A Golden spiral is very similar to the Fibonacci spiral but is based on a series of identically proportioned golden rectangles, each having a golden ratio of 1.618 of the length of the long side to that of the short side of the rectangle: Fibonacci popularized the Hindu–Arabic numeral system in the Western world primarily through his book Liber Abaci (Book of Calculation).

The most common appearances of a Fibonacci numbers in nature are in plants, in the numbers of leaves, the arrangement of leaves around the stem and in the positioning of leaves, sections and seeds. The Fibonacci spiral gets closer and closer to a Golden Spiral as it increases in size because of the ratio of each number in the Fibonacci series to the one before it converges on Phi, 1.618, as the series progresses (e.g., 1, 1, 2, 3, 5, 8 and 13 produce ratios of 1, 2, 1.5, 1.67, 1.6 and 1.625, respectively) Anyway, just messing around with the concept. I could see how the software coding for adding a third tally would not present huge problems, but have no idea what complexity it introduces in the hardware.

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Fix the minute and hour hand( Fibonacci spiral) as shown in the picture. This will be the base position that is both the hands are pointing towards 12. Mark this point by tracing the inner as well as the outer curve of the Fibonacci spiral on the metal sheet using a pencil/marker. 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 spiral needle needs to be lightweight as well as stiff. This is the step that took a lot of time since I had to search for different materials. The solution that came to be was to use a 1mm plexiglass sheet but cutting the sheet into a spiral was a big hurdle. I came across an empty spraying can and experimented on it and was pretty much successful, so let's get started. Place the protractor on the point and mark the points on the circle with 30-degree increments. This will be helpful when marking the numbers in the step ahead. Here’s what he did. It is possible to arrange squares whose side lengths are the numbers in the Fibonacci sequence into a rectangle. (This is the famous golden rectangle - here’s a previous post about that).

The Fibonacci sequence is the sequence beginning 1, 1 and where each number is the sum of the previous two. Its first five digits are: Before understanding the Fibonacci spiral we need to understand the Fibonacci number and Fibonacci sequence.

Now, measure 300 mm and mark a point on the centerline from the top edge(short edge ) of the sheet metal. Draw a perpendicular line from this point. Use this line as a base for bending the sheet. Pinecones and pineapples illustrate similar spirals of successive Fibonacci numbers, with the example below showing the alternating pattern of 8 and 13 spirals in a pine cone. Fibonacci numbers form a sequence such that each number is the sum of the two preceding ones, starting from 0 and 1. If you sum the squares of any series of Fibonacci numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number. This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series: