Wednesday, March 7, 2018

U also see...........many other numbers.......35............like 35i........14i + 21i = 35i.......the 1st two zeros...............4 and 6.....................14.........like 14i......................etc...........two ones......like a 45/45 right triangle.............whose two lesser sides are each one...............two of them......1 and 1..................2 and 11............like what I believe is one of the two prime fundamentals......2 - 11.........AND 2...........................2 tens.................one process...............add them........multiply them.................base ten number system.........is also one of the clues.........2 - 11..................10 numbers................

0 - 9...........all single digit numbers....10 of them.........spin 0 - 9...............it is like 90 degrees..............like a 45/45.....................right triangle........the defining angle is the right angle.........which is 90 degrees......90 degrees is 1/4th of the Cartesian plane..............1/4th of full circle..........................4th level down............like 14i...........like there are 4 primes in the 1st 10 digit number sequence..............2, 3, 5, 7.........................4 in 10...........like 14........like 14i.............4 in the next 10 number sequence...........11, 13, 17, 19.....................another 14.........4 in ten..............the square root of 2...........starts out.......1.41421...........................14 twice............like the imag part of the 1st zero.........................14 is more imp than 21i..........the 2nd zero...........

The square root of 2.............and 1 and 1.......the length of the other two sides.........is like 2 - 11..................which is one of the prime fundamentals.............


Pascal's Triangle

pascals triangle
One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.

Each number is the numbers directly above it added together.
(Here I have highlighted that 1+3 = 4)

Patterns Within the Triangle

pascals triangle 1s, counting, triangular

Diagonals

The first diagonal is, of course, just "1"s
The next diagonal has the Counting Numbers (1,2,3, etc).
The third diagonal has the triangular numbers
(The fourth diagonal, not highlighted, has the tetrahedral numbers.)

Pascal's Triangle Symmetry

Symmetrical

The triangle is also symmetrical. The numbers on the left side have identical matching numbers on the right side, like a mirror image.

pascals triangle powers 2

Horizontal Sums

What do you notice about the horizontal sums?
Is there a pattern?
They double each time (powers of 2).

pascals triangle powers 11

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