Named after Blaise Pascal.
Add together numbers that are beside each other. Starting with 1.

How Pascal's Triangle Works?

Second Diagonal -
counting numbers
Third Diagonal -
Equilateral Triangles
Fourth Diagonal - Tetrahedral Numbers

Diagonal Patterns

The sum of all the numbers in one row is equal to 2 to the power of the row number.

Powers of 2

​Sum of n row = 2ⁿ

Binomial Expansion

If you were to shade in all the odd numbers you would get the fractal, Sierpinski's Triangle.

​Sierpinski Triangle