Sierpinski Triangle Kendal, Matt, Heather, Caitlin.

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Presentation transcript:

Sierpinski Triangle Kendal, Matt, Heather, Caitlin

History Discovered by Waclaw Sierpinski in 1916 Born in 1882, Warsaw, Poland Also known as Sierpinski Gasket Appeared in Italian art in 13 th century.

Stage one Stage twoStage threeStage fourStage fiveStage sixStage seven

Formulas Number of new holes. – N n =3 n-1 Number of total holes. ∞ –N n =Σ 3 n-1 n=1

Formulas cont. Length of a side of a triangle. - L n = (.5s) n Area of a new hole. –A n =(.25a n-1 )

LIMIT Area of holes goes towards the area of the 1 st iteration Area of whole triangle goes towards 0

Chaos Game This will create the sierpinski triangle. The example