Circling a Triangle?

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I’m having trouble wrapping my head around this one:

You start from a given set point, and walk one mile in a straight line, then turn 60 degrees to the left. You then walk another mile in a straight line, and then turn 60 degrees to the left. Finally, you walk another mile, and finish with a 60 degree turn to the left. You are now back at your start point, facing the way you started. Then angles add up to a triangle, 180 degrees. But hasn’t your body done a 360?

In: Mathematics

7 Answers

Anonymous 0 Comments

Did anyone else try to visualize this and end up on the opposite side of half a hexagon facing backwards?

The only way the instructions would make sense to me as going around a triangle would be:

1. Walk forwards 1 mile in a straight line
2. Turn 60° to the right
3. Walk backwards 1 mile in a straight line
4. Turn 60° to the right
5. Walk forwards 1 mile in a straight line

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