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This is an accepted version of this page This is the latest accepted revision, reviewed on 1 March 2025. Computer graphics images defined by points, lines and curves This article is about computer illustration. For other uses, see Vector graphics (disambiguation). Example showing comparison of vector graphics and raster graphics upon magnification Vector graphics are a form of computer ...
3D fractal made with Fragmentarium. Fractal-generating software is any type of graphics software that generates images of fractals.There are many fractal generating programs available, both free and commercial.
In 3 dimensions the curl of a vector field is a vector field as is familiar (in 1 and 0 dimensions the curl of a vector field is 0, because there are no non-trivial 2-vectors), while in 4 dimensions the curl of a vector field is, geometrically, at each point an element of the 6-dimensional Lie algebra ().
This terminology is also used in complex analysis, as complex number can be desrcibed as vectors in the complex plane.Sources and sinks are associated with zeros and poles of meromorphic function, representing inflows and outflows in a harmonic function. A complex function is defined to a source or a sink if it has a pole of order 1. [14]
Swirl (band), an Australian indie rock band; Swirl, a 2011 Brazilian film; Swirl (organization), a multi-ethnic organization; Swirl 360, an American pop-rock band; Sega Swirl, a 1999 puzzle game for the Sega Dreamcast; Swirl (fluid dynamics), a quantity in fluid dynamics; Sources and sinks, vectors fields with zero divergence but non-zero curl.
For images of fractal patterns, this has been expressed by phrases such as "smoothly piling up surfaces" and "swirls upon swirls"; [6] see Common techniques for generating fractals. As a group, these criteria form guidelines for excluding certain cases, such as those that may be self-similar without having other typically fractal features.
Since orthogonal transformations are actually rotations and reflections, the invariance conditions mean that vectors of a central field are always directed towards, or away from, 0; this is an alternate (and simpler) definition. A central field is always a gradient field, since defining it on one semiaxis and integrating gives an antigradient.
The propensity of a fluid to swirl is used to promote good fuel/air mixing in internal combustion engines.. In fluid mechanics and transport phenomena, an eddy is not a property of the fluid, but a violent swirling motion caused by the position and direction of turbulent flow.