![]() ![]() That number φ is known as the golden number. ![]() If you divide each number of the Fibonacci sequence by its predecessor, you obtain another sequence of numbers that tends to a number. The Fibonacci sequence are the numbers in the following infinite integer sequence:Ġ, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … and so on. If it branches every month after that at the growing point, we get the picture shown here.Īgain, whether we consider the branching or the growth of new leaves on sneezewort, the sequence gives the n th Fibonacci number. Suppose that when a plant puts out a new shoot, that shoot has to grow two months before it is strong enough to support branching. ![]() This is under the unrealistic assumption that the ancestors at each level are otherwise unrelated.Īchillea ptarmica or “sneezewort” is a plant that displays the Fibonacci numbers in the number of growing points that it has. The number of ancestors at each level, F n, is the number of female ancestors, which is F n-1, plus the number of male ancestors, which is F n-2. This sequence of numbers of parents is the Fibonacci sequence. Therefore, any male bee has 1 parent (1 bee), 2 grandparents, 3 great-grandparents, 5 great-great-grandparents, and so on. Thus, a male bee always has one parent, and a female bee has two. However, if an egg was fertilised by a male, it hatches a female. The following assumptions are being made that i f an egg is laid by an unmated female, it hatches a male or drone bee. Honeybees and Sneezewort The Bee Ancestry Codeįibonacci numbers also appear in the description of the reproduction of a population of an idealised honeybees. At the end of the 4th month, the original female has produced yet another new pair, while the female born two months ago produces her first pair also, making 5 pairs.Īt the end of the n th month, we see that the number of pairs of rabbits is then equal to the number of new pairs (which is the number of pairs in month n−2), plus the number of pairs alive last month (n−1). ![]()
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