The Patek Philippe Caliber 89 and Horology’s Easter Problem
hodinkee.com
hodinkee.com
They have thousands of timepieces, some dating back to 1530. To see what people have been able to accomplish with nothing but springs and tiny gears is nothing short of mind-blowing. As a technologist it's pretty humbling, considering all the advantages we have today and yet ancient watchmakers could do this work literally with nothing but hand tools.
It's a fantastic museum. Several floors jam-packed with incredible watches. Really helps you understand where modern Patek's price tags come from :)
The same article also explains why it is a hard problem:
"Easter calculations are based on agreements and conventions, not on the actual celestial movements nor on indisputable facts of history."
Sounds a lot like many user requirements I have had to code for.
From: Jonathan Leffler
# [British Summer Time] is fixed annually by Act of Parliament.
# If you can predict what Parliament will do, you should be in
# politics making a fortune, not computing.
https://github.com/lattera/glibc/blob/master/timezone/europeThe earth's rotation changes by unpredictable amounts, so it would be impossible to predict in advance purely based on celestial movements.
[1] http://www.downforeveryoneorjustme.com/www.tracyplatt.com
Also, everything about them (when done well) sounds like a top developer's wet dream, from the design, development, and down to the extremely rigorous QA processes around building these mechanical marvels.
In particular, this "inside rolex" piece from the Hodinkee website is a must-read, and I believe was also posted to HN a few months ago: https://www.hodinkee.com/articles/inside-rolex
I just can't get into it. I think an impressive electronic watch is more interesting to me; though there doesn't seem to be much interest in these being made, so the most fun I can have is with Timex. I think smartwatches are the electronic equivalent of mechanical watches: inelegant, gaudy, and utterly pointless.
A digital watch like Casio or Timex are designed to be practical, but your taste is pretty....unorthodox if you think a Timex or Casio looks better than a beautifully crafted mechanical piece.
Your statement about smartwatche is also...bizarre, especially since you just praised Timex. But again, I think you have a very different definition for words such as "elegant" and "gaudy" than most people out there.
Yeah, and electronic watches are designed to function without mechanical intervention. You say this like electrical systems are somehow less reliable than mechanical systems; and it couldn't be further from the truth.
Complication is inelegant. Adding jewels to hidden parts of your mechanism is bound to make it more prone to failure, considerably harder to build, and with no tangible benefit. It's a status thing, like pouring champagne on the floor or having a seven-car garage full of vintages and imports. In my opinion, all this flaunting shows a lack of class. It becomes about how much of your income you put toward useless nonsense.
I put complicated mechanical watches right up there with oxygen-free all-silver HDMI cables, pretending that vinyl sounds better than CD, and using "organic" household cleaners.
Try not to compare peoples' hobbies to "pouring champagne on the floor." You may not think they're legitimate, but that doesn't make it so. I'm happy to admit that mechanical watches are inefficient and poor timekeeping devices compared to modern technology. But they're supposed to be a form of art that you personally enjoy that happen to tell the time. Comparing mechanical watches to electronic ones on the basis of utility is missing the point (and so is calling them a status symbol).
I'm a software developer, I've worked at YC startups as well as big companies like Google, and I have a degree in Computer Engineering so I know the hardware side of things as well.
And I freaking love, love mechanical watches.
At my first Job at CIT one of the other tenants had a side biz in rebuilding spitfires and we used to all go out a watch when they where showing it off - if seeing and hearing a spitfire doesn't make your heart sing then I am sad for you
Only recently have we started seeing more advanced materials/alloys being used in lieu of Rubies.
I think you may be referring and responding negatively to decorative watches found in fashion stores typically sold for a few hundred dollars. The mechanical watches discussed here and in the original article are in a different universe.
I'm sorry, but you sound extremely shallow minded, if not downright bitter, about some people's hobby just because they are expensive.
And no, jewels are used in watch movements for legit reasons, and no haute horology manufacturers add them for the sake of status symbol, you are just making it up there.
I actually don't think you know much about mechanical watches at all, and if you think mechanical engineering is the same as Monster's cables...then I really don't know what to tell you.
But hey, those stupid NASA astronauts must be vinyl hipsters like you said right? https://www.hodinkee.com/articles/actual-pictures-actually-s...
