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  2. Roblox - Wikipedia

    en.wikipedia.org/wiki/Roblox

    Roblox is an online game platform and game creation system built around user-generated content and games, [1] [2] officially referred to as "experiences". [3] Games can be created by any user through the platform's game engine, Roblox Studio, [4] and then shared to and played by other players. [1]

  3. Geometry Dash - Wikipedia

    en.wikipedia.org/wiki/Geometry_Dash

    Three spin-off games accompany the main series: Geometry Dash Meltdown, Geometry Dash World and Geometry Dash SubZero. Geometry Dash Lite is a free version of the main game that removes certain levels and icons, the level editor, and many online features. Both the spin-off games and Geometry Dash Lite contain advertisements.

  4. Game physics - Wikipedia

    en.wikipedia.org/wiki/Game_physics

    A common aspect of computer games that model some type of conflict is the explosion. Early computer games used the simple expedient of repeating the same explosion in each circumstance. However, in the real world an explosion can vary depending on the terrain, altitude of the explosion, and the type of solid bodies being impacted.

  5. Signed distance function - Wikipedia

    en.wikipedia.org/wiki/Signed_distance_function

    In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space (such as the surface of a geometric shape), with the sign determined by whether or not x is in the interior of Ω.

  6. Metric space - Wikipedia

    en.wikipedia.org/wiki/Metric_space

    In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function called a metric or distance function. [1] Metric spaces are the most general setting for studying many of the concepts of mathematical analysis and geometry.

  7. Distance - Wikipedia

    en.wikipedia.org/wiki/Distance

    A metric or distance function is a function d which takes pairs of points or objects to real numbers and satisfies the following rules: The distance between an object and itself is always zero. The distance between distinct objects is always positive. Distance is symmetric: the distance from x to y is always the same as the distance from y to x.

  8. Talk:Distance - Wikipedia

    en.wikipedia.org/wiki/Talk:Distance

    This distance formula can be seen as a specialized form of the Pythagorean theorem; it can also be expanded into the arc-length formula. == Formal definition == A distance between two points P and Q in a metric space is d(P,Q), where d is the distance function that defines the given metric space.

  9. Chebyshev distance - Wikipedia

    en.wikipedia.org/wiki/Chebyshev_distance

    A sphere formed using the Chebyshev distance as a metric is a cube with each face perpendicular to one of the coordinate axes, but a sphere formed using Manhattan distance is an octahedron: these are dual polyhedra, but among cubes, only the square (and 1-dimensional line segment) are self-dual polytopes.

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