SIERPINSKI TRIANGLE. This design is called Sierpinski triangle (or gasket ), after the Polish mathematican Wacław Sierpinski who described some of its interesting properties in 1916.Among these is its fractal or self-similar character.
This design iscalledSierpinski triangle (orgasket), afterthePolishmathematican Wacław Sierpinskiwhodescribedsome of itsinterestingproperties in 1916.Among theseisitsfractalorself-similarcharacter.
The arearemainingaftereach step is ¾ of the areafromtheprevious step, and an infinitenumber of stepsresultsis zero. So we cansay the area of Sierpinski triangle is zero.
Draw an equilateral triangle with sides
of 2 triangle lengths each. Connect the midpoints of each side. You have four
equilateral triangles now. Cut out the
triangle in the center.
Draw another equilateral triangle with
sides of 4 triangle lengths each. Connect the midpoints of the sides and cut out the triangle in the center as before. Cut out the three small triangels in each of the three triangles
On each corner – three more holes.
Draw an equilateral triangle with sides of 8 triangle lengths each. Follow the
same procedure as before, making sure to follow the cutting pattern.
E-twinning project „TRIANGLES ARE EVERYWHERE”
Primary School no 26 in Wrocław
Adam W., Bartosz C., Tymon P.