THE FIBONACCI SERIES

1,1,2,3,5,8,13,21,34,… This succession in which each number is obtained by the sum of the two numbers that precede it, is named after Leonardo Pisano known as Fibonacci (1175-1240), a 13th-century mathematician. His father was a merchant who had constant contact with the peoples of North Africa, so Leonardo had the opportunity to travel to Egypt, Syria, and Greece and to meet leading Arab mathematicians and learn algebra and the Indo-Arabic notation system that has come down to us. In 1202 he wrote the Liber Abaci, a work that introduced Europe to the Indo-Arabic system of notation, decimal numeration and the zero-or zefr, from the Arabic zefiro-that is, empty number like the “breath of wind,” which, by moving digits as the wind moves things, changes their value even in its insubstantiality.

One of the peculiarities of Fibonacci numbers is that they are often found in nature. What makes this connection interesting is that by following the Fibonacci sequence, flowers can maximize the space and effectiveness of their exposure to sunlight and pollinating insects. An arrangement of petals or seeds that follows this sequence allows flowers to have optimal positioning to catch light and insects from different angles. For plants, carrying multiple seeds is advantageous because it increases the species’ chances of reproducing. However, it is important to note that this rule does not apply to all flowers, as there are many factors that influence the number of petals, including genetics, environment and other variables.

Educational links: irrational numbers, mathematics and art

WEBSITE: Music and Fibonacci series (link)

DIDACTIC MATERIAL: DOSSIER – (ITA) (Cap. Fibonacci series)

For this exhibit, several solutions can be adopted for the visualisation of content on webpages, and AR content can also be created using downloadable markers.

To be able to realize the AR experience, we recommend using the AERO app for mobile device (c) Adobe software (see link below), which is free software, upon registration, and intuitively allows you to create AR content. Specifically, after downloading the software, use the TAGs that can be downloaded from this site, and create associated content (3D models, video, audio, or images).

We recommend downloading the software for mobile version, and duplicate (Apple TV if you use IPAD to connect with a big screen), in a TV so you can see the result, for example, in the vertical screen installed in the pallet.

• AERO (Adobe software – free license)
• ONIRIX Web solution for AR (free – with login)
• Site with 3D models to download