Pushing squares around

We study dynamic self-reconfiguration of modular metamorphic systems. We guarantee the feasibility of motion planning in a rectangular model consisting of square modules that are allowed to slide along or rotate about one another. That is, we show that any two connected configurations of the same number of modules can be transformed into each other by a sequence of moves so that all intermediate configurations are connected. This settles a conjecture formulated in [6]. Categories and Subject Descriptors F.2.2 [Nonnumerical Algorithms]: Geometric problems and computations—computations on discrete structures General Terms Algorithms, Theory Keywords Motion planning, rectangular metamorphic systems, reconfiguration

• Type: Conference
• Year: 2004
• Where: COMPGEOM
• Authors: Adrian Dumitrescu, János Pach
• Keywords: COMPGEOM 2004, Metamorphic Systems, Modular Metamorphic Systems, Motion Planning