January 4, 2008 5:56 PM PST

A clock for math whizzes

by Stephen Shankland
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Update 7:40 p.m. PST January 6: Thanks to alert reader OneGB for supplying the origin of the clock. The central design may look like a bungled biohazard symbol, but it in fact is another three-nine reference, the "hurricane" symbol of a high-IQ organization called the Triple Nine Society. The group also sells Triple Nine aprons, mugs, bibs, underwear, and other whatnot at CafePress.com.

Math enthusiasts who don't want to move totally into the digital realm might appreciate this analog clock.

Each number is expressed as a calculation involving three instances of the number 9.

For example, 5 o'clock is the square root of nine (3), factorial (3x2x1 = 6), minus 9/9 (6-1 = 5).

The trickiest time is 7 o'clock, whose calculation works out to 6.99999..., with an infinite number of nines. Wikipedia assures us that 0.99999... really does equal 1, so no worries that the clock is cheating there.

While we're on the subject of archaic clock technology, how come clocks and watches with Roman numerals represent 4 o'clock with IIII rather than the traditional IV? A friend told me it was because it was easier for illiterate people to comprehend, but I'd love to see some history about this.

(Via Bad Astronomy Blog.)

Stephen Shankland writes about a wide range of technology and products, but has a particular focus on browsers and digital photography. He joined CNET News in 1998 and since then also has covered Google, Yahoo, servers, supercomputing, Linux and open-source software, and science. E-mail Stephen, or follow him on Twitter at http://www.twitter.com/stshank.
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IIII vs IV
by kallemia January 4, 2008 7:18 PM PST
Lots of supposed reasons.... take your pick at: http://www.ubr.com/clocks/frequently-asked-questions-faq/faq-
roman-iiii-vs-iv-on-clock-dials.aspx
Reply to this comment
This seems like a plausible explanation...
by MCOjerry January 5, 2008 8:04 PM PST
http://www.bhi.co.uk/hints/roman.htm
View reply
by Fe1d March 3, 2009 8:36 AM PST
The two most compelling reasons: (1) Roman numerals were based on tally sticks without subtractive notation, which later became optional, and only became standard in modern times. (2) By using IIII, clock makers could cast one mold of VIIIIIX four times, then separate them as V IIII IX, VI II IIX, VII III X, and VIII I IX to make all the numbers.
http://en.wikipedia.org/wiki/Roman_numerals#IIII_vs._IV
IIII vs IV
by Hogleg MacDrillun January 4, 2008 7:42 PM PST
My brother (the horologist) tells me that it is assumed that "IIII" balances out the "VIII" from the 8 opposite the 4 when painting watch dials. He has added that historically, no one is sure why they use "IIII", and he has heard about every excuse. I asked him once about the illiteracy story and he basically didn't buy it, arguing that the kind of people likely to own a watch were most likely capable of simple arithmetic.
Reply to this comment
True, but there were also public clocks
by Shankland January 4, 2008 10:41 PM PST
I'm sure there was a correlation with wealth, education, and the availability of clocks, but there were a fair number of publicly visible clocks in urban areas, notably churches I'd think. Anyway, just a thought.
View reply
why not...
by megapenitent January 4, 2008 7:52 PM PST
why not (√9) + (9/9) for 7?

PS: sorry if someone already posted that one, my mac is suffering
from crippling lag.
Reply to this comment
square root character is not recognized, apparently...
by megapenitent January 4, 2008 7:55 PM PST
and i also left out the factorial, so it would be ([SQUARE ROOT]9)! +
(9/9)
View reply
Re: Why not Fact(SqrRt(9)) + (9/9) ...
by Rarb3 January 5, 2008 11:47 AM PST
Because it wouldn't be very imaginative, given that the solution for 5 was almost the same:
Fact(SqrRt(9)) - (9/9)
View reply
Since a source for the clock wasn't given...
by OneGB January 5, 2008 4:37 AM PST
Check out the Triple Nines:
http://www.triplenine.org

Or you can get the clock at their cafepress site:
http://www.cafepress.com/triplenine#housewares
Reply to this comment
Why not...
by p_manohar January 5, 2008 12:05 PM PST
Well, I would say why not use the following -
(9/sqrt9)+(9/sqrt9)+(9/9)?
Reply to this comment
Too Many Nines
by markdoiron January 5, 2008 1:43 PM PST
The clock uses only three instances of nine at each hour digit. --mark d.
Stretching It
by atanasentchev January 5, 2008 12:22 PM PST
A kind of funny concept that doesn't quite click...

Like you need to actually perform the calculations to find out what time it is. Some of the most popular watch interfaces do not include any numbers on the face (Rolex). Others (Movado), do not include ANY MARKERS, except for a shiny thingy at 12.
Reply to this comment
but very cool nonetheless.....
by otterskibum January 5, 2008 2:44 PM PST
That's what makes it so unique and very cool. Very different from
any other clock....
Hmm... what time is my date again?!
by andyengle January 5, 2008 5:51 PM PST
Oh wait, with this clock I probably won't be getting any dates, so it
doesn't matter.
Reply to this comment
Also 7.000...01 = 7
by mbelisle January 6, 2008 2:36 AM PST
But 0.99999... really is equal to 1, so the result is exactly 7 and just
as accurate. Summarizing a proof in the Wikipedia article, 1/9 =
0.11111.... Hence, 9/9 = 9*1/9 = 0.99999... = 1.
Reply to this comment
See megapenitent comment above for context
by mbelisle January 6, 2008 2:40 AM PST
This was supposed to be a response to "Why didn't CNET code
the..." by megapenitent above. The "Reply to Story" and "Reply to
this Comment" buttons are like right next to each other.
7.0000....01 is not a number
by volterwd January 6, 2008 7:32 AM PST
unless its a finite length.

In other words there is no number immediately after 7. Or immediately after any other number for that matter.
7
by godseyesore January 7, 2008 1:38 PM PST
6.999.....to infinity does not equal 7.
Clock is broken from get-go!
Reply to this comment
If this was tongue in cheek...
by volterwd January 7, 2008 1:49 PM PST
where was your tongue... 6.999... is 7.
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About Underexposed

This blog sheds light on digital photography subjects such as cameras, photo editing, and Web sites. Shankland joined CNET News in 1998 after a five-year stint as a science writer. He's a lab rat who grew up in Los Alamos, N.M., and graduated from Harvard.

Contact Stephen at Stephen.Shankland@cnet.com

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