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. Follow me?"
Great Aunt Tora interrupted. "Could you children continue this in the lounge? My feet hurt."
"Sorry, Great Aunt Will you take my arm?"
Back in the lounge Thorby said, "Did you soak up that about a point needing a line to hold it?"
"Uh, I think so. Take away its location and it isn't there at all."
"Think about a line. If it isn't in a surface, does it exist?"
"Uh, that's harder."
"If you get past that, you've got it A line is an ordered sequence of points. But where does the order come from? From being in a surface. It a line isn't held by a surface, then it could collapse into itself. It hasn't any width. You wouldn't even know it had collapsed . . . nothing to compare it with. But every point would be just as close to every other point, no 'ordered sequence.' Chaos. Still with me?"
"Maybe."
"A point needs a line. A line needs a surface. A surface has to be part of solid space, or its structure vanishes. And a solid needs hyperspace to hold it . . . and so on up. Each dimension demands one higher, or geometry ceases to exist. The universe ceases to exist." He slapped the table. "But it's here, so we know that multi-space still functions . . . even though we can't see it, any more than we can see a passing second."
"But where does it all stop?"
"It can't. Endless dimensions."
She shivered. "It scares me."
"Don't worry
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