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Maze Generation Algorithm
Maze generation algorithms are automated methods for the creation of mazes. Graph theory based methods A maze can be generated by starting with a predetermined arrangement of cells (most commonly a rectangular grid but other arrangements are possible) with wall sites between them. This predetermined arrangement can be considered as a connected graph with the edges representing possible wall sites and the nodes representing cells. The purpose of the maze generation algorithm can then be considered to be making a subgraph in which it is challenging to find a route between two particular nodes. If the subgraph is not connected, then there are regions of the graph that are wasted because they do not contribute to the search space. If the graph contains loops, then there may be multiple paths between the chosen nodes. Because of this, maze generation is often approached as generating a random spanning tree. Loops, which can confound naive maze solvers, may be introduced by a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prim Maze 3D
Prim may refer to: People *Prim (given name) *Prim (surname) Places * Prim, Virginia, unincorporated community in King George County *Dolní Přím, village in the Czech Republic; as Nieder Prim (Lower Prim) site of the Battle of Königgrätz *Saint-Prim, commune in Isère, France *Prim (Neckar), river in Baden-Württemberg, Germany, tributary of the Neckar *Prims, river in Rhineland-Palatinate, Germany, tributary of the Saar Other *Prim, a type of ''tamburica'' (musical instrument) *Prim or Primost, a Norwegian cheese *Prim, abbreviation for Primitive Methodist *Prim's algorithm for minimum spanning tree, developed by Robert C. Prim *PRIM (watches), a Czech trademark *Graham Street Prims F.C., football club in Derby, England * In computers, a geometric primitive, or prim, is a simple shape used in 3D modeling to build into more complex objects. ** A Sculpted prim, in Second Life, is a 3D parametric object whose 3D shape is determined by a texture, more advanced than the game's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chamber
Chamber or the chamber may refer to: In government and organizations *Chamber of commerce, an organization of business owners to promote commercial interests *Legislative chamber, in politics *Debate chamber, the space or room that houses deliberative assemblies such as legislatures, parliaments, or councils. In media and entertainment *Chamber (comics), a Marvel Comics superhero associated with the X-Men *Chamber music, a form of classical music, written for a small group of instruments which traditionally could be accommodated in a palace chamber * ''The Chamber'' (game show), a short-lived game show on FOX * ''The Chamber'' (novel), a suspense novel by John Grisham ** ''The Chamber'' (1996 film), based on the novel * ''The Chamber'' (2016 film), a survival film directed by Ben Parker * , a musical ensemble from Frankfurt, Germany-based around vocalist/guitarist Marcus Testory Other *Chamber (firearms), the portion of the barrel or firing cylinder in which the cartridge is inse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Loop-erased Random Walk
In mathematics, loop-erased random walk is a model for a random simple path with important applications in combinatorics, physics and quantum field theory. It is intimately connected to the uniform spanning tree, a model for a random tree. See also ''random walk'' for more general treatment of this topic. Definition Assume ''G'' is some graph and \gamma is some path of length ''n'' on ''G''. In other words, \gamma(1),\dots,\gamma(n) are vertices of ''G'' such that \gamma(i) and \gamma(i+1) are connected by an edge. Then the loop erasure of \gamma is a new simple path created by erasing all the loops of \gamma in chronological order. Formally, we define indices i_j inductively using :i_1 = 1\, :i_=\max\+1\, where "max" here means up to the length of the path \gamma. The induction stops when for some i_j we have \gamma(i_j)=\gamma(n). Assume this happens at ''J'' i.e. i_J is the last i_j. Then the loop erasure of \gamma, denoted by \mathrm(\gamma) is a simple path of length ''J'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discrete Uniform Distribution
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein a finite number of values are equally likely to be observed; every one of ''n'' values has equal probability 1/''n''. Another way of saying "discrete uniform distribution" would be "a known, finite number of outcomes equally likely to happen". A simple example of the discrete uniform distribution is throwing a fair dice. The possible values are 1, 2, 3, 4, 5, 6, and each time the die is thrown the probability of a given score is 1/6. If two dice are thrown and their values added, the resulting distribution is no longer uniform because not all sums have equal probability. Although it is convenient to describe discrete uniform distributions over integers, such as this, one can also consider discrete uniform distributions over any finite set. For instance, a random permutation is a permutation generated uniformly from the permutations of a given length, and a unif ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prim's Algorithm
In computer science, Prim's algorithm (also known as Jarník's algorithm) is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. The algorithm operates by building this tree one vertex at a time, from an arbitrary starting vertex, at each step adding the cheapest possible connection from the tree to another vertex. The algorithm was developed in 1930 by Czech mathematician Vojtěch Jarník and later rediscovered and republished by computer scientists Robert C. Prim in 1957 and Edsger W. Dijkstra in 1959. Therefore, it is also sometimes called the Jarník's algorithm, Prim–Jarník algorithm, Prim–Dijkstra algorithm. or the DJP algorithm.. Other well-known algorithms for this problem include Kruskal's algorithm and Borůvka's algorithm. These algorithms find the minimum spanning forest in a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MAZE 30x20 Prim
A maze is a path or collection of paths, typically from an entrance to a goal. The word is used to refer both to branching tour puzzles through which the solver must find a route, and to simpler non-branching ("unicursal") patterns that lead unambiguously through a convoluted layout to a goal. The term "labyrinth" is generally synonymous with "maze", but can also connote specifically a unicursal pattern. The pathways and walls in a maze are typically fixed, but puzzles in which the walls and paths can change during the game are also categorised as mazes or tour puzzles. Construction Mazes have been built with walls and rooms, with hedges, turf, corn stalks, straw bales, books, paving stones of contrasting colors or designs, and brick, or in fields of crops such as corn or, indeed, maize. Maize mazes can be very large; they are usually only kept for one growing season, so they can be different every year, and are promoted as seasonal tourist attractions. Indoors, mirror ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
