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Robot in a wooden maze. A maze-solving algorithm is an automated method for solving a maze.The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas the dead-end filling and shortest path algorithms are designed to be used by a person or computer program that can see the whole maze at once.
MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities.
Squaring the circle, the impossible problem of constructing a square with the same area as a given circle, using only a compass and straightedge. [7] Three cups problem – Turn three cups right-side up after starting with one wrong and turning two at a time. [8]
Because it was an educational computer system, most of the user community were keenly interested in games. In much the same way that the PLATO hardware and development platform inspired advances elsewhere (such as at Xerox PARC and MIT), many popular commercial and Internet games ultimately derived their inspiration from PLATO's early games.
Cornell University's Maze in a Box, a project to create 3D graphics using the Atmel Mega32 microcontroller, used the 3D Maze screensaver as inspiration. [2] In 2017, independent video game developer Cahoots Malone made Screensaver Subterfuge, a video game based on the screensaver created using assets from the original ssmaze.scr file.
In video game development, the door problem is an analogy about game design that summarizes the contrast between the perceived simplicity of implementing a trivial feature and the actual difficult nature of the task that becomes more apparent in a development process.
Some games, in an attempt to increase player immersion and reduce potential screen clutter, have most or all elements disappear when not needed (usually when the status they display is static), a method commonly referred to as a "dynamic HUD". In most cases, the player can display them all by pausing the game or pressing a button.
There are two main relaxations of QCQP: using semidefinite programming (SDP), and using the reformulation-linearization technique (RLT). For some classes of QCQP problems (precisely, QCQPs with zero diagonal elements in the data matrices), second-order cone programming (SOCP) and linear programming (LP) relaxations providing the same objective value as the SDP relaxation are available.