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# What is the recursive formula for a Sierpinski triangle?

**The recursive formula for Sierpinski triangle is An=An-1*3.** The procedure of constructing the triangle with this formula is called recursion. Alternatively, the Sierpinski triangle can be created using the explicit formula An=1*3(n-1), where (n-1) is the exponent.

The Sierpinski triangle is also known as a Sierpinski gasket or Sierpinski Sieve. This large triangle is recursively subdivided in to a series of smaller equilateral triangles. The pattern of the triangles displays a uniform image of smaller triangles that are aesthetically arranged. This arrangement of triangles is an example of a mathematical concept known as similar-sets, which are patterns that are created using mathematical formulae and can effectively be reduced without limit.

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Q:
## What is the formula for calculating a right-angled triangle?

A: The formula for calculating the length of one side of a right-angled triangle when the length of the other two sides is known is a2 + b2 = c2. This is know... Full Answer >Filed Under: -
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## How do you find the area of a right triangle?

A: The formula for the area of any triangle equals 1/2 the base times the height. For a right triangle, this is easy to remember ,since a right triangle is ha... Full Answer >Filed Under: -
Q:
## What is the exterior angle theorem?

A: The exterior angle theorem states that an angle exterior to a triangle equals the sum of the two angles not adjacent to it. The theorem’s basis derives fro... Full Answer >Filed Under: -
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## How do you find the square footage of a triangular shape?

A: A triangle is a three-sided polygon, existing in various lengths and forms. To calculate square footage of a triangular shape, you need to calculate the ar... Full Answer >Filed Under: