Ads
related to: diagram of fractal shapes worksheetteacherspayteachers.com has been visited by 100K+ users in the past month
- Try Easel
Level up learning with interactive,
self-grading TPT digital resources.
- Worksheets
All the printables you need for
math, ELA, science, and much more.
- Resources on Sale
The materials you need at the best
prices. Shop limited time offers.
- Packets
Perfect for independent work!
Browse our fun activity packs.
- Try Easel
Search results
Results from the WOW.Com Content Network
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set .
Sierpiński carpet. 6 steps of a Sierpiński carpet. The Sierpiński carpet is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is a generalization of the Cantor set to two dimensions; another such generalization is the Cantor dust. The technique of subdividing a shape into smaller copies of itself, removing one or ...
The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets—that is, it is a mathematically generated ...
A fractal dimension is an index for characterizing fractal patterns or sets by quantifying their complexity as a ratio of the change in detail to the change in scale. [5]: 1 Several types of fractal dimension can be measured theoretically and empirically (see Fig. 2). [3][9] Fractal dimensions are used to characterize a broad spectrum of ...
The Koch snowflake (also known as the Koch curve, Koch star, or Koch island [1] [2]) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" [3] by the Swedish mathematician Helge von Koch.
Pythagoras tree (fractal) Animation of an imperfectly self-resembling Pythagoras tree. The Pythagoras tree with an angle of 25 degrees and smooth coloring. The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, [1] it is named after the ancient Greek mathematician ...
The fern code developed by Barnsley is an example of an iterated function system (IFS) to create a fractal. This follows from the collage theorem. He has used fractals to model a diverse range of phenomena in science and technology, but most specifically plant structures. IFSs provide models for certain plants, leaves, and ferns, by virtue of ...
The Fractal Geometry of Nature is a revised and enlarged version of his 1977 book entitled Fractals: Form, Chance and Dimension, which in turn was a revised, enlarged, and translated version of his 1975 French book, Les Objets Fractals: Forme, Hasard et Dimension. American Scientist put the book in its one hundred books of 20th century science.
Ads
related to: diagram of fractal shapes worksheetteacherspayteachers.com has been visited by 100K+ users in the past month