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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.
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.
What is the area of sierpinski gasket?
This is a bad idea i dont kno much........
What is the area of a Sierpinski gasket?
This is a bad idea i dont kno much........
When creating the Sierpinski Gasket each successive removal of a similar triangle from a larger triangle is called an iteration?
true
When creating the Sierpinski Gasket each successive removal of a similar triangle from a large triangle is called iteration?
True
What is an Apollonian gasket?
An Apollonian gasket is a mathematical term for a fractal generated from triples of circles, where each circle is tangent to the other two.
What fractal is created when the middle third of each segment is removed (infinitely repeated)?
When the middle third of a line segment is removed and repeated infinitely on the resulting line segments the result is the Cantor Set. When shifting to 2 dimensions, starting with a triangle, dividing it up into 4 similar smaller triangles and removing the middle triangle results in the Sierpinski Gasket; the limit of colouring Pascal's triangle with the even numbers as black and the odd numbers as white, as the number of rows tends to infinity is the Sierpinski Gasket. Shifting to 3 dimensions, starting with a cube, dividing it up into 27 smaller cubes and removing the middle cube of each face and the centre cube results in the Menger Sponge. The Sierpinski Gasket and Menger Sponge are 2 and 3 dimensional analogues respectively of the Cantor Set.
What is an Apollonian net?
An Apollonian net is another name for an Apollonian gasket, a mathematical term for a fractal generated from triples of circles, where each circle is tangent to the other two.
