Lessons On Magical Patterns Of Numbers And Pascals Triangle

Introduction

The meaning of word pattern provided by the Cambridge Dictionary is "any regularly repeated arrangement, especially a design made from repeated lines, shapes, or colours on a surface." There are numerous such patterns which are present in nature or can be seen on the printed fabrics or in mathematics. The patterns consist of repeated geometrical shapes or a repeated pattern of numbers.

The shape of leaves or flowers, the waves of water in the sea and the stripes of zebras are some examples from nature where the patterns can be observed.

In mathematics, there exist patterns of numbers with squares or cubes of a number that give rise to triangular or tetrahedral number patterns. Pascal's Triangle, one of the famous triangles, exhibits specific patterns of numbers which are used to form it. The other number patterns can be observed in the Fibonacci sequence and the Sierpinski Triangle.