Given n unit-sized robots contained within a square grid surrounded by four walls, we ask
the question of whether it is possible to move a particular robot a to a specific grid location b …

This paper investigates a simplified model of robot motion planning where particles on a
board respond to global signals, causing them to move uniformly in a particular direction …

This paper examines a family of designs for magnetic cubes and counts how many
configurations are possible for each design as a function of the number of modules …

We investigate the reconfiguration of $ n $ blocks, or" tokens", in the square grid using" line
pushes". A line push is performed from one of the four cardinal directions and pushes all …

In micro-and nano-scale systems, particles can be moved by using an external force like
gravity or a magnetic field. In the presence of adhesive particles that can attach to each …

Given n robots contained within a square grid surrounded by four walls, we ask the question
of whether it is possible to move a particular robot a to a particular grid location b by …

Relocation in the square is the most basic open question related to the tilt model with unit
moves under global uniform movement. It is open even with limited directions. We prove that …