Abstract

This paper introduces a new method for enumeration of all non-isomorphic square metamorphic robot configurations. Two new graphs for square metamorphic robots are introduced. New algorithms used to obtain these graphs are presented. The method was implemented in C++ and the results are presented for 12 square modules. A new graph representation for cubic metamorphic robots is also introduced. With this representation, the new enumeration method is extended to cubic metamorphic robots. The obtained results are presented for 5 cubic modules.

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