![Picture](/uploads/2/2/7/5/22755890/3543324.gif)
Discovered in both China (Yang Hui's triangle), used by Chia Hsien, and in Persia, by Omar Khayyam, this triangle of binomial coefficients. It is know by the name Pascal's Triangle. Blaise Pascal was the "first" person to discover the true mystery of this triangle.
Patterns:
-Sum of horizontal rows doubles
-Diagonals: first-"1"s, second- counting numbers, third- tetrahedral numbers
-Sierpinski Triangle
-Powers of 11
-Fibonacci Sequence
-Symmetrical
Blaise Pascal:
French mathematician born in 1623 and died in 1662. He is known for his theorem, Law and Wager.
-Traité du triangle arithmétique (1653)
-(x + y)2 = x2 + 2xy + y2 = 1x2y0 + 2x1y1 + 1x0y2.
-Fibonacci Sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ...
Patterns:
-Sum of horizontal rows doubles
-Diagonals: first-"1"s, second- counting numbers, third- tetrahedral numbers
-Sierpinski Triangle
-Powers of 11
-Fibonacci Sequence
-Symmetrical
Blaise Pascal:
French mathematician born in 1623 and died in 1662. He is known for his theorem, Law and Wager.
-Traité du triangle arithmétique (1653)
-(x + y)2 = x2 + 2xy + y2 = 1x2y0 + 2x1y1 + 1x0y2.
-Fibonacci Sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ...