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Earn +20 ptsQ: As a fractal the Sierpinski Gasket has fractional dimension?
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Does the Sierpinski Gasket have fractional dimension?
Yes, the Sierpinski Gasket has a fractional dimension. It is known as a fractal and has a dimension of approximately 1.58496, which is between a one-dimensional and a two-dimensional object. This is one of the properties that makes the Sierpinski Gasket interesting and unique.
What fractal is represented below?
Sierpinski gasket
What is Sierpinski triangle?
The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set named after the Polish mathematician Wacław Sierpiński who described it in 1915.
What fractal is created when each triangle has an upside down similar triangle removed from its middle which creates three smaller triangles similar to the original infinitely repeated?
Sierpinski Gasket
Is there a relationship between Sierpinski Gasket and Pascals Triangle?
Yes. If you mark the odd numbers in Pascal's Triangle, it would form Sierpinski's Gasket.
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