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The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen.
The puzzle consists of five rooms, which can be thought of as being connected by doorways. The five-room puzzle is a classical, [1] popular puzzle involving a large rectangle divided into five "rooms". The objective of the puzzle is to cross each "wall" of the diagram with a continuous line only once. [2]
Instant Insanity puzzle in the "solved" configuration. From top to bottom, the colors on the back of the cubes are white, green, blue, and red (left side), and blue, red, green, and white (right side) Nets of the Instant Insanity cubes – the line style is for identifying the cubes in the solution
Each valid solution to the puzzle arranges the blocks in an approximate 3 × 3 × 3 grid of blocks, with the sides of the blocks all parallel to the sides of the outer cube, and with one block of each width along each axis-parallel line of three blocks. Counting reflections and rotations as being the same solution as each other, the puzzle has ...
The earliest of several probability puzzles related to the Monty Hall problem is Bertrand's box paradox, posed by Joseph Bertrand in 1889 in his Calcul des probabilités. [67] In this puzzle, there are three boxes: a box containing two gold coins, a box with two silver coins, and a box with one of each.
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An important part of the puzzle, but one that is often not stated explicitly in informal wordings of the puzzle, is that the houses, companies, and lines must all be placed on a two-dimensional surface with the topology of a plane, and that the lines are not allowed to pass through other buildings; sometimes this is enforced by showing a ...
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