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Karpal said, "Every point in this space encodes some kind of quasi-periodic pattern in the tiles. Each dimension represents a different characteristic size—like a wavelength, although the analogy's not precise. The position of each dimension represents other attributes of the pattern, relating to the particular tiles it employs. So the localized systems you see around you are clusters of a few billion patterns with broadly similar attributes at similar wavelengths."

They moved away from the swimming coral, into a swarm of something like jellyfish: floppy hyperspheres waving wispy tendrils (each one of them more substantial than Paolo). Tiny jewel-like creatures darted among them. Paolo was just beginning to notice that nothing moved here like a solid object drifting through normal space; motion seemed to entail a shimmering deformation at the leading hypersurface, a visible process of disassembly and reconstruction.

Karpal led him on through the secret ocean. There were helical worms, coiled together in groups of indeterminate number—each single creature breaking up into a dozen or more wriggling slivers, and then recombining… although not always from the same parts. There were dazzling multicolored stemless flowers, intricate hypercones of "gossamer-thin" fifteen-dimensional petals—each one a hypnotic fractal labyrinth of crevices and capillaries. There were clawed monstrosities, writhing knots of sharp insectile parts like an orgy of decapitated scorpions.

Paolo said, uncertainly, "You could give people a glimpse of this in just three dimensions. Enough to make it clear that there's… life in here. This is going to shake them up badly, though." Life-embedded in the accidental computations of Wang's Carpets, with no possibility of ever relating to the world outside. This was an affront to Carter-Zimmerman's whole philosophy: if nature had evolved "organisms" as divorced from reality as the inhabitants of the most inward-looking polis, where was the privileged status of the physical universe, the clear distinction between reality and illusion? And after three hundred years of waiting for good news from the Diaspora, how would they respond to this back on Earth?

Karpal said, "There's one more thing I have to show you "

He'd named the creatures squid, for obvious reasons. They were prodding each other with their tentacles in a way that looked thoroughly carnal. Karpal explained, "There's no analogue of light here. We're viewing all this according to ad hoc rules which have nothing to do with the native physics. All the creatures here gather information about each other by contact alone-which is actually quite a rich means of exchanging data, with so many dimensions. What you're seeing is communication by touch."

"Communication about what?"

"Just gossip, I expect. Social relationships."

Paolo stared at the writhing mass of tentacles.

"You think they're conscious?"

Karpal, point-like, grinned broadly. "They have a central control structure, with more connectivity than a citizen's brain, which correlates data gathered from the skin. I've mapped that organ, and I've started to analyze its function."

He led Paolo into another scape, a representation of the data structures in the "brain" of one of the squid. It was—mercifully—three-dimensional, and highly stylized, with translucent colored blocks to represent mental symbols, linked by broad lines indicating the major connections between them. Paolo had seen similar diagrams of citizens' minds; this was far less elaborate, but eerily familiar nonetheless.

Karpal said, "Here's the sensory map of its surroundings. Full of other squid's bodies, and vague data on the last known positions of a few smaller creatures. But you'll see that the symbols activated by the physical presence of the other squid are linked to these" —he traced the connection with one finger— "representations. Which are crude miniatures of this whole structure here."

"This whole structure" was an assembly labeled with gestalt tags for memory retrieval, simple tropisms, short-term goals. The general business of being and doing.

"The squid has maps, not just of other squid's bodies, but their minds as well. Right or wrong, it certainly tries to know what the others are thinking about. And" —he pointed out another set of links, leading to another, less crude, miniature squid mind— "it thinks about its own thoughts as well. I'd call that consciousness, wouldn't you?"

Paolo said weakly, "You've kept all this to yourself? You came this far, without saying a word—?"

Karpal was chastened. "I know it was selfish, but once I'd decoded the interactions of the tile patterns, I couldn't tear myself away long enough to start explaining it to anyone else. Arid I came to you first because I wanted your advice on the best way to break the news."

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