Making shapes from modules by magnification

We present a distributed algorithm for creating a modular shape by magnification. The input to the algorithm is presented with a small scale version of the desired shape and a magnification factor m . The output of the system is the object that corresponds to the m-fold magnification of the input shape. We describe and analyze a distributed algorithm for this capability and present simulation results. Making shapes by magnification can be viewed as a programming interface for creating objects by programming matter.