Math-Physics Rainbow Clock




Introduction: Math-Physics Rainbow Clock

About: I have a master's degree in physics and my hobbies are: 3D printing, CAD design, arduino, astronomy, astrophotography, cosmology and sci-fi :)

A while ago I had and idea to create my own Physics/Math clock, so i started to design it in Inkscape . Each hour, from 1 to 12, I replaced with Physics/Math formula:

1 - Euler's equation

2 - Integral

3 - Trigonometric function

4 - Integral of trigonometric function

5 - Cube root

6 - Factorial

7 - Limit

8 - Fibonacci sequence

9 - Logarithm

10 - Summation

11 - Differential

12 - Product operator

In addition I decided to color the the hours according to rainbow pattern starting from Red to Purple.


- Clock mechanism

- Double sided tape

- 4 x M3 x 30mm bolt with nut

- A4 photo paper (or A3 for larger version)

- A4 3mm plywood (or A3 for larger version)

- A4 3mm clear perspex (or A3 for larger version


- Jigsaw

- Drill

- Scissors

- Screwdriver

- Color laser printer

- Laser cutter (optional)

Step 1: Assembly - Step 1

- First you need to cut round plate for your clock. For that you can use either jigsaw or laser cutter (dxf file attached) if you have access to one.

- For large A3 version cut disc of 295mm diameter and for A4 smaller version disc of 205mm diameter. You will need one disc cut in plywood and one in clear perspex.

- Drill 10mm hole in the center of plywood and perspex discs for the clock mechanism.

- Drill 4 x 3mm holes round the edge of both discs for mounting the cover

Step 2: Assembly - Step 2

Now you need to print the clock plate preferably on good quality photo paper (there are two versions available, A4 and A3).

If you have laser cutter, you can engrave plywood instead printing it on the paper. For better contrast you can engrave first and then use so called kiss-cut technique to increase contrast. Kiss-cutting is basically setting up you laser cutter to cutting mode but reducing the power by 60%-70% and increasing speed by 50%-70%.

Once you have your clock plate printed cut it out and mount on plywood plate using double sided tape (see picture above).

Step 3: Assembly - Step 3

Finally mount the clock mechanism and clear perspex cover.

For that you have 4 x 3mm holes around the disc and use M3 x 30mm bolts. You will need to add some spaces between plywood and perspex discs and you can use 4 to 5 nuts.

Now all you need is a battery and you are done.

Enjoy! :)

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    1 year ago on Step 3

    Good work, the only mistake I see is that e^(-i*pi) is still -1, not 1, but great idea overall !


    Reply 1 year ago

    Hi, thank you and you're right. It suppose to be -e(i*pi). Thanks for noticing I will correct that.


    1 year ago

    Innovative idea!!! 👏👏👏