A little further towards the center and you can count 34 spirals Here is a

A little further towards the center and you can count

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A little further towards the center and you can count 34 spirals. Here is a picture of a 1000 seed head with the mathematically closest seeds shown and the closest 3 seeds and a larger seed head of 3000 seeds with the nearest seeds shown. Each clearly reveals the Fibonacci spirals: Leaf Arrangements Many plants show the Fibonacci numbers in the arrangements of the leaves around their stems. The leaves are often arranged so that leaves above do not hide leaves below. This means that each gets a good share of the sunlight and catches the most rain to channel down to the roots as it runs down the leaf to the stem. Leaves per turn o The Fibonacci numbers occur when counting both the number of times we go around the stem, going from leaf to leaf, as well as counting the leaves we meet until we encounter a leaf directly above the starting one. 8 | P a g e
o The number of turns in each direction and the number of leaves met are three consecutive Fibonacci numbers. o For the lower plant in the picture, we have 5 clockwise rotations passing 8 leaves, or just 3 rotations in the anti-clockwise direction. o This time 3, 5 and 8 are consecutive numbers in the Fibonacci sequence. o This can be written as, for the top plant, 3/5 clockwise rotations per leaf (or 2/5 for the anticlockwise direction). o For the second plant it is 5/8 of a turn per leaf (or 3/8). o The leaves here are numbered in turn, each exactly 0.618 of a clockwise turn (222.5°) from the previous one. o The pattern continues with Fibonacci numbers in each column. Conclusion I learned that plants are shaped in Fibonacci’s number because it is the most efficient way to have seed or leaves in an area. The tightness of the seeds allows for more seeds on the plant. . Many plants show the Fibonacci numbers in the arrangement of the leaves around the stem. I learned that the leaves on plants are staggered in a spiral pattern to permit optimum exposure to 9 | P a g e Leaf number Turns clockwise 3 1 5 2 8 3
sunlight. Also I learned that, in the case of tapered pinecones or pineapples, we see a double set of spirals, one going in a clockwise direction and one in the opposite direction. When these spirals are counted, the two sets are found to be adjacent Fibonacci numbers. 10 | P a g e

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• Winter '16
• Gray
• Plants, Fibonacci number