HyperRogue
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HyperRogue
''HyperRogue'' is an independent video game developed by Zeno Rogue. It is a roguelike inspired by the puzzle game ''Deadly Rooms of Death'' and the art of M. C. Escher, taking place in the hyperbolic plane. Gameplay ''HyperRogue'' is a turn-based game in which the player controls one character exploring a world based on hyperbolic geometry, with cells arranged as a truncated order-7 triangular tiling by default (with a few exceptions). The player can also choose to play on some other tilings and honeycombs in two and three dimensions, in all eight Geometrization conjecture#The eight Thurston geometries, Thurston geometries, along with a variety of quotient space (topology), quotient spaces. It borrows procedural generation and permadeath from the roguelike genre, and puzzle-based combat from ''Deadly Rooms of Death''. The world consists of 72 lands, each of which has a different theme, treasure, enemies, mechanics, and a magical power; the lands are usually separated by hyp ...
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Non-Euclidean Geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras, which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point ''A'', which is not on , there is exactly one line through ...
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Deadly Rooms Of Death
''Deadly Rooms of Death'' (DROD) is a computer puzzle game. It was created by Erik Hermansen in 1996 and has been regularly extended since then. The original version of the game published by Webfoot Technologies is no longer available. In 2000 the author reacquired the rights to DROD from Webfoot and released the source code; he continues the support and development as "Caravel DROD". Plot King Dugan has a problem. He let his guards eat their meals down in the dungeon, and they spread crumbs all over the place, so suddenly his lovely dungeons are swarming with cockroaches, not to mention goblins, serpents, evil eyes, and other nasty things. It's really gotten out of hand. Beethro Budkin, dungeon exterminator extraordinaire and the main protagonist, is called to the castle and, after a short briefing by Dugan, thrown into the dungeon with the doors locked securely after him. With only a "Really Big Sword™" at his disposal, it's up to our hero to clear the place, so that the priso ...
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Truncated Order-7 Triangular Tiling
In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex, forming a pattern similar to a conventional soccer ball (truncated icosahedron) with heptagons in place of pentagons. It has Schläfli symbol of t. Hyperbolic soccerball (football) This tiling is called a hyperbolic soccerball (football) for its similarity to the truncated icosahedron pattern used on soccer balls. Small portions of it as a hyperbolic surface can be constructed in 3-space. Dual tiling The dual tiling is called a ''heptakis heptagonal tiling'', named for being constructible as a heptagonal tiling with every heptagon divided into seven triangles by the center point. : Related tilings This hyperbolic tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configuration In geometry, a vertex configuration
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Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ...
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Hyperbolic Plane
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ...
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Check (chess)
In chess and similar games, check is a condition that occurs when a player's king is under threat of on the opponent's next turn. A king so threatened is said to be in check. A player must get out of check if possible by moving the king to a safe square, interposing a piece between the threatening piece and the king, or capturing the threatening piece. If the player cannot get out of check by any of these options, the game ends in checkmate, and the player loses. Players cannot make any move that puts their own king in check. Many chess variants feature check, such as shogi, xiangqi, and janggi. Overview A check is the result of a move that places the opposing king under an immediate threat of capture by one (or occasionally two) of the player's pieces. Making a move that checks is sometimes called "giving check". Even if a piece is pinned against the player's own king, it may still give check. For example, in the diagrammed position, White has just played Be4+, simultane ...
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Chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to distinguish it from related games, such as xiangqi (Chinese chess) and shogi (Japanese chess). The recorded history of chess goes back at least to the emergence of a similar game, chaturanga, in seventh-century India. The rules of chess as we know them today emerged in Europe at the end of the 15th century, with standardization and universal acceptance by the end of the 19th century. Today, chess is one of the world's most popular games, played by millions of people worldwide. Chess is an abstract strategy game that involves no hidden information and no use of dice or cards. It is played on a chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player controls sixteen pieces: one king, one queen, two rooks, t ...
