|
Fractal Theory
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. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, the shape is called affine self-similar. Fractal geometry lies within the mathematical branch of measure theory. One way that fractals are different from finite geometric figures is how they scale. Doubling the edge lengths of a filled polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the conventional dimension of the filled polygon). Likewise, if the radius of a filled sphere i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mandel Zoom 00 Mandelbrot Set
Mandel is a surname (and occasional given name) that occurs in multiple cultures and languages. It is a Dutch, German and Jewish surname, meaning "almond", from the Middle High German and Middle Dutch ''mandel''.''Dictionary of American Family Names''"Mandel Family History" Oxford University Press, 2013. Retrieved on 18 January 2016. Mandel can be a locational surname, from places called Mandel, such as Mandel, Germany. Mandel may also be a Dutch surname, from the Middle Dutch ''mandele'', meaning a number of sheaves of harvested wheat. Notable people * Alon Mandel (born 1988), Israeli swimmer * Babaloo Mandel (born 1949), American screenwriter *David Mandel (born 1970), American television producer and writer * Edgar Mandel (born 1928), German actor * Eli Mandel (1922–1992), Canadian writer *Emily St. John Mandel (born 1979), Canadian novelist * Emmanuil Mandel (1925–2018), Russian poet * Ernest Mandel (1923–1995), Belgian politician, professor and writer * Frank Mande ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