The "jewels" you find inside a watch movement actually do serve a purpose. They're there to reduce the friction between metal parts at the points of heaviest wear like bearings and pivots. Also, they are mostly extremely inexpensive synthetic rubies.
Hopefully I don't offend anyone, but I have noticed that many software devs these says are just that, software devs, instead of being engineers with a passion for designing and building amazingly complex machines/systems.
If you call yourself an engineer and can't bring yourself to appreciate the beauty of a jet engine or the construction of a F1 race car or the craftsmanship of a Patek Philippe watch, then I actually lose a bit of respect for you.
I find jet engines utterly uninteresting and I'm a software engineer. They're cool...I guess. I know Elon Musk did something cool with one that landed upright or something. That's about it.
I'm sure a lot of things are really cool that I almost never think about. But I have no impulse to go learn about those things to satisfy a childlike sense of wonder. They just don't appeal to me.
I do like mechanical watches though, and I own a Lange myself. But I wouldn't lose respect for an engineer of any sort who doesn't appreciate intricate mechanical watches, because it's not going to appeal to someone just because of their profession. That's kind of a polarizing perspective to have, no? You can't really dictate what people should get passionate about.
That being said, I will be reading this article.
If one of the design constraint is "no use of any electricity allowed", and the requirement is a perpetual calendar, then Patek's design is absolutely amazing in both functionality and reliability.
In my experience, many software developers build unnecessarily complex systems for various reasons which are well known (i.e. much of the complexity is accidental).
And I say this as someone who loves mechanical watches. But really all they are over complicated creations for the sake of what can be reduced to art. And I'm completely fine with that.
Finding a working early 80's quartz in good condition is already hard and expensive. Repairs (or even finding a suitable battery) might be impossible
Finding a 70's or 60's working automatic in good condition is trivial and cheap. Repairs are easy.
Of course, upgrading every few years to the latest cheap quartz might still be cheaper than a mechanical watch, but there's something nice to be said about using a device that can perform its function for 40+ years with ease, and basically indefinitely with minimal maintenance.
I'm fortunate enough that my grandparents had some of their really old watches sitting in a drawer. For most of them, I just picked it up and it worked. They had no need for them, so they're in my care now. Got lucky :)
You really can't say with anything else over 60 years old. Heck I'd be ecstatic if any of my code even runs/compiles in 30 years from now, let alone 60. But I'm pretty certain the same old watches will still be ticking when it's time for my grandchildren to rummage through my drawer and find them happily awaiting another windup. Timelessness in a timekeeping device is part of the appeal.
If a similar Chinese sweatshop were to make a perfect functional replica of this Patek Philippe watch (without having had physical access to it) at 1/100th the cost would you express similar appreciation? Would you wear it with the same level of pride as you would a Patek Philippe watch?
The answer is "yes" of course a Chinese made Patek Philippe would be an object of appreciation. But there isn't one.
There's actually a rich history of Chinese watch making and it's worth reading up on if you're into mechanical watches at all: http://chinesewatchwiki.net/History_of_Chinese_watchmaking
In fact the project 304 chronograph is still considered collectible, even the reissues: http://forums.watchuseek.com/f71/review-ed1963-chinese-milit...
However, back to answer your question precisely, China simply doesn't have an industry or heritage or history that can support a Patek, which is why it doesn't exist. Even with the history I've linked to above, the Swiss industry is light years ahead and it's not even close.
I don't think you should let your bias, if any, of the very inferior counterfeit movements and counterfeit casing industry color your opinion of watches. Anyone in the know would trivially identify the differences. To your analogy it would be like producing a cheap engine and simply calling it an F1 engine. That's not how it works.
Furthermore, if you asked this theoretical Chinese sweatshop to build a modern highly complicated Patek Philippe, it wouldn't cost 1/100 the price, it would cost 100x the price if not more. They'd have to start by sourcing synthetic materials, reinventing tools, or recreating components that a theoretical sweatshop wouldn't even have access to. Part of why counterfeits are so cheap is because they source really cheap Japanese or local Chinese movements that have had decades of build up to scale to the current counterfeit prices. Meanwhile, the real deal modern watch movements are decades more advanced.
