Square root of 2The square root of 2 (approximately 1.4142) is the positive real number that, when multiplied by itself or squared, equals the number 2. It may be written as 2{\displaystyle {\sqrt {2}}} or 21/2{\displaystyle 2^{1/2}}. It is an algebraic number, and therefore not a transcendental number. Technically, it should be called the principalsquare root of 2, to distinguish it from the negative number with the same property.
Cardinal directionThe four cardinal directions or cardinal points are the four main compass directions: north (N), east (E), south (S), and west (W). The corresponding azimuths (clockwise horizontal angle from north) are 0°, 90°, 180°, and 270°. The four ordinal directions or intercardinal directions are northeast (NE), southeast (SE), southwest (SW), and northwest (NW). The corresponding azimuths are 45°, 135°, 225°, and 315°.
Game boardA game board (or gameboard; sometimes, playing board or game map) is the surface on which one plays a board game. The oldest known game boards may date to Neolithic times; however, some scholars argue these may not have been game boards at all. Early Bronze Age artifacts are more universally recognized as game boards (for games such as Egyptian senet and mehen, and the MesopotamianRoyal Game of Ur).
WargameA normal wargame is a strategy game in which two or more players command opposing armed forces in a simulation of an armed conflict. Wargaming may be played for recreation, to train military officers in the art of strategic thinking, or to study the nature of potential conflicts. Many wargames re-create specific historic battles, and can cover either whole wars, or any campaigns, battles, or lower-level engagements within them.
Strategy gameA strategy game or strategic game is a game in which the players' uncoerced, and often autonomous, decision-making skills have a high significance in determining the outcome. Almost all strategy games require internal decision tree-style thinking, and typically very high situational awareness. Strategy games are also seen as a descendant of war games, and define strategy in terms of the context of war, but this is more partial.
Role-playing gameA role-playing game (sometimes spelled as roleplaying game or abbreviated as RPG) is a game in which players assume and play out the roles of characters in a fictional setting. Players take responsibility for acting out these roles within a narrative, either through literal acting or through a process of structured decision-making regarding character development. Actions taken within many games succeed or fail according to a formal system of rules and guidelines.
Regular polygonEdges and verticesn{\displaystyle n}Schläfli symbol{n}{\displaystyle \{n\}}Coxeter–Dynkin diagramSymmetry groupDn, order 2nDual polygonSelf-dualArea (with side length s{\displaystyle s})A=14ns2cot(πn){\displaystyle A={\tfrac {1}{4}}ns^{2}\cot \left({\frac {\pi }{n}} ight)}Internal angle(n−2)×πn{\displaystyle (n-2)\times {\frac {\pi }{n}}}Internal angle sum(n−2)×π{\displaystyle \left(n-2 ight)\times {\pi }}Inscribed circle diameterdIC=scot(πn){\displaystyle d_{\text{IC}}=s\cot \left({\frac {\pi }{n}} ight)}Circumscribed circle diameterdOC=scsc(πn){\displaystyle d_{\text{OC}}=s\csc \left({\frac {\pi }{n}} ight)}PropertiesConvex, cyclic, equilateral, isogonal, isotoxalIn Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
HexagonIn geometry, a hexagon (from Greekἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagonA regular hexagon is defined as a hexagon that is both equilateral and equiangular. Its internal angle is one-third of a circle, equal to 120°. The Schläfli symbol denotes this polygon as {6}{\displaystyle \{6\}}.
Hexagonal tilingIn geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling). English mathematician John Conway called it a hextille. The internal angle of the hexagon is 120 degrees, so three hexagons at a point make a full 360 degrees. It is one of three regular tilings of the plane.
Board gameTabletop social gameThe board game Monopoly is licensed in 103 countries and printed in 37 languages.Young girls playing Alias in a library at Iisalmi, Finland, 2016The board game is a type of tabletop game that involves small objects (game pieces) that are placed and moved in particular ways on a specially designed patterned game board, potentially including other components, e.g. dice.
Video gameElectronic game with user interface and visual feedback"Computer game" redirects here. For games played on personal computers, see PC game.Simulation video gameSimulation video games, also abbreviated as "sims", are a diverse super-category of video games, generally designed to closely simulate real world activities. A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment. Usually, there are no strictly defined goals in the game, and the player is allowed to control a character or environment freely.*As an Amazon Associate I earn from qualifying purchases.