Brief Announcement

Abstract

Imagine that we had a piece of matter that can change its physical properties like shape, density, conductivity, or color in a programmable fashion based on either user input or autonomous sensing. This is the vision behind what is commonly known as programmable matter. Many proposals have already been made for realizing programmable matter, ranging from DNA tiles, shape-changing molecules, and cells created via synthetic biology to reconfigurable modular robotics. We are particularly interested in programmable matter consisting of simple elements called particles that can compute, bond, and move, and the feasibility of solving fundamental problems relevant for programmable matter with these particles. As a model for that programmable matter, we will use a general form of the amoebot model first proposed in SPAA 2014, and as examples of fundamental problems we will focus on leader election and shape formation. For shape formation, we investigate the line formation problem, i.e. we are searching for a local-control protocol so that for any connected structure of particles, the particles will eventually form a line.