The watch in question made in 1989 is valued at 6 million dollars (according to wikipedia). OK fine, that might be an extreme example. Lets take a typical Patek watch which costs tens of thousands of dollars.
I can't believe that the price reflects the materials, the complexity and labour that went into the watch. I admit i know next to nothing about horology but as a software engineer i have trouble believing it has more complexity than a similarly priced family saloon or even a mobile phone, or a microprocessor.
My point with the Chinese sweatshop example was its really about the image that they want to be associated with. There seems to be a typical formula: An aristocratic sounding family name of the founder, a founding date sometime in the 1800s and a founding place in Geneva or some town or village with a quaint name in France. A making-off video which features men with Germanic features, wire-frame glasses and who is never smiling(we're portraying gravitas here), delicately assembling the watch components. Oh yeah and make sure you get celebrities, powerful politiciansand pro athletes to be photographed wearing the watch (the fact that some of these people couldn't reasonably afford such watches seems to suggest they were given the watch for free or even paid to wear them).
edit: I know there are examples of watch manufacturers like Richard Mille who break the mould (at least with the historical legacy aspect), but it seems to be an unclear path to convince the gatekeepers of this clique that you're not just another poser trying to pry hundreds of thousands of dollars from the wealthy.
As a software dev, you're aware of diminishing returns. Fine watchmaking is an extreme case of this. The reason it costs what it costs is because everything is done to an extreme, by hand. Engraving, finishing are all unique on each piece. Quality assurance makes sure that it's passed a variety of brutal tests (and if it doesn't, you're on the hook for fixing it for free under warranty). That's not even getting to the raw material costs, which of course is precious metal 18K for the casing and silicons and alloys and synthetic lubricants for the movement. All of these pieces are proprietary and uniquely fit for the watch, so the Chinese sweatshop would need to reach a certain scale before they could produce it at profit. Just take a look at the extreme lengths Rolex goes to manufacture these watches with automation (linked in the original comment post). Patek has to do most of that by hand to keep each piece unique.
Is there a high margin in the business when done right? Absolutely. Should the Chinese all give up the counterfeit industry and move in high quality watches instead? No, because the pricing would be within the same order of magnitude (though no longer out of reach like the earlier example with the highest levels of watch making) with large gains on labor and marketing cost but minus the heritage and history to actually sell the pieces.
I think you're inaccurately making some assumptions about watchmaking that's fundamentally cutting your estimates down significantly to state that a Patek could be manufactured at 1/100th the price by a sweatshop or even 1/10th. It can't be done for the same reason why there isn't a Chinese Bugatti Veyron. The product is that good and true expertise and industry is backing that product.
At the end of the day, we don't need to argue hypotheticals. If this were possible, it would already be done. In the wild, there are plenty of cheap counterfeit watches with Patek written on the dial but there are no "fake" Patek level watches that a person familiar with watches wouldn't immediately spot as a fake.
And ultimately it's disengenuous to make any argument using "image" or marketing as a basis when it's done with fanfare plenty in our industry (a la Apple)
Watchmaking and does take a tremendous amount of labor, a watch made by a sweatshop in China will simply not have the same precision and reliability, let alone the fit and finish of its movement inside.
You are confusing complexity with ease of manufacturing. Some very complex objects are actually much easier to mass produce, such as a family sedan or a CPU, simply because we've gotten very, very good at it by now and the economy of scale makes it easy and cheap.
But for a watch, since there is no such economy of scale, and the customers demand those watches to be hand made, then the amount of man hour and labor that's put into making a perpetual calendar way out weights that of a car.
Is there a huge amount of price inflation caused by marketing? Absolutely. But even a top tier Chinese replica of a Patek can cost a couple thousand dollars, while not being the same quality inside.
then the costs would be in the same ballpark as the actual watch.
The reason these watches can be used as a "super"-currency for the very rich is that it is impossible to duplicate (so to forge) easily.
PP is just one of those brands that gets away with being so expensive because it is so expensive. The point of owning a PP watch is to demonstrate to the world that you can own a PP watch.
