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January 18th, 2013, 10:56 AM   #1
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pi clock

Hello everyone. I have been trying to solve a pi clock which is attach. I figured out most of the positioins except the 5 and 7 positions.

5 = RANK([pi,((S**1)**5))

7 = |pi, L(7,3)|

On the 5 position, I am guessing S is a sum series. I am not sure if the power is a 1. As for the 7 position, I think the L is a Eulidean norm vector.

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January 18th, 2013, 11:04 AM   #2
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Re: pi clock

I used the IMG tags to display the larger image, and then removed the now unnecessary link to the image.
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January 18th, 2013, 06:32 PM   #3
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Re: pi clock

OH WOW! THIS IS SO COOL... where can i get one of these?

[color=#008000]MarkFL[/color] , can you post the missing 1/4 picture?

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January 19th, 2013, 07:25 AM   #4
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Re: pi clock

I can not use IMG tag in my post. So here is the link to the picture above.

http://www.sbcrafts.net/clocks/clock-pi.jpg
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January 19th, 2013, 09:17 AM   #5
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Re: pi clock

For the fifth position, I think that is the first homotopy group of the sphere. No idea about the seventh position, though.
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January 19th, 2013, 10:05 AM   #6
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Re: pi clock

Quote:
Originally Posted by Petek
For the fifth position, I think that is the first homotopy group of the sphere. No idea about the seventh position, though.
I believe you are right and confirms I am on the right track. The S^^1 is a circle vector bundle. I read that the rank of a vector bundle is the dimention of its fibers. If raise to the 5th power, the rank then is 5. Cool.
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January 21st, 2013, 07:45 AM   #7
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Re: pi clock

I found the solution to the other question pertaining to 7 = |pi (sub 1), (L(7,3))|.
The L in here is the least common denominator which is 21. The pi (sub 1) of (21) is the number of prime numbers except the first one from 1 to 21 which is 7.
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January 21st, 2013, 09:41 AM   #8
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Re: pi clock

How about ?
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January 21st, 2013, 12:23 PM   #9
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Re: pi clock

Quote:
Originally Posted by Hoempa
How about ?
cos(pi) is -1, ceiling of (3.14-(-1)) is ceiling of 4.14 = 5.
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January 22nd, 2013, 11:53 AM   #10
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Re: pi clock

It was meant as a suggestion for your nice clock.
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