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 13th century.

Stage oneStage twoStage threeStage fourStage fiveStage sixStage seven

Formulas

• Number of new holes.– Nn=3n-1

• Number of total holes. ∞

– Nn=Σ 3n-1

n=1

Formulas cont.

• Length of a side of a triangle. - Ln = (.5s)n

• Area of a new hole.– An=(.25an-1)

LIMIT

• Area of holes goes towards the area of the 1st iteration

• Area of whole triangle goes towards 0

Chaos Game

• This will create the sierpinski triangle.• The example