No, a run of the mill mechanical Seiko (say a Seiko 5 or even a SARB) will not run as accurately as a modern Patek. That's silly. Patek have their own Seal of quality guaranteeing a certain range of drift per day and performs well beyond COSC requirements. The typical Seiko wouldn't come close unless you're starting to get into Grand Seiko territory or Spring Drive movements which is a different league.
Rolex vs PP on a typical 3 handed watch will have similar performance, with the Rolex probably fairing better due to the typical Rolex being designed (and QAed) for more extreme conditions. However, the most complicated Rolex is an annual calendar and this is where PP shine.
But still nowhere near the PP league, price-wise.
I think you're the one who is being untruthful by introducing qualifications like "run of the mill" which I did not.
> This probably betrays the fact that the audience here is not very knowledgeable about mechanical watches
There are two aspects to understanding mechanical watches: the mechanics and the culture. People who buy a PP want not just a functional, quality timepiece--they want exclusivity. PP is not just a watch company, it is a luxury brand. And luxury brands create exclusivity via high prices--much higher than is strictly justified by the costs of manufacturing.
All this is to say that if another company wanted to replicate a PP, they could do it for less than the retail price of a PP. But there would be no point, because no one would buy it. Because there is nothing cool or exclusive about owning a Chinese knock-off of a Patek Philippe, no matter how well it works.
It's often said among watch collectors that you start out wanting a Rolex because it's all you know of in haute horlogerie. Then you learn more and want nothing to do with the brand, and finally you settle in and appreciate it for the legitimate workmanship.
Kind of like how iPhone and blingy Apple Watch sales used to fund great work in Apple's professional line of laptops. (Low blow, I know, but I couldn't help it)
Today's mechanical watches are a celebration of that tradition. You have to have an appreciation for that as well as the historical significance in timekeeping as part of civilization's endeavors into transoceanic navigation, extreme mountaineering and ultimately into space as a prerequisite for truly appreciating mechanical watches.
The best manufactures today, like Rolex, uphold that tradition in their professional line. You can read about the history of the GMT, the Explorer and the Subminariner (in particular the Milsub) to get a glimpse of the historical significance.
In some way, a mechanical watch is a miniature museum and houses some very significant advancements. Modern watchmakers continue to push mechanical and material boundaries. This is to be appreciated if only as an art, even if outdated.
And due to the high beat movement, the second hand moves in a much smoother way than the jump seconds on quartz movements, which a lot of people prefers.
I started out just loving Rolex Bubblebacks--years ago. I loved all watches. I started learning about the repair of watches. It took me a awhile to accumulate the right tools, at the right price. In order to be be efficent, it did take me a few years, but it was a hobby for myself.
The love of mechanical watches will just come around for a lot of people. I haven't figured if it's because certain people like precisely engineered items, like Apple products, or it's kinda the only acceptable form of adornment for men in all cultures, or men are subconsciously aware they die earlier than females.(Yes--some women just love all aspects of horology, but in my experience, it a different passion than men. Plus--I can't sell women's high end watches. It's so difficult, I don't even buy them for resale anymore. It's changing a bit though, especially with the Fitbit, and even female Rolexes are not sitting on a website for years anymore.
That said, once you imerce yourself in watch repair, there's a moment where you look at an older Rolex movement, and a say a modified(usually just engine work on the movement) on a better ETA movement, and don't see why a Rolex costs so much more. Yes, their are differences quality differences, but not to the tune of thousand of dollars more. Basically, a Rolex, Patek, IWC, etc., were machined to be easily taken apart. A lot of thought was put into ease of repair. It's ironic you can't buy parts for said watches from the factory?
And here I go, that Rolex some of you are wearing on your wrist, when it goes out of warranty, you won't be able to have just anyone repair it. Rolex, the Swatch Group, along with most of the other watch brands will have you send your timepiece back to the factory when it needs a service, or repair. At factory prices. I refuse to spend $800 on a clean, and lube.
See, when you buy that $10,000 watch, even if you spent years learning how to repair, they won't sell you parts, or even offer service diagrams. It's like buying a car, and having to take it to the dealership fir repairs forever, and not being able to buy parts for it.
Seiko is one watch company that still sells parts to consumers.
