Fibonacci’s real name was Leonardo Pisano Bogollo. He was born in Pisa, Italy, in 1170. History states that Fibonacci was his nickname which roughly translates as “Son of Bonacci". His father was a merchant named Guglielmo Bonaccio.He travelled widely and traded extensively.Maths was incredibly important to those in the trading industry, and Fibonacci’s passion for numbers was cultivated in his youth. He spent his childhood in North Africa where he studied the Hindu-Arabic arithmetic system and learnt of decimal numbers.
Liber Abaci
In 1200 he returned to Pisa and used the knowledge he had gained on histravels to write Liber Abaci (published in 1202) which roughly translates as ‘book of calculations’. The book introduced Indian mathematics to the west and shared his knowledge of Arabic numerals which went on to replace the roman numeral system. The first chapter of the book states:
-Fibonacci
Problem with Rabbits
The book demonstrated how a decimal number system could make it easierto complete calculations. In order to do this Fibonacci included number problems and showed how to solve them. He posed the problem:“If two newborn rabbits (one male and one female) are put ina pen, how many rabbits will be in the pen after one year?â€The problem assumes that:
A pair of rabbits always produce one male and one female offspring
A pair of rabbits can reproduce once a month
Rabbits can reproduce once they are a month old
Rabbits don’t die within a year!
Using these assumptions, the result can be calculated using the following model: The sequence of the number of pairs is what is known as the ‘Fibonacci sequence’. It consists of a series of numbers whereby each number is equal to the value of the two numbers before it.Using this sequence, Fibonacci reached the conclusion that there would be 233 pairs of rabbits in the pen after one year!
The Golden rectangle
The Fibonacci sequence can be used to create a range of number patterns. The golden rectangle is an example whereby a rectangle’s side lengths are successive Fibonacci numbers. The example below shows the side lengths 34 x 55. The rectangle can be divided into a series of squares which also have lengths that are successive Fibonacci numbers. When an ark is drawn from one corner of each square to the next, they join to form a perfect spiral. Any two successive Fibonacci numbers have a ratio very close to the golden ratio, which is roughly 1.618034. As the numbers get larger in value, the ratio gets closer. The Golden Ratio is denoted by the Greek letter phi: φ.The Golden Rectangle can be found in many Renaissance art works including the Mona Lisa!
Fibonacci in Nature and Human Design
The Fibonacci sequence and Golden Rectangle appear surprisingly often both in nature and human designs. In nature, Fibonacci numbers manifest themselves in lots of places from the numbers of petals on a flower to the number of spirals in the seeds of a sunflower. The relationship between the Fibonacci sequence and the arrangement of things in nature is highly efficient as it allows flowers to pack in as many seeds as possible into a small space or branches to grow in such a way that allows leaves to receive equal amounts of sunlight. Fibonacci numbers have been used in lots of architectural designs including Cornwall’s Eden Project. The building is an environmental and arts education centre, and is composed of geodesic domes that are made up of hexagonal and pentagonal cells. Designed by Jolyon Brewis, the core of the building is based on nature’s architecture and incorporates Fibonacci numbers and phyllotaxis (the arrangement of leaves) in its design. This approach is labelled as ‘Biomimicry’.
This month we are taking part in The Wildlife Trusts’ #30dayswild campaign! We took a trip to Cley Marshes Nature Reserve on the north Norfolk coast to meet with their Community Education Officer, Rachael Wright. We asked her all about the campaign, why it is so important and how you can get involved!
Tell us about Cley Marshes Nature Reserve:It is Norfolk Wildlife Trust’s oldest and best known nature reserve and was purchased in 1926. The reserve includes an award-winning visitor centre, a gallery and a Wildlife Education Centre named in memory of the naturalist, Simon Aspinall.
We are well known for the birds on site. The shingle beach and saline lagoons, along with the grazing marsh and reed bed support large numbers of wintering and migrating wildfowl and waders, as well as bittern, marsh harrier and bearded tit.
[Image of Marsh Harrier, credit: Norfolk Wildlife Trust Website]
What does your role at the Norfolk Wildlife Trust involve?I organise our events programme and exhibitions. We work with local community groups and I take school groups and other education visitors out on the reserve. The Cley Marshes provides school groups with great opportunities to explore both coastal and wetland habitats!
What’s your favourite thing about your role?Working with school groups and inspiring the next generation to explore wildlife and have fun outdoors!
What is #30dayswild and how can people sign up?30 Days Wild is a Wildlife Trust campaign aimed at getting people outside enjoying the living landscape. We encourage and support people to take a little bit of time every day to do something wild! People can sign up on their local Wildlife Trust website and will receive a digital support pack with ideas, inspiration and information on local events and places you can explore! You can share your wild adventures using the #30DaysWild hashtag.
