Origami and Pascal's Triangle

The first quarter of April was spring break, and we haven't had time to do a whole lot since then. We've made some neat origami vases and boxes. The vase required folding the paper exactly in thirds, so we had to figure out how to do that (Google "origami thirds" and you'll find several different ways).

We also did a little more stuff with Pascal's Triangle. If we left-justify all the numbers, we get a staircase instead of a pyramid:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

If we sum the numbers in each row, we get doubles:

Sum

1 1

1 1 2

1 2 1 4

1 3 3 1 8

1 4 6 4 1 16

1 5 10 10 5 1 32

If we sum the numbers on each finite diagonal, we get the Fibonacci numbers. I think this is really cool.

Sum

1 1

1 1 1

2 1 2 1

3 1 3 3 1

5 1 4 6 4 1

8 1 5 10 10 5 1