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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.
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 ...
Other puzzles challenge the solver to rearrange a crude matchstick picture. [2] Some matchstick puzzles require lateral thinking, such as changing a number into a mathematical symbol. [3] Puzzles may also be set with no starting position, simply challenging the solver to create an arrangement using a number of matches.
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 missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.
A zero-knowledge proof for the puzzle was published in Jun 2016. [14] [15] The puzzle was adapted for modeling quantum agents. [16] Mathematicians of Dutch university (PH Utomo and RH Makarim) proposed three different approaches to solve binary puzzles: using backtrack-based search, SAT solvers, and Gröbner bases algorithms. [17]