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What fractal is created when the middle third of each segment is removed (infinitely repeated)?
Wiki User
∙ 8y ago
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.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoIt is the Koch Snowflake, also known as the Koch island. It was first described by Helge von Koch in 1904
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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
What fractal is created when the middle third of each segment is removed?
Cantor Dust
What fractal is created when each triangle has an upside down similar triangle removed from its middle which created three smaller triangles similar to the original?
It's called a Sierpinski triangle.
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?
This is known as the Sierpinski triangle.
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