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Example of a nonogram puzzle being solved using crosses to mark logically-confirmed spaces. Some of the steps of the process are grouped together. To solve a puzzle, one needs to determine which cells will be boxes and which will be empty. Solvers often use a dot or a cross to mark cells they are certain are spaces.
A mostly complete puzzle. The phrase "connect the dots" can be used as a metaphor to illustrate an ability (or inability) to associate one idea with another—to find the "big picture", or salient feature, in a mass of data; [5] it can mean using extrapolation to solve a mystery from clues, or else come to a conclusion from various facts.
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.
Visual comparison may be used to solve the puzzle. The solution to the puzzle is often listed nearby or in an accompanying answer page of a puzzle book. Additionally, one can cross one's eyes and merge the two pictures into one, in the much the same way as when viewing an autostereogram picture. The differences will appear to blink in and out ...
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...
The Diabolical cube is a puzzle of six polycubes that can be assembled together to form a single 3×3×3 cube. Eye Level also makes use of the Thinking Cube (once students are in levels 30-32 of Basic Thinking Math or levels 29-32 of Critical Thinking Math), as one of its Teaching Tools, similar to the Soma cube.