text: > Describe the surroundings
  This is more of an abstract space than a physical place. It feels far, far beyond your understanding, though. Even the language needed to describe it seems beyond your comprehension.
  
  You can see a large glass booth, about the size of an old telephone box.
  
  You can also see Srinivasa Ramanujan here.
  
  > Go upwards
  You make your way up.
  
  The dark blue expanse of space now contains a plane that stretches as far as you can see in all directions. It includes both the real axis you are standing on and the imaginary axis you can see off in the distance, and it is filled with starry, twinkling lights.
  
  > go east
  Real Axis: 1
  The dark blue expanse of space now contains a plane that stretches as far as you can see in all directions. It includes both the real axis you are standing on and the imaginary axis you can see off in the distance, and it is filled with starry, twinkling lights.
  
  > set the dial to reciprocal
  You turn the dial to "Reciprocal." Some of the numbers on the golden path change. The warning light is still dark.
  
  > look up reciprocal
  (in your math book)
  The reciprocal of a number is its multiplicative inverse. For example, the reciprocal of 7 is 1/7.
  
  > look at path
  The path is level with the floor of the room you are currently in. It consists of golden steps that seem to run on forever. Each step has two numbers appearing on it, although from here you can only read the numbers on the six closest steps. The first numbers on the steps are 1, 1/2, 1/3, 1/4, 1/5, and 1/6. The second numbers are 1, 3/2, 11/6, 25/12, 137/60, and 49/20.
  
  > Go south
  As you approach the golden path you take another look at it.
  
  The path is level with the floor of the room you are currently in. It consists of golden steps that seem to run on forever. Each step has two numbers appearing on it, although from here you can only read the numbers on the six closest steps. The first numbers on the steps are 1, 1/2, 1/3, 1/4, 1/5, and 1/6. The second numbers are 1, 3/2, 11/6, 25/12, 137/60, and 49/20.
  
  Just before you reach the path, though, it shifts: The heights of the steps change. The first step is now up. After that, the path rises very gradually. In fact, it's such a gradual rise that it's hard to tell whether the path is leveling out or continuing to climb.
  
  Then you walk out onto the path. The limit shoes react to the contact with the first step: They propel you to the next step, and the next, and the next - faster and faster. Soon you are moving so fast the path is a blur, and then you can't even see it anymore.
  
  You find yourself hurtling through space, only to land in...
  Infinity
  This is more of an abstract space than a physical place. It feels far, far beyond your understanding, though. Even the language needed to describe it seems beyond your comprehension.
  
  You can see a large glass booth, about the size of an old telephone box.
  
  You can also see Srinivasa Ramanujan here.
  
  Ramanujan smiles at you. "Well done," he says. "The harmonic series, consisting of the sum of the reciprocals of the positive integers, rises extremely slowly. Yet it does eventually become arbitrarily large, so that we can say its limit is infinity.
  
  "Now, to keep my promise. Tell the desk clerk that he needs to double the room numbers in the register."
  
  > talk to clerk
  "I'm sorry, but I don't have time to chat. I've got to keep incrementing everyone who already has a room to the next higher-numbered room so that a new guest can take Room 1. Now, if you'll please excuse me, I've got to get back to work."
  
  Once again, the desk clerk points his fountain pen at the guest register and says, "Increment!" Then he runs over to the double doors, opens them just enough to let the next person in line into the lobby, closes them again, and runs back to his desk. The guest wanders off into the depths of the hotel.
  
  > say double
  (to the desk clerk)
  You walk over to the clerk and suggest that instead of incrementing each guest's room number he should double it.
  
  The clerk stops what he's doing and looks at you quizzically. "Double them?" he asks. "That's not what I was told to do. Why should I do that?"
  
  "Ramanujan suggested it," you reply. "Ramanujan? Really?"
  He thinks for a while. "This incrementing is going to take forever. All right. I'll try doubling."
  
  He points his fountain pen at the guest register and says, "Double!" Each guest's room number doubles, so that if a guest has room number n, they now have room number 2n.
  
  "This leaves all the odd-numbered rooms available!" says the clerk. "And since there are infinitely many odd numbers..."
  
  He runs to the double doors and throws them wide open. The line of people comes streaming into the lobby, and each goes off to take a different odd-numbered room. Soon all of the people are gone.
  
  "Nice! And thanks!" says the clerk. "I think I'll take my break now."
  
  He grabs the guest register and walks off into the hotel. It looks like you're now free to go through the double doors to the west.
  
  [Your understanding of Infinity has increased. You estimate
  that your score on tomorrow's final has just gone up by two
  points.]
  
  > go to the west
  The courtyard, with its flowering trees and carefully-manicured lawns, is just as elegant as the interior of the grand hotel. A set of glass double doors leads east into the hotel.
  
  One of the guests has dropped a short brass rod in the courtyard.
  
  > look at the rod
  This brass rod is short and, for a rod, relatively thick. It has the number 69,105 written on it.
  
  > get it
  (putting Descartes's saying into the set to make room)
  Taken.
  
  > examine the lawns
  Keeping these lawns green and trimmed must require a small army of gardeners.
  
  > examine the trees
  They're beautiful - but purely ornamental.
  
  > Go west
  From here, the only exit is east.