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Sandworm (Dune)
A sandworm is a fictional Extraterrestrial life, extraterrestrial creature that appears in the Dune (franchise), ''Dune'' novels written by Frank Herbert, first introduced in ''Dune (novel), Dune'' (1965). Sandworms are colossal, worm-like creatures that live on the desert planet Arrakis. The sandworms' larvae produce a drug called Melange (fictional drug), melange (known colloquially as "the spice"), the most essential and valuable commodity in the universe because it makes safe and accurate interstellar travel possible. Melange deposits are found in the sand seas of Arrakis, where the sandworms live and hunt, and harvesting the spice from the sand is a dangerous activity because sandworms are aggressive and territorial. Harvesting vehicles must be airlifted in and out of the sand sea in order to evade sandworm attacks. The struggle over the production and supply of melange is a central theme of the ''Dune'' saga. Conception The sandworms in ''Dune'' were inspired by the Eur ...
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Microsoft Windows
Windows is a group of several proprietary graphical operating system families developed and marketed by Microsoft. Each family caters to a certain sector of the computing industry. For example, Windows NT for consumers, Windows Server for servers, and Windows IoT for embedded systems. Defunct Windows families include Windows 9x, Windows Mobile, and Windows Phone. The first version of Windows was released on November 20, 1985, as a graphical operating system shell for MS-DOS in response to the growing interest in graphical user interfaces (GUIs). Windows is the most popular desktop operating system in the world, with 75% market share , according to StatCounter. However, Windows is not the most used operating system when including both mobile and desktop OSes, due to Android's massive growth. , the most recent version of Windows is Windows 11 for consumer PCs and tablets, Windows 11 Enterprise for corporations, and Windows Server 2022 for servers. Genealogy By marketing ...
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Procedurally Generated
In computing, procedural generation is a method of creating data algorithmically as opposed to manually, typically through a combination of human-generated assets and algorithms coupled with computer-generated randomness and processing power. In computer graphics, it is commonly used to create textures and 3D models. In video games, it is used to automatically create large amounts of content in a game. Depending on the implementation, advantages of procedural generation can include smaller file sizes, larger amounts of content, and randomness for less predictable gameplay. Procedural generation is a branch of media synthesis. Overview The term ''procedural'' refers to the process that computes a particular function. Fractals are geometric patterns which can often be generated procedurally. Commonplace procedural content includes textures and meshes. Sound is often also procedurally generated, and has applications in both speech synthesis as well as music. It has been used to ...
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Bridges Conference
The Bridges Organization is an organization that was founded in Kansas, United States, in 1998 with the goal of promoting interdisciplinary work in mathematics and art. The Bridges Conference is an annual conference on connections between art and mathematics. The conference features papers, educational workshops, an art exhibition, a mathematical poetry reading, and a short movie A short film is any motion picture that is short enough in running time not to be considered a feature film. The Academy of Motion Picture Arts and Sciences defines a short film as "an original motion picture that has a running time of 40 minutes ... festival. List of Bridges conferences References External links * 1998 establishments in Kansas Arts organizations established in 1998 Arts organizations based in Kansas Mathematics organizations Mathematics and art {{US-arts-org-stub ...
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Rock, Paper, Shotgun
''Rock Paper Shotgun'' (also rendered ''Rock, Paper, Shotgun''; short ''RPS'') is a UK-based website for reporting on video games, primarily for PC. Originally launched on 13 July 2007 as an independent site, ''Rock Paper Shotgun'' was acquired and brought into the Gamer Network, a network of sites led by ''Eurogamer'' in May 2017. Its editor-in-chief is Katharine Castle and its deputy editor is Alice Bell. Contributors ''Rock Paper Shotgun'' was founded by Kieron Gillen, Jim Rossignol, Alec Meer and John Walker in 2007. All four were freelancing for Future Publishing, and decided they wanted to create a website focused entirely on games for PC. Gillen announced that he would no longer be involved in posting the day-to-day content of ''Rock Paper Shotgun'' in 2010, focusing more on his work with Marvel Comics, but would continue to act as a director and occasionally write essay pieces for the site. Rossignol founded his own game studio Big Robot in 2010, but also continued ...
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