# GC42CYW Fibonacci vs Lucas (Unknown Cache) in Madeira Archipelago, Portugal created by varelatx

- by Alex Meyer
- in World
- — Oct 21, 2017

** For this cache you will have to search for the Fibonacci and Lucas sequences. **

** Leonardo Fibonacci **, also known as Leonardo of Pisa, Leonardo Pisano or even Leonardo Bigollo, (Pisa, c.1770 - Pisa ?, c.1250) but, most of the time, simply as Fibonacci was an Italian mathematician, regarded as the first great European mathematician of the Middle Ages. He is considered by some as the most talented Western mathematician of the Middle Ages. He became known for the discovery of the Fibonacci sequence and for his role in the introduction of Arabic numerals in Europe. With other mathematicians of his time he contributed to the revival of the exact sciences after the decay of the last period of antiquity classical and early medieval, but Fibonacci excelled in writing Liber Abaci, in 1202 (updated in 1254), the first major work on mathematics since Eratosthenes, that is, more than a thousand years before. Liber Abaci introduced the Hindu-Arabic numerals in Europe, in addition to discussing many mathematical problems.

Fibonacci is also known by the numerical sequence named after his death as a Fibonacci sequence. He did not find out, but used it as an example in Liber Abaci.

** The Fibonacci sequence consists of a succession of numbers, the first two numbers of the sequence being 0 and 1, the following numbers will be obtained by the sum of its two predecessors. **

After your research you will have to solve the following sums / equations by looking at the Fibonacci and Lucas sequences and then find out the coordinates of the Cache.

** Lucas sequence ** / p>

* Note: NS - Sequential number *

8 + 6 = ** A1 NS **

** Fibonacci sequence ** * *

* NS * NS NS NS NS CACHE COORDINATES ** B2 ** ** A1 **, < ** A2 **

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** B2 ** B2 photos of the cache location.

** To find this cache, you need to research about Fibonacci and Lucas sequences. **

** Leonardo Fibonacci ** (Pisa c. 1170 - Pisa? c. 1250) also known as Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Bigollo, or, most commonly, simply Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages."

Fibonacci is best known to the modern world for the spreading of the Hindu-Arabic numeral system in Europe, primarily through the publication in 1202 of his * Liber Abaci * * (Book of Calculation) , and for a number sequence named the Fibonacci numbers after him, which he did not discover but used as an example in the Liber Abaci . *

** In the Fibonacci sequence of numbers, each number is the sum of the previous two numbers, starting with 0 and 1. **

He most notably invented the Tower of Hanoi puzzle, which I marketed under the nickname * N. Claus of Siam *, an anagram of * Lucas d'Amiens *, and published for the first time a description of the Dots and Boxes game in 1889. Lucas died in unusual circumstances. At the banquet of the annual conference of the Association française pour l'avancement des sciences a waiter dropped some crockery and a piece of broken plate cut Lucas on the cheek. He died a few days later of severe skin inflammation probably caused by septicemia. Lucas was only 49 years old when he died.

** In the Lucas sequence of numbers, each number is the sum of the previous two numbers, starting with 2 and 1. **

* Note *

* Note *

: NS - Number sequence

8 + 6 = ** A1 **

NS NS NS = ** A2 **

** Fibonacci Sequence ** * (with 0 inclued) *

* Note: NS - Number sequence * (i.e., NS = NS), and (3) NS (3) O ** B2 ** ** C ** ** OORDINATES OF THE CACHE **

**A2**

W 17 ** B1 **, ** B2 **

** Please do not publish photos of the location of the cache. **