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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 or retracing any lines.
The "nine dots" puzzle (left) has the goal of linking all 9 dots using four straight lines or less, without lifting the pen. Its solution (right) is to draw those lines "outside the box". Since at least 1954, the nine dots puzzle has been used as a metaphor of the type "think beyond the boundary".
The emergence of connect the dots games in the printed press takes place in the early 20th century. These games were published with other puzzle games as pastime for children on the Sunday edition. While the first books containing connect the dots games exclusively were printed in 1926 by Ward, Lock & Co. [4] A mostly complete puzzle
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At each turn, the player chooses to add either a dot, or a cross, along the line they have just drawn. The duration of the game lays between (2n) and (5n − 2), depending on the number of dots or crosses having been added. For n = 1, starting with a dot, the game will end after 2 moves. Starting with a cross, it will end after 2 moves if the ...
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The problem consists of a 3 × 3 square created by 9 black dots. The task is to connect all 9 dots using exactly 4 straight lines, without retracing or removing one's pen from the paper. Kershaw & Ohlsson [29] report that in a laboratory setting with a time limit of 2 or 3 minutes, the expected solution rate is 0%.
Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively. A point on a line gives a combination of 2p and 5p for its given total (green).