PENGEMBANGAN BAHAN AJAR GEOMETRI FRAKTAL BERBASIS EKSPERIMEN UNTUK MENINGKATKAN KOMPETENSI MAHASISWA. Fraktal Geometri doğada var olan, kendini her ölçekte tekrar eden matematiksel algoritmaları tanımlamaktadır. Bu algoritmalar günümüzde karmaşık ve kaotik. Title, Fraktal geometri ve üretken sistemlerle mimari tasarım. Author, F. Betül Değirmenci. Contributor, Mimarlık Fakültesi. Published, Export Citation.

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Cazın Piyano Üzerinden Matematiksel Analiz İle Fraktal Geometri İle İlişkisinin Analizi

Now, consider the Koch curve. Encyclopedia of Complexity and Systems Science. In Bunde, Armin; Havlin, Shlomo. When two-dimensional fractals are iterated many frzktal, the perimeter of the fractal increases up to infinity, but the area may never exceed a certain value. Evidence for seismically-induced fluid pulsing”.

Some specific applications of fractals to technology are listed elsewhere. Droste effect Mathematical beauty Patterns in nature Sacred geometry. In other projects Wikimedia Commons. Humans appear to be especially well-adapted to processing fractal patterns with D values between 1. Wikibooks has a book on the topic of: If this is done on fractals, however, no new detail appears; nothing changes and the same pattern repeats over and over, or for some fractals, nearly the same pattern reappears over and over.


Doubling the edge lengths of a polygon multiplies its area by four, fraktak is two the ratio of the new to the old side length raised to the power of two the dimension of geometro space the polygon resides in.

Wikimedia Commons has media geomegri to Fractal. Authors disagree on the exact definition of fractalbut most usually elaborate on the basic ideas of self-similarity and an unusual relationship with the space a fractal is embedded in. From DNA to the Heartbeat”.

Toward a unified theory of development: This number is what mathematicians call the fractal dimension of the Koch curve. Decalcomaniaa technique used by artists such as Max Ernstcan produce fractal-like patterns.

Cazın Piyano Üzerinden Matematiksel Analiz İle Fraktal Geometri İle İlişkisinin Analizi

Such scaling patterns can also be found in African textiles, sculpture, and even cornrow hairstyles. Actin cytoskeleton [52] Algae Animal coloration patterns Blood vessels and pulmonary geomeri [47] Coastlines Craters Crystals [53] DNA Earthquakes [30] [54] Fault lines Geometrical optics [55] Heart rates [22] Heart sounds [23] Lightning bolts Mountain goat horns Mountain ranges Ocean waves [56] Pineapple Psychological subjective perception [57] Proteins [58] Rings of Saturn [59] [60] River networks Romanesco broccoli Snowflakes [61] Soil pores [62] Surfaces in turbulent flows [63] [64] Trees Brownian motion generated by a gwometri Wiener Process.


Fractal basin boundary in a geometrical optical system [55]. Ancient Polykleitos Canon Vitruvius De architectura.

The fact that the Koch curve has a non-integer fractal dimension is what makes it a geoetri. Journal of Fluid Mechanics. Statistical Self-Similarity and Fractional Dimension.

Buddhabrot Orbit trap Pickover stalk. Slime mold Brefeldia maxima growing fractally on wood. Retrieved October 18, There is some disagreement amongst mathematicians about how the concept of a fractal should be formally defined. Fractal Brains Fractal Thoughts”.

Measure, Topology, and Fractal Geometry. The fractal geometry of nature. Modern Computing and Indigenous Design”. Because of the butterfly effecta small change in a single frakktal can have an unpredictable outcome. Romanesco broccolishowing self-similar form approximating a natural fractal.