Water Towers
By: John Curtice
Description: Water Towers is a game based upon the principles of equilibrium. The
set up consists of towers full of water and chutes that connect the towers together.
The ultimate goal of each player is to be the one who creates a state of equilibrium
in the system and can be played by any number of people individually or as part of
teams. Upon each turn, each player or team has a variety of options. They can
either build a tower, build a chute, change the direction of water flow, increase the
rate of water flow in the same direction by one, or decrease the rate of water flow in
the same direction by one. This game is the most fun when played with actual
materials, but the construction of such a game is inhibiting considering the intricacy
of maintaining constant water flow and monitoring a state of equilibrium.
Objective: The ultimate goal of the game is to be the person who creates equilibrium
in the system. This means that at the end of that person’s turn, the net flow in and
out of every water tower is equal to zero. All water towers must also be connected
by chutes, so that the system is closed.
Mathematical Model: In order to play this game, it is most effective to create a
model. This model consists of nodes connected by edges. It is commonly referred to
as a graph. Graphs of this kind can display a function in the form of f(x) but to play
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 Fall '11
 Gymrek
 Math, Graph Theory, ax, water flow

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