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This time I present you a new version of the fantastic Fibonacci clock published here by pchretien:
https://www.instructables.com/id/The-Fibonacci-Clock
The original idea of this version of the Fibonacci Clock is not mine, it is an idea belonging to a friend, artmaker43.
Originally artmaker43 developed Fibonnaci Clock.exe and Fibonnaci Clock Screensaver.exe, Windows executables that use the first five numbers of the Fibonnaci sequence (1, 1, 2, 3, 5) using squares with those values along each side. This simulates counting all the way to 12. Then by keeping track of the number of 12s (plus the values less than 12) with painted squares, one can construct a 24-hour clock.
This Fibonacci clock version is a little bit different to the original one:

The clock is divided into three independents zones: hours, minutes and seconds that use the Fibonacci sequence (1,2,3,5) to simulate counting all the way to 12.
In the minute and second zones we can find 4 labeled circles lighted by leds: 12, 24, 36 and 48 to indicate when the counting is greater than the ones
In the hour zone we can find one labeled circle (PM) to indicate when the current hour is on the second 12-hour period (from noon to midnight).
It uses three buttons mounted on the backside of the clock to set the hour or the minute.
It uses a DS3231 I2C real-time clock with battery input to set and maintain the time.
I hope you like it

Supplies:
24pcs 1bit WS2812B WS2811 IC 10 mm * 3 mm DC5 V (RGB LED)
1 ARDUINO MEGA 2560 R3 or compatible microcontroller
3 mini interruptors
1 AC-DC 100V-220V to 5V Mini Power Supply Module
1 DS3231 I2C real-time clock (RTC), with battery input to maintain accurate timekeeping
Plywood
Wood
Wooden square rods
Methacrylate
Transparent vinyl
Cardboard
Permanent marker
Plastic letter template
Wires
Soldering iron”

Link to article