# Fibonacci Spiral Clock (Instructables)

By Bushra Juwairia Mulla

Clocks have been part of human lives since ancient times. People used to measure time using sundials and hourglass. The modern analog clock which we see today came into existence in the 15th century. Since then most of our analog clocks have had straight needles for their hands. In this Instructable we are going to build a clock with the Fibonacci spiral hour hand.

#### Supplies

Pencil
Ruler
Paper
Compass
Protractor
Cd marker/ permanent marker
A4 size paper
Sheet metal 400*90*1 mm
Tin cutter
Drill machine
Vise
Empty spray can
Mallet

Old analog clock machine

Before understanding the Fibonacci spiral we need to understand the Fibonacci number and Fibonacci sequence.
Fibonacci numbers form a sequence such that each number is the sum of the two preceding ones, starting from 0 and 1.
So, 0+1=1, 1+1=2, 2+1=3, 3+2=5, 5+3=8, 8+5=13…
We get this sequence:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…
The Fibonacci spiral is a spiral that is built by constructing arcs that connect the points of these squares based on the Fibonacci sequence that is assembled in a spiral pattern.
A Fibonacci spiral gets wider or gets further away from the center for every quarter turn it makes.

So far we have talked about the Fibonacci sequence and Fibonacci spiral but what/who is Fibonacci?
Leonardo of Pisa, called Fibonacci, was a medieval mathematician  (1170 – c. 1240).

Fibonacci is famous for two major contributions to the mathematical world.
Fibonacci popularized the Hindu–Arabic numeral system in the Western world primarily through his book Liber Abaci (Book of Calculation).
The send one was an answer to a popular number riddle: If a pair of rabbits, male and female, can mate and every month their offspring produce a pair of male and female rabbits. How many rabbits will there be in one year?
The answer to this riddle gave birth to the Fibonacci sequence.
Can you solve this riddle?
Fibonacci spiral is extensively used in art and photography.

view original instructable . .