O.k.--what's my point? Certain high end watch companies, appear to be guilty of The Sherman Anti-trust Act. Yes--the federal government looked into it, but figured it wasen't a top priority, and called it a rich man's problem.
To those interested, a grey market watch, like those at Costco, were bought overseas at overseas prices. Rolex warranty will not honor those watches if they stop, even if under warranty.).
I just read the post about GI's not being able to code. If you happen to like watches, there's a few watch repair schools left on the world. Rolex is sponsoring many of them. They need technicians at their factories. Many schools offer free tuition, but not boarding. It's not a bad deal.
And again--if you're about to spend thousands on a fine watch, call the watch company and ask about parts, and "just what will happen when it goes out of warranty, and needs a service?".
They're easy to take apart and put back together, and spare parts for the more common movements can be easily sourced.
Their range spans from cheap to models far beyond the price-range and complexity of the most well-known Swiss brand.
Also, as a brand, it's far more prestigious than is usually assumed (because they're mainly known for their high volume models), with everything produced in-house, from the oil, to the rubies, and the alligator leather straps.
They also have a long and impressive history, up to and including getting kicked out of European accuracy competitions because they made the rest look bad.
Your modest unassuming Seiko has a lot more to it than you probably suspected.
The lack of interest from my side is due to the inferiority of mechanical watches in accomplishing their main purpose: keeping time. I know my smartphone always has the right time, because it's internet-connected and uses NTP. For a mechanical watch, that trust just isn't there: either it has the right time, or it's run out of power.
Surely, I can appreciate the craftsmanship, but when it comes to knowing what time it is, this is not relevant for me at all. When I look at a clock, I really appreciate knowing that if it has run out of power it doesn't display the wrong time, as opposed to a mechanical watch.
My wife loves watches (for the design). I'd rather have a nice bike.
Of course that's probably not the case with you. It's likely you personally have deeper motivations than simply indicating status.
That's why it's called actor-observer bias https://en.wikipedia.org/wiki/Actor%E2%80%93observer_asymmet...
I'm not trying to corner you here, and I hope you see how these explanations of the situations are the same except in one case you're the actor, in the other you're the observer.
Unless it's dropped in the toilet, or runs out of battery, or the software gets compromised, or you simply lose it.
Reliability is it's own feature, a thing that often gets overlooked in software development.
Software is that which is disposable enough not to bother building hardware for.
another benefit is charging -- when I'm wearing a watch, I wind it instead of fidgeting, and I'm not stuck waiting at an outlet for my phone to charge.
That assumes that you want to encode the program as a single disc encoding the repeating cycle. But surely you could use a series of program discs to perform successive lookups and offsets and reduce it down to several more manageable discs? e.g. you have one disc that encodes the cycle of offsets of the spring equinox by year, then use that to offset the rotation of the wheel that encodes the lunar cycle...
(Note that perpetual calendars are relatively more simpler complications to design and make).
So it is possible, but hard to fit into a watchmaking piece!
I could be very wrong about this, but I suspect it might be possible to encode the data optically with much finer resolution and then contrive some kind of daylight driven optical -> mechanical transducer to extract it.
http://www.seikowatches.com/world/technology/spring_drive/
Even the most snardy of mechanical watch enthusiasts agree this is a very beautiful mechanism.
The date-of-easter complication consists of a notched program wheel - practically a look up table. Due to the limited LUT-size of 28 (1989-2017) this program wheel needs replacement.
https://www.hodinkee.com/articles/the-vacheron-constantin-re...
That will surely sate your lust for mechanical audacity.
- is 90% male, on average 34
- avg. income >250k
- has a master’s degree
Product placement might pay off a little :)[1] http://blogs.reuters.com/small-business/2013/01/10/on-time-q...
https://www.overstock.com/Sports-Toys/Wenger-Giant-85-tool-1...
I hope that's a true story, it's such a practical solution.
I especially love this sort of thing because there's not really a practical reason for this to exist. Its pure art. Technical art of amazing effort and skill. The best part is that people appreciate it and pay big money for it (lots of people). People pay for good art! That's all kinds of awesome.
It's one of those things I probably wouldn't want to use.
Like the 'else' clause of a for loop is useful sometimes, but when you use every single feature of a language it makes it harder for newcomers to read.
