Those patterns is extremely pleasing to the eye. We now have scientific evidence that our brains automatically recognize this pattern. Whether we have been genetically programmed to like it or we find it pleasing due to all the examples around us, the golden ratio has been used for a long time. 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. Once the glue is dry drill a hole on the center of the spiral of 5 mm( this corresponds to the hour shaft diameter as measured in the earlier step). Now start cutting the outer curve of the spiral using a tin cutter. Make sure your safety gloves are on, the metal burrs are razor sharp and can injure you. Take the help of an experienced person if you think you cannot handle it. 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. 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. The second idea I had, which is still half-baked, revolved around playing with primary colors and secondary ones. If either a white or blue or green or red square were to move towards (or suddenly be) grey, purple, yellow, or orange -- then this could also serve as a signal about how many minutes, 0 thru 4, to add.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: 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.

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: 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 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. Before understanding the Fibonacci spiral we need to understand the Fibonacci number and Fibonacci sequence.

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Philippe Chrétien from Montreal, Canada, noticed that these numbers are all you need to express all the numbers from 1 to 12. 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 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. 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.