My Math Clock

Absolutely arbit post ….. I am doing an intern in Zeus Numerix in Pune again this summer and am working on some really interesting stuff . All throughout the day I am generally in front of the PC studying ebooks and writing in C/C++. A change would have been kinda nice …  I decided to make a clock except that all the numbers would be represented by their mathematical significance …..(Just to get some experience on woodwork ,etc. ….. 😛 ) I got the mechanism for the clock from a local watch maker . For the base I decided to use  wood from an old unwanted cupboard . A hacksaw , hammer were good enough to cut a piece approximately 18cm x 14cm x 1cm . To drill a hole so that the mechanism could be put in place I visited our electrician . To smoothen the surfaces I used a sand paper lying around my house .For the layout of the clock i.e. the numbers etc. I used Scribus along with \LaTeX .

Finally the layout or background looked like this ….. I did also add a t denoting for the time variable …. 😉

clockdesign-page1

I referred to Wikipedia for the significance of the numbers …..

\sqrt[3]{1728} = 12 —- I choose 1728 coz its 1 less than 1729 . The smallest number to represented as a sum of 2 cubes .

0! = 1 —- Coz 0! = 1 ….

\left ( 0010\right )_{10} —- 0010 in base 10 is 2 .

FermatPrime\left[ 0\right ] = 3 —- 3 is the first Fermat Prime . All numbers satisfying F_{n} = 2^{2^{ \overset{n} {}}} + 1

2 \uparrow\uparrow\uparrow 2 = 4 —- thats the way 4 represented in Knuth’s Up Arrow Notation .

\left ( 2\varphi - 1 \right )^2 = 5 —- where \varphi is the golden ratio \varphi = \frac{1+\sqrt{5}}{2}

\mid S_{3} \mid = 6 —- 6 is the cardinality of the smallest non-abelian group .

M_{3} = 7  —- 7 is the 3 Mersenne Prime .

F_{6} = 8 —- 8 is the 6th Fibonacci Number .

3^{2^{1}} = 9 —- 9 is an exponential factorial .

\left ( 1010\right )_2 = 10 —- 1010 in binary is 10 in decimal (base 10)

\frac{\Phi_2(10)}{\gcd(\Phi_2(10),2)} = 11^{c} , {c} \in \mathbb{N} —- 11 is the second unique prime….

Finally, after the assembly it looked like this ……

Image0217

a better pic sometime sooner …..