A Thargon slimship crash-lands on a Pacific island under the control of the infamous dictator General Papa Minn. When the Tomorrow People investigate, the crew claim they are on the run from Thargon slavers.
Flyn and Sula join up with Papa Minn, who agrees to help them construct a powerful ripple ray. John jaunts aboard the Thargon government ship, whose crew give a very different account of their quarry's nature.
The Tomorrow People all dream of a headless Highlander and suspect a new Tomorrow Person of breaking out. This is Andrew Forbes, a boy with the power to create illusions - but his father is far from pleased with his new abilities.
John, Liz and Mike jaunt to Glip's ship, but when Yagon and Cantor return, they use the barlamin to disable them. The only hope of stopping their plans lies with Andrew and Hsui Tai, but the barlamin has already robbed them of their powers.
A shopping trip sees Mike and Hsui Tai purchasing the new bubbleskin jumpsuits. When they subsequently exhibit strange behaviour, the other Tomorrow People wonder if there is more to the new fashion craze than meets the eye.
Mike comes to Andrew's rescue and manages to stun John and Liz, who are now under the control of the bubbleskins. When they discover John's suit has already begun to detach, they wonder if they could be on the way to a solution.