What do you have planned for #30dayswild during June?We have crafts and activities in our education centre throughout June and events on throughout the month. From nature walks to pond dipping there’s something for everyone, take a look on our website for events this June!
What is a Random Act of Wildness?A Random Act of Wildness is about making time to connect with nature around you, or doing something small yourself to help nature. Random Acts of Wildness are all about experiencing, learning about and helping your local wildlife. They can be simple, small, fun and exciting too. You can use our ideas as inspiration or get creative and make up your own!
Why is getting out into nature so important?It’s important to stay in touch with the natural world and appreciate all that nature does for us. It’s also incredibly important in our busy lives to take time to relax and exploring nature is a fantastic way to do that. A recent poll of 101 people in Norwich revealed that 90% of Norwich’s city-dwellers feel that nature is important to them but 86% of adults in Norwich don’t think that they spend enough time in nature.
What are the educational benefits of exploring nature?Many people learn more effectively through hands on activities and nature provides so many great opportunities. Watching nature events creates memories that will last forever. Every subject taught in a classroom can be taught outside in a more fun and engaging way that will inspire children for a lifetime!
A trip to the beach is often filled with excitement as young learners take on the role of adventurers and explorers! The beach environment sparks their natural curiosity and provides the freedom to explore nature in a fun, creative and practical way. Rich in different textures, smells, sights and tastes, a trip to the beach can ignite the senses and is perfect for all types of learners.
Fibonacci’s real name was Leonardo Pisano Bogollo. He was born in Pisa, Italy, in 1170. History states that Fibonacci was his nickname which roughly translates as “Son of Bonacci". His father was a merchant named Guglielmo Bonaccio.He travelled widely and traded extensively.Maths was incredibly important to those in the trading industry, and Fibonacci’s passion for numbers was cultivated in his youth. He spent his childhood in North Africa where he studied the Hindu-Arabic arithmetic system and learnt of decimal numbers.
Liber Abaci
In 1200 he returned to Pisa and used the knowledge he had gained on histravels to write Liber Abaci (published in 1202) which roughly translates as ‘book of calculations’. The book introduced Indian mathematics to the west and shared his knowledge of Arabic numerals which went on to replace the roman numeral system. The first chapter of the book states:
-Fibonacci
Problem with Rabbits
The book demonstrated how a decimal number system could make it easierto complete calculations. In order to do this Fibonacci included number problems and showed how to solve them. He posed the problem:“If two newborn rabbits (one male and one female) are put ina pen, how many rabbits will be in the pen after one year?â€The problem assumes that:
A pair of rabbits always produce one male and one female offspring
A pair of rabbits can reproduce once a month
Rabbits can reproduce once they are a month old
Rabbits don’t die within a year!
Using these assumptions, the result can be calculated using the following model: The sequence of the number of pairs is what is known as the ‘Fibonacci sequence’. It consists of a series of numbers whereby each number is equal to the value of the two numbers before it.Using this sequence, Fibonacci reached the conclusion that there would be 233 pairs of rabbits in the pen after one year!
The Golden rectangle
The Fibonacci sequence can be used to create a range of number patterns. The golden rectangle is an example whereby a rectangle’s side lengths are successive Fibonacci numbers. The example below shows the side lengths 34 x 55. The rectangle can be divided into a series of squares which also have lengths that are successive Fibonacci numbers. When an ark is drawn from one corner of each square to the next, they join to form a perfect spiral. Any two successive Fibonacci numbers have a ratio very close to the golden ratio, which is roughly 1.618034. As the numbers get larger in value, the ratio gets closer. The Golden Ratio is denoted by the Greek letter phi: φ.The Golden Rectangle can be found in many Renaissance art works including the Mona Lisa!
Fibonacci in Nature and Human Design
The Fibonacci sequence and Golden Rectangle appear surprisingly often both in nature and human designs. In nature, Fibonacci numbers manifest themselves in lots of places from the numbers of petals on a flower to the number of spirals in the seeds of a sunflower. The relationship between the Fibonacci sequence and the arrangement of things in nature is highly efficient as it allows flowers to pack in as many seeds as possible into a small space or branches to grow in such a way that allows leaves to receive equal amounts of sunlight. Fibonacci numbers have been used in lots of architectural designs including Cornwall’s Eden Project. The building is an environmental and arts education centre, and is composed of geodesic domes that are made up of hexagonal and pentagonal cells. Designed by Jolyon Brewis, the core of the building is based on nature’s architecture and incorporates Fibonacci numbers and phyllotaxis (the arrangement of leaves) in its design. This approach is labelled as ‘Biomimicry’.