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They have positive non-integer dimensions.
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∙ 6y ago
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Do fractals have fractional dimensions?
Yes.
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 the list of fractals?
There are infinitely many fractals so no list can exist.
Which two dimensions are fractals between?
A fractal in a 2-dimensional plane has a dimension between 1 and 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.
How many different fractals are there in the universe?
By their very nature fractals are infinite in extent.
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 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.
Why are fractals related to math?
But to a mathematician, it is a neat, neat subject area. Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.
Who has made the most fractals?
Nobody. Fractals are not owned by anyone!