To multiply by m, use two gears with diameters in ratio m:1. To divide, switch the gears.
I wouldn't even know how to subtract a constant angular velocity. I don't think you need that, though; if you know at what speed all your gears will rotate, a constant addition/change can be replaced by a constant multiplication/division:
a+b = a * (a+b)/a output := K * (input0 + input1) / 2
Spur-gear differentials are suitable for watches.Funny story. I was making the "final" commit before shipping a desktop application, and I wanted to make an Easter egg. But what should it be? It should be Easter-related, I supposed. I made a pastel color theme for the main screen, that should appear only on Easter. This product is used in DoD, and I doubted that anyone would ever be using it on a Sunday.
The product had a design flaw, a kind of time bomb. I was a greenhorn working on it when it first shipped in 1994, and I thought nothing of the fact that its rate table was arranged horizontally, like so:
id 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
1 4.49 4.59 4.79 4.99 5.16 5.26 5.68 5.78 5.99 6.44
2 ... etc
Despite being a Navy budget forecaster by trade, the Captain who created the program lacked the hubris to worry about needing rates for the next millennium. This set of dates was hardcoded all over the the codebase. The Captain, a poor typist, kept resetting the bomb by adding more years.Fast forward to 2012. The product has been acquired, and I was brought in to port it for 64-bit machines. And the only task remaining—revision #1400—was to compute the date of Easter.
It took me about 2 minutes to conclude that this wasn't going to happen (although I didn't know it was that hard). So although it lacks the elegance that you'd like in your Easter egg, this one hardcodes the dates of Easter Sunday... through 2020. I mean, it's going to be on the web by then, right?
Yeah, it's still shipping.
https://github.com/pjungwir/remind-pascha
It lets you choose between 3 algorithms, one of which is Gauss's.
This stuff is hard to get right, even if you're a bishop with legions of scholars and theologians at your disposal.
And, just for grins, look up how the modern state of Israel decided when daylight saving time begins and ends up until 2012. (They rationalized it in 2012.)
http://www.atlasobscura.com/articles/catholics-built-secret-...
> Until 2005, the start and end of IDT each year was established in an ad hoc fashion as the result of haggling between political parties representing various sectors of Israeli society. Parties representing religious groups wanted the start delayed till after Passover and the end to precede Yom Kippur, the Day of Atonement, while the secular parties would argue for starting it earlier and ending it later.
Sounds like business as usual for a modern 2-party state. What was more interesting to me, as a programmer, was the next line:
> In the past, the unpredictability of IDT in Israel became frustrating enough that Microsoft Windows stopped trying to track changes and just made Israeli time be Greenwich Mean Time plus two hours (GMT+2) (and disabled the daylight saving option). This has led to various ad hoc solutions to the problem in Windows systems and other Microsoft software (e.g. Outlook calendar entries are often off by an hour when shared, due to the lack of IDT support). On November 17, 2009, Microsoft released an update that has daylight saving time enabled for Israel. However, the date for transition back to Standard Time is set as the Second Sunday of September, regardless of the Hebrew Calendar date.[4] Windows 7 does contain correct IDT times up to 2023, but not all software makes use of this extra information.
OK, I know that I'm supposed to just import my system date/time library for timekeeping functions. Because it's too complicated for mortals like me, while Microsoft, Apple, Google, and other major institutions can handle all the inanities.
But Microsoft gave up on this one? Ouch.
A good reference for anyone who has to write calendar related code is the book "Calendrical Calculations" by Dershowitz and Reingold [1].
[1] https://www.amazon.com/Calendrical-Calculations-Nachum-Dersh...
Presumably, a person that is interested in having their watch tell them what day Easter falls on would be a follower of and believer in Jesus. From what I know about Jesus, he probably wouldn't be impressed by somebody spending millions of dollars on this.
What watch would Jesus wear?
Or maybe I'm looking at it wrong. Maybe it's just a great piece of art in the form of a clock.
Patek does not make these pieces to make a profit, but to position themselves at the top of the pile when it comes to engineering as their customers want "the best", and are willing to pay a huge markup for it over "the next best".
