Chapter 12.1, Problem 100AYU

To determine

To investigate:The various applications that lead to Fibonacci sequence.

Explanation of Solution

Use of Fibonacci numbers in visual arts

Artist Mario Merz made the Fibonacci sequence a recurring theme in his work Examples are the Chimney of Turku Energia in Turku Finland featuring the start of the Fibonacci sequence in 2m high neon lights and the representation of the first Fibonacci numbers with red neon lights or one of the four-faced dome of the Mole Antonelhana in Turin Italy part of the artistic work II voio del Numen ("Flight of the numbers")

Fibonacci numbers have also been used in knitting to create aesthetically appealing patterns

The artist Martina Schettina uses Fibonacci numbers in her paintings Her "Mathernagic paintings" were shown at the Museumsquartier Vienna in 2010

Use of Fibonacci numbers in architecture

The sequence has been used in the design of a building the Core at the Eden Protect near St Austell Cornwall England The Eden Protect is a visitor attraction in Cornwall in the United Kingdom including the world's largest greenhouse Inside the artificial biomes are plants that are collected from all around the world The protect is located in a reclaimed Kaolimtept located

Use of Fibonacci numbers in financial market

Stock traders frequently look to the "Fibonacci retsacementwhen predicting future share prices In finance Fibonacci retracement is a method of technical analysis for determining support and resistance levels They are named after their use of the Fibonacci sequence Fibonacci retracement is based on the idea that markets will retrace a predictable portion Of a move after which they will continue to move in the original direction