Cynthia Lanius

Pascal's Triangle

Sierpinski Meets Pascal

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Table of Contents

   Introduction

  Why study fractals?
    What's so hot about
    fractals, anyway?

  Making fractals
    Sierpinski Triangle
         Using Java
         Math questions
         Sierpinski Meets Pascal
    Jurassic Park Fractal
         Using JAVA
         It grows complex
         Real first iteration
         Encoding the fractal
         World's Largest
    Koch Snowflake
         Using Java
         Infinite perimeter
         Finite area
         Anti-Snowflake
            Using Java

  Fractal Properties
    Self-similarity
    Fractional dimension
    Formation by iteration

  For Teachers
    Teachers' Notes
    Teacher-to-Teacher

  Comments
    My fractals mail
    Send fractals mail

  Fractals on the Web
    The Math Forum

  Other Math Lessons
    by Cynthia Lanius

  Awards
    This Site has received

 

Whose triangle is this, anyway?

Have you ever seen the triangular pattern of numbers (above) named after the famous French mathematican Blaise Pascal?

Do you see the pattern of how the numbers are placed in the triangles?

Print out or copy the triangle and fill in the missing numbers.

  • Next: check your answer here and go on to see what Pascal's Triangle has to do with Sierpinski's Triangle


    More Information on Pascal's Triangle


  • Ask Dr. Math
  • Searching for Patterns in Pascal's TriangleWith a Twist
  • Ivars Peterson's Pascal's Fractals
  • Spreadsheets, Pascal's Triangle, and Sierpinski's Gasket
  • Ask Dr. Math again

    You may obtain a print version of this page.
    Copyright June 1996-2007 Cynthia Lanius
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    URL http://math.rice.edu/~lanius/fractals/pasc.html