Who is fibonaccis mother

Pisa would is also believed to be where Fibonacci would eventually die. Years of Life. He born Pisa, and was raised Catholic. The name of his mother is unknown. He is also known to have had a brother named Bonaccinghus, but nothing of him is known to be recorded, save for his name. When he was a child, Fibonacci was intended by his father to be a merchant, and his father even enlisted him in the Pisan Republic. Although born in Italy, Fibonacci was educated in North Africa where his father was a.

Bugia, now called Bejaia a city in Algeria, Africa , and was also customs official. Fibonacci began learning mathematics in Bejaia, and, as he traveled to other countries. Below is a direct. There, when I had been introduced to the art of the Indians'. Provence, in all its various forms.

Stories From Youth. Little is known of Fibonacci during his childhood other than his education and whereabouts at the time. As a teen he moved to bugia with his. One notable moment for him was his. Fibonacci is also known to not use finger counting like many at the. As for. Some other suggestions on the name exist, but have little evidence. What did the July Revolution bring about.

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Monroe St. One of the mathematical problems Fibonacci investigated in Liber Abaci was about how fast rabbits could breed in ideal circumstances. Suppose a newly-born pair of rabbits, one male, one female, are put in a field.

Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair one male, one female every month from the second month on. The puzzle that Fibonacci posed was How many pairs will there be in one year? At the end of the first month, they mate, but there is still only 1 pair.

At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits. At the end of the third month, the original female produces a second pair, making 3 pairs in all. At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produced her first pair also, making 5 pairs.

Now imagine that there are pairs of rabbits after months. The number of pairs in month will be in this problem, rabbits never die plus the number of new pairs born. But new pairs are only born to pairs at least 1 month old, so there will be new pairs. So we have which is simply the rule for generating the Fibonacci numbers: add the last two to get the next. Following this through you'll find that after 12 months or 1 year , there will be pairs of rabbits. Bees are better The rabbit problem is obviously very contrived, but the Fibonacci sequence does occur in real populations.

Honeybees provide an example. In a colony of honeybees there is one special female called the queen. The other females are worker bees who, unlike the queen bee, produce no eggs. The male bees do no work and are called drone bees. Males are produced by the queen's unfertilised eggs, so male bees only have a mother but no father. All the females are produced when the queen has mated with a male and so have two parents.

Females usually end up as worker bees but some are fed with a special substance called royal jelly which makes them grow into queens ready to go off to start a new colony when the bees form a swarm and leave their home a hive in search of a place to build a new nest.

So female bees have two parents, a male and a female whereas male bees have just one parent, a female. He has 1 parent, a female. He has 2 grandparents, since his mother had two parents, a male and a female. He has 3 great-grandparents: his grandmother had two parents but his grandfather had only one. How many great-great-grandparents did he have? Again we see the Fibonacci numbers :. Bee populations aren't the only place in nature where Fibonacci numbers occur, they also appear in the beautiful shapes of shells.

To see this, let's build up a picture starting with two small squares of size 1 next to each other. We can now draw a new square — touching both one of the unit squares and the latest square of side 2 — so having sides 3 units long; and then another touching both the 2-square and the 3-square which has sides of 5 units. We can continue adding squares around the picture, each new square having a side which is as long as the sum of the latest two square's sides. This set of rectangles whose sides are two successive Fibonacci numbers in length and which are composed of squares with sides which are Fibonacci numbers, we will call the Fibonacci Rectangles.

If we now draw a quarter of a circle in each square, we can build up a sort of spiral. The spiral is not a true mathematical spiral since it is made up of fragments which are parts of circles and does not go on getting smaller and smaller but it is a good approximation to a kind of spiral that does appear often in nature. Such spirals called logarithmic spirals are seen in the shape of shells of snails and sea shells. The image below of a cross-section of a nautilus shell shows the spiral curve of the shell and the internal chambers that the animal using it adds on as it grows.

The chambers provide buoyancy in the water. Fibonacci numbers also appear in plants and flowers. Some plants branch in such a way that they always have a Fibonacci number of growing points. Flowers often have a Fibonacci number of petals, daisies can have 34, 55 or even as many as 89 petals! A particularly beautiful appearance of fibonacci numbers is in the spirals of seeds in a seed head. The next time you see a sunflower, look at the arrangements of the seeds at its centre.

They appear to be spiralling outwards both to the left and the right. At the edge of this picture of a sunflower, if you count those curves of seeds spiralling to the left as you go outwards, there are 55 spirals.

At the same point there are 34 spirals of seeds spiralling to the right. A little further towards the centre and you can count 34 spirals to the left and 21 spirals to the right. The pair of numbers counting spirals curving left and curving right are almost always neighbours in the Fibonacci series. The same happens in many seed and flower heads in nature.

The reason seems to be that this arrangement forms an optimal packing of the seeds so that, no matter how large the seed head, they are uniformly packed at any stage, all the seeds being the same size, no crowding in the centre and not too sparse at the edges.

Nature seems to use the same pattern to arrange petals around the edge of a flower and to place leaves round a stem.

What is more, all of these maintain their efficiency as the plant continues to grow and that's a lot to ask of a single process! So just how do plants grow to maintain this optimality of design?

Botanists have shown that plants grow from a single tiny group of cells right at the tip of any growing plant, called the meristem.