Sierpinski triangle
This presentation is the property of its rightful owner.
Sponsored Links
1 / 7

SIERPINSKI TRIANGLE PowerPoint PPT Presentation


  • 73 Views
  • Uploaded on
  • Presentation posted in: General

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.

Download Presentation

SIERPINSKI TRIANGLE

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Sierpinski triangle

SIERPINSKI TRIANGLE

This design iscalledSierpinski triangle (orgasket), afterthePolishmathematican Wacław Sierpinskiwhodescribedsome of itsinterestingproperties in 1916.Among theseisitsfractalorself-similarcharacter.


Sierpinski triangle

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.


Construction step one

Construction: step one

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.


Step two

Step two

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.


Step three

Step three

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

References:http://serendip.brynmawr.edu/playground/sierpinski.htmlhttp://math.rice.edu/~lanius/fractals/http://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t_Sierpi%C5%84skiego

E-twinning project „TRIANGLES ARE EVERYWHERE”

Primary School no 26 in Wrocław

Adam W., Bartosz C., Tymon P.


  • Login