Scientists call them “particle robots” but even their creators admit they share similarities with the “grey goo” that prompted a famous warning from the Prince of Wales.

Sixteen years ago Charles said advances in microscopic-scale engineering could lead to bacteria-sized machines laying waste to the Earth.

His fears were taken seriously by the Royal Society and Royal Academy of Engineering, which in 2003 launched an inquiry into the emerging science of nanotechnology.

Lord May, former Government chief scientist and then president of the Royal Society, insisted that the “grey goo” nightmare was even less likely to come true than cloning dinosaurs.

Now, US scientists have succeeded in creating simple cell-like robots that join together in large groups, move in a co-ordinated fashion and transport objects.

The particle robots are still far too big to be goo-like, measuring between 15.5 cm (6.1 inches) and 23.5 cm (9.2 inches) across.

But their behaviour has distinct echoes of the swarming nanobots that so scared the prince.

Professor Hod Lipson, head of the creative machines laboratory at Columbia University, New York, said: “You can think of our robot as the proverbial ‘grey goo’.

“Our robot has no single point of failure and no centralised control. It’s still fairly primitive, but we now know that this fundamental robot paradigm is actually possible.

“We think it may even explain how groups of cells can move together, even though individual cells cannot.”

The disc-shaped robots, loosely connected by magnets, can do nothing individually except expand and contract.

Without any external stimulus, they shuffle about randomly.

But when programmed to adjust their diameters in response to an environmental signal, they are collectively attracted to the signal’s source.

In experiments, a cluster of two dozen robots was made to sense a light and move towards it.

Computer simulations showed that 100,000 of the machines could navigate around obstacles towards a light source, and even transport objects placed in their midst.

They were also resilient to individual failure. Even when a fifth of the particles were “dead”, the swarm achieved its goal.

The magnets led to co-ordinated movement as the particles pushed and pulled one another.

Particles closer to the light source experience a brighter light and begin their expansion-contraction cycle earlier.

Royal tour of the Caribbean – Day 3
The Prince of Wales warned that the world could be overrun by ‘grey goo’ nanobots (Jane Barlow/PA)

Dr Shuguang Li, another member of the team from the Massachusetts Institute of Technology (MIT), explained: “That movement creates a sort of wave throughout the cluster, from the ones closer to the light to the ones further away, and that wave makes the entire cluster move towards the light.”

The aim of the project was to mimic the way biological cells behaved, said the scientists writing in the journal Nature.

Looking towards a nanotech future, Prof Lipson said: “We think it will be possible one day to make these kinds of robots from millions of tiny particles, like microbeads, that respond to sound or light or chemical gradient.

“Such robots could be used to do things like clean up areas or explore unknown terrains/structures.”