...
Karl Kunisch, Kewei Liang, Xiliang Lu
EJC
2008
13 years 6 months ago
Some existence and construction results of polygonal designs
This paper revisits the existence and construction problems for polygonal designs (a special class of partially balanced incomplete block designs associated with regular polygons)...
Gargi Bhattacharyya, John Hegeman, Joohyung Kim, J...
JCDCG
1998
Springer
13 years 10 months ago
Efficient Regular Polygon Dissections
We study the minimum number g(m, n) (respectively, p(m, n)) of pieces needed to dissect a regular m-gon into a regular n-gon of the same area using glass-cuts (respectively, polygo...
Evangelos Kranakis, Danny Krizanc, Jorge Urrutia