The pascal triangle: There are some patterns

Diagonal 1 - Ones

Diagonal 2 - Natural Numbers

Diagonal 3 Triangular Numbers

You can form a equilateral triangle with these numbers. Add to the base each time 1,3,6, and so on. You cannot make a triangle with 2 boxes, but you can with 3.

Diagonal 4 3D Tetrahedral/3D pyramids

You can make 3d pyramids(tetrahedral) with these boxes

And it goes so on, the fourth dimension for the 5th row.

Exponentials of 2

The sum of each row equates to a power of 2 row 0 sum is 2^0, row 1 sum is 2^1. so the sum is 2

Routes

Pascal Routes