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A two-dimensional Poincaré section of the forced Duffing equation. In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system.
A Poincaré plot, named after Henri Poincaré, is a graphical representation used to visualize the relationship between consecutive data points in time series to detect patterns and irregularities in the time series, revealing information about the stability of dynamical systems, providing insights into periodic orbits, chaotic motions, and bifurcations.
Trunk access code, used to dial a domestic call; International access code, used to dial an international call; Area code, ... Mobile view ...
2.5D (basic pronunciation two-and-a-half dimensional) perspective refers to gameplay or movement in a video game or virtual reality environment that is restricted to a two-dimensional (2D) plane with little to no access to a third dimension in a space that otherwise appears to be three-dimensional and is often simulated and rendered in a 3D digital environment.
Marching Squares code in Java. Given a 2D data set and thresholds, returns GeneralPath[] for easy plotting. Meandering Triangles explanation and sample Python implementation. Marching Squares code in C – A single header library for marching squares that can export triangle meshes for easy rendering.
Castle Infinity is a 2D side-scrolling world, where players collect "grow caps" and "hats" to unlock new play areas. The game places a heavy emphasis on player interaction, and much of the game's map is constructed to encourage users to collaborate in order to proceed.
The Z-ordering can be used to efficiently build a quadtree (2D) or octree (3D) for a set of points. [5] [6] The basic idea is to sort the input set according to Z-order.Once sorted, the points can either be stored in a binary search tree and used directly, which is called a linear quadtree, [7] or they can be used to build a pointer based quadtree.
Parallax mapping is essentially a method by which rough or uneven surfaces on a 2D texture can be "pulled out" to take on the appearance of a 3D surface. Technically, this is implemented by displacing the texture coordinates at a point on the rendered polygon by a function of the view angle in tangent space (the angle relative to the surface ...