“Infinity fascinated her. How systems and universes could keep getting infinitely smaller in one direction and infinitely larger in another. How the shape of an atom so precisely mimicked the shape of the solar system. How there wasn't an end to anything.”

“I'm not putting up with this," she continued. "You can't even go out and buy a solar system without worrying I'll fall apart. How are you supposed to get anything done?""Actually, I'm not in the market for a solar system right at the moment.”

“If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos.”

“Then solar systems, galaxies, supernovas, infinite space itself will become elements of a final masterwork--a never-ending festival, a celestial amusement park in which every exploding star and spinning electron is part of the empyreal choreography.”

“But what did we really know, even of one another? We never thought of a future. Our small solar system - what was it heading towards? And how long would each of us mean something to the others?”

“While the Copernican principle comes with no guarantees that it will forever guide us to cosmic truths, it's worked quite well so far: not only is Earth not in the center of the solar system, but the solar system is not in the center of the Milky Way galaxy, the Milky Way galaxy is not in the center of the universe, and it may come to pass that our universe is just one of many that comprise a multiverse. And in case you're one of those people who thinks that the edge may be a special place, we are not at the edge of anything either.”