When counting by pointing using the right hand and using the 12 finger parts on the left (excluding the thumb), I believe that the trick would be what you chose to point with! You have five (including the thumb) and this would allow you to count to 60 easily. Number each finger part on the left hand 1 to 12 and number each pointer finger on the right hand 1 to 4 (thumb counts as 0). Now, use the formula, (part #)+(pointer #)*12. Simple!

Now if you want, you could use the thumb for parts on the left for 15 part and exclude the thumb on the right for 4 pointers … and still you get 4*15 = 60! That’s some of the magic of this number … so many factors that work out so nicely! The new formula would be (part #)+(pointer #)*15. Be aware that the pointer fingers are numbered from 0 to 3 and not 1 to 4.

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]]>just for fun, we used this chain as a test: 7770011666554433222

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]]>The Fourier transform is one way that complex analysis ends up having real implications. Fourier analysis is used to analyze or synthesize basically any signal that has some sort of frequency, including sounds and images.

http://en.wikipedia.org/wiki/Fourier_transform & http://en.wikipedia.org/wiki/Fourier_transform & http://nautil.us/blog/the-math-trick-behind-mp3s-jpegs-and-homer-simpsons-face

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]]>http://www.amazon.com/Riemanns-Zeta-Function-Harold-Edwards/dp/0486417409

You would need some calculus for this book. And I can’t tell if you have studied that yet. Even without the calc. it has some nice history.

Excellent work.

S. Murray Donovan

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]]>a. a*1=0

Should be:

a. a*0=0

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