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Solution or Origin of logic puzzle

The constraints are rigorous; the dwarfs can not meet at either side, nor anywhere on the track. The puzzle suggests that they are able to communicate using buckets and rocks. Failing that... ...
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7 votes
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Find the best plan for White

White can win with the move Then, if black plays d2, white plays If black plays e2 first, then white plays If black plays f3, then white plays The general strategy is to If black plays Ra8, white ...
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3 votes

The mower's challenge

Here's a strategy with speed I believe the optimal speed is an infimum rather than a minimum.
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4 votes

The mower's challenge

Better solution: It can be done when the mower is: A slower speed than this is definitely still possible. We'll say the left intersection has $LU$ and $LD$ of grass heading up and down respectively, ...
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4 votes

Catch the invisible and omniscient thief

Fun fact (partially related to the puzzle). What if the thief has infinite speed, but there is more than one cop (cops communicate with each other and work together)?
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Catch the invisible and omniscient thief

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2 votes

Catch the invisible and omniscient thief

As Florian F established, if the thief is able to reach the center of an intersection that has three or more edges, the cop cannot ever catch the thief as the thief can always dance around the center, ...
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2 votes

Catch the invisible and omniscient thief

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2 votes

Catch the invisible and omniscient thief

Lets invert numbers and say thief speed and set to 1, and v is cop speed. Easier for me that way. Vertices are labeled A1-D4, roads are labeled BC3 meaning road ...
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1 vote

Catch the invisible and omniscient thief

I believe the answer if $S_t$ if $S_t$ I believe the more original question would be
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Catch the invisible and omniscient thief

I think the answer is For this reason:
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5 votes

Catch the invisible and omniscient thief

Just to show that dodging around the intersection isn't enough, consider the simpler city when there is just one intersection, four roads that go a unit distance away from it, and $S_c > 7*S_t$. ...
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6 votes

Catch the invisible and omniscient thief

I have to remove my post about the idea of escaping the cop by hanging around an intesection. Despite concluding that it is in fact not valid, people still refer to it as valid Instead, as explained ...
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