It sounds crass to call such a beautiful thing "marketing", but it is - these show-off pieces are what sells the rest of the line (cheap at $20k starting price).
It makes me laugh it sounds so silly.
I want to buy that Apple computer?
Do you own an Apple computer?
No.
Sorry I can only sell you an Apple product if you already own one.
While Patek is probably among the worst offenders in that regard, a very reasonable consideration is that the stratospherically high-end watches are supply-constrained (partly due to there being so few people in the world capable of making them–I'm not taking about your $5K Rolex or even your $25K Patek, but the most complicated and finely-finished ones that can take a watchmaker months to years to produce just one example), and it's reasonable to sell them to known individuals who aren't just buying to immediately flip them at auction.
It also makes sense to reward those most loyal to the brand rather than allow something to be bought by the nouveau riche who will quickly move on to the next flavor of the month. That's how you alienate lifelong customers.
Or so I've been told, anyway. For all I know it's an urban legend.
A Casio F91-W. Durable, water resistant, stopwatch, alarm, calendar, timer ++. Cost: $6.68. Best selling watch on Amazon.
https://www.amazon.com/Casio-F91W-1-Classic-Resin-Digital/dp...
[1] The Jesus number is a dimensionless number in fluid mechanics; it is the inverse of the more commonly used Eötvös number, see https://en.wikipedia.org/wiki/Eötvös_number
http://www.biblestudytools.com/mark/passage/?q=mark+1:9-11
...and...
https://www.google.com/search?q=jesus+helping+peter&tbm=isch...
...so maybe just water / splash resistance, and not a dive watch / water proof.
https://en.wikipedia.org/wiki/Casio_F-91W#Claimed_use_in_ter...
Appropriate, I think, for someone killed by an empire on fabricated claims of leading an insurrection.
addendum: Rolex sells around 1 million watches per year (they don't release numbers). Maybe 100-200,000 are Submariner diver watches which are, of course, water resistant and have a one-way bezel designed to track how much time until you need to surface. Most of those will not used by professional or even amateur divers. Most will never see a drop of water.
I'm trying to decide between a Junghans Max Bill and a Nomos Orion right now. I like the Max Bill because it's quartz, but it has a date window which I don't want. The Orion has no date window, but it's mechanical.
My current watch is a Seiko 5 and it's both mechanical and has a date window. I'm tired of always needing to set it.
Quartz: https://www.amazon.com/MVMT-Watches-Silver-Black-Leather/dp/...
I want quartz accuracy and durability (mechanical watches aren't very accurate, they are relatively fragile, and require periodic maintenance). I don't want a date complication because they are often ugly and unless it's a perpetual calendar, needs to be reset occasionally.
[1] https://en.wikipedia.org/wiki/Patriarch_Kirill_of_Moscow#The...
Such approaches are of course not only modern, but it's good to recognize the other facets through which Christian believers have viewed Christ, such as the idea of "Christ as King" or "Christ as Warrior." The long history of, say, the Vatican's art and riches need not be snarkily dismissed as mere hypocrisy but also another dimension through which people saw their connection with and reverence for the divine.
Of particular interest to this article is the idea of "God as mathematician" or "God as watchmaker," which was something held by intellectuals around the time of Newton. The focus on craftsmanship in a timekeeper has a certain applicability.
"While he was in Bethany, reclining at the table in the home of Simon the Leper, a woman came with an alabaster jar of very expensive perfume, made of pure nard. She broke the jar and poured the perfume on his head. Some of those present were saying indignantly to one another, “Why this waste of perfume? It could have been sold for more than a year’s wages and the money given to the poor.” And they rebuked her harshly. “Leave her alone,” said Jesus. “Why are you bothering her? She has done a beautiful thing to me. The poor you will always have with you, and you can help them any time you want. But you will not always have me. She did what she could. She poured perfume on my body beforehand to prepare for my burial. Truly I tell you, wherever the gospel is preached throughout the world, what she has done will also be told, in memory of her.”"
https://en.wikipedia.org/wiki/Anointing_of_Jesus
...And we're now talking about Jesus on site where he is not normally discussed. As a method of spreading the gospel, you could certainly think of less effective methods.
If it's code, it's an engineering flaw, but if it's mechanical, it's a marvel.
