T-square (fractal) - Wikipedia
In mathematics, the T-square is a two-dimensional fractal. It has a boundary of infinite length bounding a finite area. Its name comes from the drawing instrument known as a T-square. [1] It can be generated from using this algorithm: Start with a square. (The black square in the image)
List of fractals by Hausdorff dimension - Wikipedia
According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." [1] Presented here is a list of fractals, ordered by increasing Hausdorff dimension, to illustrate what it means for a fractal to have a low or a high dimension.
GENERATING A FRACTAL SQUARE In 1904 the Swedish mathematician Helge von Koch(1870-1924) introduced one of the earliest known fractals, namely, the Koch Snowflake. It is a closed continuous curve with discontinuities in its derivative at discrete points. The simplest way to construct the curve
分形 - 维基百科，自由的百科全书
逃逸時間分形：由空間（如複平面）中每一點的遞迴關係式所定義，例如曼德博集合、茹利亚集合、 火燒船碎形 （ 英语 ： Burning Ship fractal ） 、牛顿分形和 李亞普諾夫碎形 （ 英语 ： Lyapunov fractal ） 等。由一次或兩次逃逸時間公式的迭代生成的二維向量場也 ...
Fractal - Wikipedia
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 …
Chapter 1 - FRACTALS IN NATURE - Fractal Foundation
The first way is to discover and use a formula that tells you how many squares are created at a given iteration. The second method is simply to count all the squares at a given size. If it took you 1 second to count each square, regardless of its size, how long (in minutes) would it take you to count all the white squares in the image above? [ ]
Chapter 4: Calculating Fractal Dimensions - Wahl
Measuring the Fractal dimension of the Koch curve Using the Box counting Method. We begin by counting the number of squares that contain part of the Koch curve for each grid.
The box fractal is created by dividing a square into nine identical regions and selecting five of them in a particular way, and then repeating this on the newly produced squares. Thus we have
T‐square fractal - Wolfram|Alpha
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Cantor Square Fractal -- from Wolfram MathWorld
2024年11月26日 · Cantor Square Fractal Download Wolfram Notebook A fractal which can be constructed using string rewriting beginning with a cell [1] and iterating the rules