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What else can I help you with?
Do fractals have fractional dimensions?
Yes.
Fractals have how many dimensions?
They have positive non-integer dimensions.
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).
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.
Are fractals two dimentional?
They can be three dimensional, for example, the Menger Sponge. Mathematically, there is no limit to the number of dimensions.
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.
What is a line between two vertices that are not the same?
A diagonal in 2-dimensions, an edge or diagonal in 3-dimensions
What are fractals of pi?
Pi is a number. There are no fractals of pi.
How are mountains and crystals fractals?
Crystals are usually not fractals.
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.
