Plasmodium of Physarum polycephalum is a large cell, visible by unaided eye,
which exhibits sophisticated patterns of foraging behaviour. The plasmodium's
behaviour is well interpreted in terms of computation, where data are spatially
extended configurations of nutrients and obstacles, and results of computation
are networks of protoplasmic tubes formed by the plasmodium. In laboratory
experiments and numerical simulation we show that if plasmodium of Physarum is
inoculated in a maze's peripheral channel and an oat flake (source of
attractants) in a the maze's central chamber then the plasmodium grows toward
target oat flake and connects the flake with the site of original inoculation
with a pronounced protoplasmic tube. The protoplasmic tube represents a path in
the maze. The plasmodium solves maze in one pass because it is assisted by a
gradient of chemo-attractants propagating from the target oat flake