TITLE: 3 Utilities | 3 Houses puzzle?
QUESTION [11 upvotes]: There's a puzzle where you have 3 houses and 3 utilities. You must draw lines so that each house is connected to all three utilities, but the lines cannot overlap. However, I'm fairly sure that the puzzle is impossible. How is this proved?

REPLY [3 votes]: Here is a fun solution to this problem:
(Gas is Internet in this case)

(As pointed out, this is not what the OP intended)