Of course it's difficult to maintain, that's why it's considered "an engineering flaw" like you said.
Consider this - you can write code in any manner you want, starting anywhere you want. You can build it from the inside out, or top-down, or bottom-up. You can make it monolithic, or modularize it. You can do all of these things at once, if you want!
There was a commercial more than a few years back that illustrated something about "how clients want things done" vs "how things are done" - I think it was for insurance, IIRC. Basically, they showed a "modern construction of a pyramid" in some "city". It was a complicated construct; but apparently the client wanted it constructed from the top down! So there was this huge gantry crane like system, hanging the apex of the pyramid, and other stuff going on with workers and machines gradually building downward to the base...
You can't do this physically, of course (though I am aware of people who try to get engineers to do this - it's actually a common thing in custom home building for a client to change their mind in the middle of a project and want a window or door moved a few feet over - and trying to get them to understand what that would change in the already-in-place infrastructure of wiring, plumbing, etc - not to mention demolition, re-engineering, permits, inspections, etc - but some clients have enough money and clout and hubris to insist on it).
But you can do this with software. When it's done in the middle of a project (because of design changes, or to fix issues), we call it refactoring. It is this malleability of software that makes it easier to work with to express complicated constructs; there isn't any comparison to physical mechanical systems.
Such systems, as exemplified by horological mechanisms, require careful planning of where parts are put for their relative functions, and in relationship to the rest of the device, and how those parts are put together, what order, layers, etc. Not to mention the various calculations and allowances needed for tolerances, forces, friction, lubrication, as well as simply the fasteners and framework holding the whole thing together!
We haven't even considered taking into account external forces, and how they relate to the accuracy and/or longevity of the system. All of these things, and many more, apply to all mechanical systems, and require careful planning and execution. Fortunately (especially for many of these complex timepieces of today, as I am led to believe by the reading of a few of these kinds of articles), master watchmakers like these have at their disposal modern CAD/CAM systems to aid them in planning and designing these complex works of art, as well as to guide them in assembly of them. Even with such help, though, I imagine that the process is still a very consuming and maddening one (this is evidenced by the fact of how long it takes for these craftspeople to build only a few of these timepieces). Now imagine having to do this without such help! Not as complex (but still pretty insane given the time period) timepieces (and other mechanical clockwork devices and automata) were planned, design, calculated, drawn, and constructed by hand in the past, long before computers were available - some of which contained thousands of carefully crafted and assembled parts; many of these devices still exist and operate today.
Interestingly - very little of our software that we construct today is likely to still be operating 100 or more years from now (though there are a few examples that are working their way to that point)...
I don't own such a watch but I do admire them.
A second hand, the date, the day of the week, etc... all complications. I'm not saying some don't go overboard for the sake of going overboard, but complications are just features.
Difficult calculation? Pre-compute it!
Yes, a Patek Phillippe is a thing of physical beauty. However, for functionality like this software wins the day.
"[...] the whole structure of astronomical mechanical complications – whether in the Strasbourg cathedral clock, or in watches like Caliber 89 – is a manifestation of a world view."
The idea of a "clockwork universe" is a mechanistic, modern, Enlightenment-era idea. Astronomical clocks predate that worldview by quite some time.
The idea of Celestial Spheres alone dates from greek antiquity.
If you changed you sentence to "but until Leibniz" I'd be more willing to by it. Even though it's the same time.
Edit: it's back up
Given that the watch knows all these parameters (i.e. day of the week, moon phase and date (Mar 21 = Spring equinox), would it be possible to construct a mechanical complication that calculates the Easter date?
Hard to see why this is considered a difficult problem at this point, 2000+ years after the Antikythera Mechanism.
>The date of Easter encodes a strange kind of orderly disorder, and yet, even that is an expression of an abstraction that only approximates reality. Over a period of 5,700,000 years, as Bryan Hayes points out in his 1999 article on Y2k compliance and the Strasbourg clock, things like tidal drift will cause enough variation in the orbital and rotational periods of the Earth that any algorithm will require ad hoc correction anyway
A mechanism that only works for 28 years shouldn't have been contemplated by a company that literally advertises their products as heirlooms.