1. Blaise Pascal
“Man is equally incapable of seeing the nothingness from which he emerges and the infinity in which he is engulfed.”
“We are usually convinced more easily by reasons we have found ourselves than by those which have occurred to others.
Pensées “(1670)

2.
Pascal's
Triangle

3.
Zeroth Row 
1st Row 
2nd Row 
3rd Row 
4th Row 

4. Binomial Coeff. for a group of 4
Binomial Coeff. for a group of 4
4th 
4C0
4C1
4C2
4C3
4C4

5. Binomial Coeff. for a group of 4
These are the coefficients in the expansion of (x+y)4
4th 

6. Other Interesting Patterns
Counting Numbers

7. Other Interesting Patterns
Triangular Numbers

8. Other Interesting Patterns
sum = 1
Powers of 2
sum = 2
sum = 4
sum = 8
sum = 16
sum = 32
sum = 64

9. Other Interesting Patterns
sum = 2
sum = 3
sum = 5
sum = 8
sum = 13
Fibonacci Numbers

10. Other Interesting Patterns
Pascal’s Flowers
The gray cell is surrounded by 6 “petals.” If you multiply the yellow petals you get If you multiply the orange petals, you get 2100.

11. Other Interesting Patterns
 11 0
 11 1
 11 2
Powers of 11
 11 3
 11 4