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A hollow circle is not a fractal.

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8y ago

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how big is a fractal?

In mathematics, a fractal is a subset of Euclidean space with a fractal dimension that strictly exceeds its topological dimension. Fractals appear the same at different scales, as illustrated in successive magnifications of the Mandelbrot set.


As a fractal the Sierpinski Gasket has fractional dimension?

true


As a fractal the Mandelbrot Set has fractional dimension?

true


What is a circle fractal?

A circle fractal is a geometric pattern that exhibits self-similarity, where the overall shape consists of smaller circles that replicate the arrangement and size of the larger circle. One common example of a circle fractal is the Apollonian gasket, which is generated by repeatedly filling the gaps between three tangent circles with additional circles. As the process continues, the fractal becomes increasingly intricate, showcasing an infinite number of smaller circles within the original circle. This type of fractal illustrates the concept of recursion and the complexity that can arise from simple geometric rules.


How do you calculate the fractal dimension of the Mandelbrot set?

The fractal dimension of the Mandelbrot set can be estimated using the box-counting method. This involves covering the set with a grid of boxes (or squares) of varying sizes and counting how many boxes contain a part of the Mandelbrot set. By plotting the logarithm of the number of boxes against the logarithm of the size of the boxes, the slope of the resulting line provides an estimate of the fractal dimension. Typically, for the Mandelbrot set, this dimension is approximately 2, reflecting its complex boundary structure.


Which two dimensions are fractals between?

A fractal in a 2-dimensional plane has a dimension between 1 and 2.


How many is the dimension of a thin wire?

A mathematically ideal wire (0 diameter) is a one dimensional object. However it can be imbedded in higher dimensional space forming very complex knots, as long as it never intersects itself. If a mathematically ideal wire forms a fractal then it has a fractional dimension (e.g. if the fractal is in a two dimensional plane then the dimension of the wire will be a fraction between one and two).


Did a circle has dimension?

Yes.Yes.Yes.Yes.


What dimension of a circle is always smaller?

radius


Formula for finding the circumference of a hollow shaft?

To find the circumference of a round shaft (either outside dimension or inside dimension of a hollow shaft), multiply the diameter by Pi (C = Pi x D). Pi = 3.1416.


What is the Dimension of concrete hollow block?

440mm x 215mm x 100mm


What shape is a toilet roll?

A hollow cylinder.