Tag: Medium

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Is it true that for every closed curve in the plane, you can use a rope to recreate the layout, so that the rope can be untangled?
Said otherwise, you have to determine at each intersection point of the closed curve, which of the two parts goes over and which one goes under, so that there aren’t any knots in the resulting rope.

Start from any point of the curve and keep moving along it, so that at each non-visited intersection you go over, until you get back to where you started from.

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This is a puzzle which is best played with friends and real dice on a table. The rules require one of the players to throw 5 dice at once, and then answer correctly “how many petals there are around the rose”. The procedure gets repeated until everyone has discovered the secret rules of the puzzle or has given up.

How many throws do you need in order to figure out this classic puzzle?

There are 6 petals around the rose.

The roses are the middle dots on the dice, and the petals are the dots around them. Just count the number of all petals appearing on the five dice and you will get the answer. 1 -> 0, 2 -> 0, 3 -> 2, 4 -> 0, 5 - > 4, 6 -> 0.

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White to move and mate in 1.

Remark: There is only one correct answer.

The answer is Qa3#.

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A bus driver was heading down a street in Colorado. He went right past a stop sign without stopping, turned left where there was a “no left turn” sign, and went the wrong way on a one-way street. Then he went on the left side of the road past a cop car. Yet, he didn’t break any traffic laws.

Why not?

The bus driver was not driving his bus, he was walking.

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First, print and cut the pieces below. Then, arrange them so that they form a triangle and then rearrange them so that they form a square.

The solution is shown below.

What is fascinating about these dissections is that one can transform into the other by keeping the pieces attached to each other in a chain and simply rotating them around the hinge points.