Premove
White to premove a mate in 6.
SOLUTION
The sequence of moves is: 1. Qc6+ … 2. Kc5 … 3. Kb5 … 4. Qd7 … 5. Kb6 … 6. Qb7#
Category: Brain Teasers
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Pytagoras’ Classical Problem
Cut the piece below into three parts which can be rearranged into a square.
SOLUTION
The solution is shown below.
Toggle a Pixel
Toggle one pixel to make this equality correct.
SOLUTION
(71+1)×(71-1) = 7×6×…×2×1 = 7!
FEATURED
Eye of the Dragon
Divide the circle below in two pieces. Then, put the pieces together to get a circle with a dragon, such that the dragon’s eye is at the center of the new circle.
SOLUTION
The solution is shown below.
A Horse in Front, A Car Behind
You are sitting on a plane. There is a horse in front of you and a car behind you. Where are you?
SOLUTION
You are on a merry-go-round in an amusement park.
4-3-2-1
Move one red ball to turn the sequence 1-2-3-4 into 4-3-2-1.
SOLUTION
Take the second-to-last ball and place it between the first two balls on the left.
Charley and Wilma
Why despite killing dozens of people Charley and Wilma were not punished?
SOLUTION
Charley and Wilma were intense hurricanes which formed in August 2004 and October 2005 respectively.
Cut the Pizza
Cut a circular pizza into 12 congruent slices, such that exactly half of them contain crust.
Remark: We say that a slice contains crust if it shares an arc with the boundary of the pizza (with non-zero measure).
SOLUTION
First, cut the pizza into 6 congruent circular triangles, and then split each of them in half, as shown on the image below.
Saavedra Position
White to play. Is this game a win for White, Black, or a draw?
SOLUTION
This game is a win for White.
1. c7 Rd6+
2. Kb5 Rd5+
3. Kb4 Rd4+
4. Kb3 Rd3+
5. Kc2! Rd4!
6. c8=R! Ra4
7. Kb3
Now Black will either lose the rook, or get mated in one. If White promoted a Queen instead of a Rook, then 6… Rc4+ would lead to 7. Qxc4, which is a stalemate.
Open or Close
If you turn the handle of the top left gear clockwise, will the box in the bottom right open or close?
SOLUTION
The box will open.