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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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## 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: -
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## How do you find the height of a scalene triangle?

A: To find the height of a scalene triangle, the formula for the area of a triangle is necessary. The equation is area = 1/2hb, where h is the height and b is... Full Answer >Filed Under: -
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## What is the height of an equilateral triangle?

A: The height of an equilateral triangle is equal to the square root of three divided by two and multiplied by the length. The equation for the height of an e... Full Answer >Filed Under: -
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## What are the congruent legs of an isosceles triangle also called?

A: The two congruent legs of an isosceles triangle are also called congruent sides. An isosceles triangle is a two-dimensional geometric figure containing two... Full Answer >Filed Under: