Lets Make a Clock Based on Fibonacci Sequence

Magical Maths

[justify]Math is magical but beyond it is Logical which makes math a Fun.[/justify]

[justify]Here is one mathematical series, would you like to guess the logic for it.[/justify]

0 1 1 2 3 5 8 13 21 . . . .

[justify]I think its quite easy to crack, so here is the logic: the next number is found by adding the two numbers before it.[/justify]

0
1
1 (0 + 1)
2 (1 + 1)
3 (1 + 2)
5 (2 + 3)
8 (3 + 5)
and so on!

[justify]And we all know that this series or sequence is popular as Fibonacci Sequence. It is named after Italian Mathematician Leonardo Pisano Bogollo, his nickname was Fibonacci.[/justify]

[justify]The numbers in Fibonacci Sequence are known as Fibonacci Numbers.[/justify]

Let

n be the number upto which we want to write the fibinacci sequence.

Xn be the Fibonacci number in the sequence

So here we go for fibonacci sequence upto n = 5

n 0 1 2 3 4 5
Xn 0 1 1 2 3 5
Logic 0 1 X0 + X1 X1 + X2 X2 + X3 X3 + X4

From above table we can clearly write :

Xn = Xn-2 + Xn-1
Where
Xn = Fibonacci Number “n”
Xn-2 = Fibonacci Number “n-2”
Xn-1 = Fibonacci Number “n-1”

[justify]Here are the Squares representing a fibbonacci sequence upto n=5.[/justify]
[justify]for n = 0 we have X0 = 0 thus there is no square for it, for n = 1 we have X1 = 1 and thus represented by a unit square and thus X3 = 2 represented by 4 (2 x 2) unit square and so on![/justify]

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[justify]The above representation is made using 8 x 5 unit squares and interestingly we are going to use it as a display of our clock. But How?[/justify]

[justify]There are some other interesting things about this magical Fibonacci Sequence, Would you like to explore more and let everyone know about it by replying to this thread.[/justify]

References

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The inspiration for making this clock came from a project on Kickstarter, here is the video:

[justify]The creator of this clock is Philippe Chrétien and named this Geek Clock as a Fibonacci Clock.[/justify]

[justify]Building this clock is full of fun and required some maths to develop algorithm for clock to work as well as during reading time.[/justify]

[justify]So what do you think about this geek clock and would you like to tell us what all components required to build it.[/justify]
[justify]Also tell us what more feature you would like to add to your version of Fibonacci Clock by replying to this thread.[/justify]

Stay tuned for development ahead. Happy Making !

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Below are some images from my Build-in Progress so far which only include the display part and lighting the LEDs. BTW do you know what kind of LEDs i am using here.

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[justify]Making Circuit and Writing a code for it is still pending, Will soon update the work done right from scratch. Mean While help to draw a Circuit Schematic for this clock with the features you want.[/justify]

Stay Tuned, Happy Making!

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