Puzzler Henry Dudeney posed a famous problem, presenting the following situation. Suppose...
Puzzler Henry Dudeney posed a famous problem, presenting the following situation. Suppose that houses are located at points A, B, and C. We want to connect each house to water, electricity, and gas located at points W, G, and E without any of the pipes or wires crossing each other, (note:This problem is related to a branch of mathematics called graph theory.)
a. Try making all of the connections. Can it be clone? If so, how?
b. Suppose that the owner of one of the houses, say B, is willing to let the pipe for one of his neighbors’ connections pass through his house. Then can all of the connections be made? If so, how?
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