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How do fractals relate to math?
Fractals are a special kind of curve. They are space filling curves and have dimensions that are between those of a line (D = 1) and an area (D = 2).
What are some common techniques for generating fractals?
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
What are the list of fractals?
There are infinitely many fractals so no list can exist.
Where were fractals discovered?
Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.
What of kinds of the dimension?
Dimensions can be understood in various contexts, including physical, mathematical, and abstract. In physics, dimensions typically refer to the measurable extents of space and time, such as the three spatial dimensions (length, width, height) and the fourth dimension of time. In mathematics, dimensions can extend into higher realms, such as fractals or multidimensional spaces. Additionally, abstract dimensions can refer to concepts in psychology or philosophy, indicating different aspects of human experience or understanding.
Geometric objects occupies two dimensions?
No. Idealised objects have 0 or 1 dimensions. Day to day objects have 2 or 3 dimensions. More exotic objects have 4 or more integer dimensions and fractals have fractional dimensions.
Fractals have how many dimensions?
They have positive non-integer dimensions.
Difference between fractals and other geometric figures?
Traditional geometric figures have dimensions which are integers: 0 for a point, 1 for a line or Mobius strip, 2 for a plane figure or Klein bottle, and 3 for a solid. Fractals have dimensions which are not integers.
How do fractals relate to math?
Fractals are a special kind of curve. They are space filling curves and have dimensions that are between those of a line (D = 1) and an area (D = 2).
What are three examples of surfaces that are high fraction?
Any surface which is a fractals has a fractional dimension. But the value of the dimension is less than 2.
Are fractals two dimentional?
They can be three dimensional, for example, the Menger Sponge. Mathematically, there is no limit to the number of dimensions.
Which two dimensions are fractals between?
A fractal in a 2-dimensional plane has a dimension between 1 and 2.
How are mountains and crystals fractals?
Crystals are usually not fractals.
What are fractals of pi?
Pi is a number. There are no fractals of pi.
Who has made the most fractals?
Nobody. Fractals are not owned by anyone!
When was The Beauty of Fractals created?
The Beauty of Fractals was created in 1986.
What are some common techniques for generating fractals?
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
