g the values not used. Algorithm Leonardos Elements, commentary to Euclids Book X, is full of algorithms for geometry. The following information regarding Algorithm was obtained from a report by Dr. Ron Knott titled Fibonaccis Mathematical Contributions: An algorithm is defined as any precise set of instructions for performing a computation. An algorithm can be as simple as a cooking recipe, a knitting pattern, or travel instructions on the other hand an algorithm can be as complicated as a medical procedure or a calculation by computers. An algorithm can be represented mechanically by machines, such as placing chips and components at correct places on a circuit board. Algorithms can be represented automatically by electronic computers, which store the instructions as well as data to work on. (page 4) An example of utilizing algorithm principles would be to calculate the value of pi to 205 decimal places.Root Finding Leonardo amazingly calculated the answer to the following challenge posed by Holy Roman Emperor Fredrick II: What causes this to be an amazing accomplishment is that Leonardo calculated the answer to this mathematical problem utilizing the Babylonian system of mathematics, which uses base 60. His answer to the problem above was: 1, 22, 7, 42, 33, 4, 40 is equivalent to: Three hundred years passed before anyone else was able to obtain the same accurate results.Fibonacci Sequence As discussed earlier, the Fibonacci sequence is what Leonardo is famous for today. In the Fibonacci sequence each number is equal to the sum of the two previous numbers. For example: (1,1,2,3,5,8,13)Or1+1=2 1+2=3 2+3=5 3+5=8 5+8=13 Leonardo used his sequence method to answer the previously mentioned rabbit problem. I will restate the rabbit problem:A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is sup...
