"But you'd have to be in five-dimensional space to do that," objected Gary.
"No, you wouldn't," contended the old man. "Scattered throughout three-dimensional space are ether eddies and time faults and space traps — call them anything you like. They are a common phenomena and they're nothing more, when you come right down to it, than isolated bits of four-dimensional space scattered around through three-dimensional space.
The same thing would apply to a fifth dimension in the fourth dimension.”
"But how," asked Caroline, "would one go about it? How would one rotate a hypersphere through the fifth dimension?”
Again Gary had that sense of confusion as the thoughts of the ancient one swept over him, thoughts that translated themselves into symbols and equations and brackets of mathematics that it seemed impossible any man could know.
"Gary," gasped Caroline, "have you a pencil and some paper?”
Gary fumbled in his pocket and found an old envelope and a stub of pencil.
He handed them to her.
"Please repeat that very slowly," she said, smiling at the old man.
Gary watched in amazement as Caroline, slowly and carefully, jotted down the formulas, equations, symbols — carefully checking and going over them, checking and rechecking so there could be no mistake.