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...corner cubes (heavier).<ref>Eric Baird, ''Alt.Fractals: A visual guide to fractal geometry and design'' (January 2011), pages 21 and 62-64. {{ISBN|9780955706 [[Category:Curves]] ...

[[Image:Box fractal.svg|thumb|245px|right|Vicsek fractal (5th iteration of cross form)]] ..., proposed by [[Tamás Vicsek]]. It has applications including as compact [[fractal antenna|antennas]], particularly in cellular phones. ...

{{short description|Fractal first proposed by Hermann Minkowski}} | image3 = Koch quadratic L7 curves 0-2.svg ...

The '''Fibonacci word fractal''' is a [[fractal curve]] defined on the plane from the [[Fibonacci word]]. [[File:Fibonacci fractal first iterations.png|thumb|The first iterations]] ...

{{Short description|An assembly of curves that branch out from a root to reach every point in a space}} ...re, including [[fluid distribution system]]s, [[vascular network]]s, and [[fractal]] plant growth, and many interesting connections to [[L-system]]s in comput ...

...times in the center. This process is repeated recursively to result in the fractal. Typically, there is also the restriction that the ''n''-gons must touch ye ...types &ndash; depending on the ''n''-gon &ndash; and infinitely many Koch curves are contained within. The fractals occupy zero area yet have an infinite pe ...

...unction]]. More intuitively, sufficiently well-behaved hedgehogs are plane curves with one tangent line in each oriented direction. A '''projective hedgehog' ...strass function]] whose corresponding projective hedgehogs are [[fractal]] curves that are continuous but nowhere differentiable and have infinite length.<re ...

...Schnirelmann |year=1944 |title=On certain geometrical properties of closed curves |journal=Akademiya Nauk SSSR I Moskovskoe Matematicheskoe Obshchestvo. Uspe ...int rather than itself being a square. Nevertheless, many special cases of curves are now known to have an inscribed square.<ref name="matschke">{{citation | ...

| developer = Andrew Coles, PhD, David Hawkins, Bob English (new MIDAS curves and new MIDAS indicators) ...terly, several important contributions to the project, including new MIDAS curves and indicators, have been made by Bob English, many of them published in th ...

...hm]], which detects the presence of a signal by analyzing the variation in fractal dimension along the trace. This method works when signal-to-noise ratio is ...name=Fabio>Fabio Boschetti, Mike D. Dentith, and Ron D. List, (1996). ''A fractal-based algorithm for detecting first arrivals on seismic traces.'' Geophysic ...

...ines of the [[stream function]]. In 2-D, streamlines are concentric closed curves that cross only at [[stagnation point]]s. Thus, a spot of dyed fluid to be ...are called elliptic islands, as the trajectories inside are elliptic-like curves. These regions are not mixed with the remainder of the fluid. For mixing ap ...

...nvex sets), the [[smooth curve]]s that are convex, and the strictly convex curves, which have the additional property that each supporting line passes throug Bounded convex curves have a well-defined length, which can be obtained by approximating them wit ...

...complex functions, the basins of attraction for the various solutions show fractal behavior.<ref group="note">This is a general phenomenon affecting the Newto ...E Trans. on Power Systems'', vol.7, no.1, pp. 416–423, Feb 1992.</ref> the fractal nature of the basins of attraction precludes a 100% reliable method for all ...

...ot]] in his 1997 book ''Fractals and Scaling in Finance'', which applied [[fractal analysis]] to the study of risk and randomness.<ref name="Mandelbrot1977">{ ...ry are inadequate for measuring risk in financial markets, given that such curves disregard the possibility of sharp jumps or discontinuities. Contrasting th ...

...e form of a [[Forest (graph theory)|forest]] of [[line segment]]s or other curves) '''opaque forests'''. Opaque sets were introduced by [[Stefan Mazurkiewicz ...ees with the standard length in the cases of line segments and rectifiable curves.{{r|pbtw}} ...

| title=Fractal Geometry and Stochastics III ...hematician)|Peter Jones]], he is the namesake of the class of Bishop-Jones curves.<ref>{{cite journal ...

...the [[Mandelbrot set]]. A [[coast]] is an example of a naturally occurring fractal, since it retains similar-appearing complexity at every level from the view ...nerated movie effects]], where their ability to create complex curves with fractal symmetries results in more realistic [[virtual world]]s. ...

{{see also|Fractal antenna}} ...le:Hilbert resonator.svg|thumb|upright|alt=diagram|Three-iteration Hilbert fractal resonator in microstrip<ref>Janković ''et al.'', p. 197</ref>]] ...

...ith some qualifier, such as [[algebraic surface]], [[smooth surface]] or [[fractal surface]]. ...one way of representing objects. The other ways are wireframe (lines and curves) and solids. Point clouds are also sometimes used as temporary ways to rep ...

...the volume that it encloses, when such things may be non-smooth or even [[fractal]]? Nevertheless, it is possible to formulate the problem of optimal enclosu ...[[Euclidean plane]], analogously, the minimum [[perimeter]] of a system of curves that enclose two given areas is formed by three [[circular arc]]s, with the ...