TO INFINITY AND BEYOND

  What are Odd Numbers?  Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1.  1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers. Odd numbers have the digits 1, 3, 5, 7 or 9 in their ones place. Fun Facts 1. The sum of two odd numbers is always even. 2. The product of two or more odd numbers is always odd. 3. The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd. For instance, the sum of the four odd numbers 9, 13, 21 and 17 is 60, while the sum of five odd numbers 7, 15, 19, 23 and 29 is 93.

  The Hypnotic Patterns of Sunflowers The pattern of seeds within a sunflower follows the Fibonacci sequence, or 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.. If you remember back to math class, each number in the sequence is the sum of the previous two numbers. In sunflowers, the spirals you see in the center are generated from this sequence -- there are two series of curves winding in opposite directions, starting at the center and stretching out to the petals, with each seed sitting at a certain angle from the neighboring seeds to create the spiral. According to  PopMath : "In order to optimize the filling [of the seeds in the flower's center], it is necessary to choose the most irrational number there is, that is to say, the one the least well approximated by a fraction. This number is exactly the golden mean. The corresponding angle, the golden angle, is 137.5 degrees...This angle has to be chosen very precisely: variations of 1/10 of a degree destroy completely the ...