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Two Snowflakes May Be Alike After All

An anonymous reader writes "LiveScience is reporting that it may be possible for two snowflakes to be alike after all. For anyone who studies probability, this seems reasonable, given that the article mentions that 10^24 snowflakes fall in any given year. The article contains links to fascinating snowflake pictures. From the article: 'A typical snow crystal weighs roughly one millionth of a gram. This means a cubic foot of snow can contain roughly one billion crystals ... "It is probably safe to say that the possible number of snow crystal shapes exceeds the estimated number of atoms in the known universe," Nelson said. Still, while "no two snowflakes are alike" might hold true for larger snowflakes, Nelson figures it might ring false for smaller crystals that sometimes fall before they have a chance to fully develop. "How likely is it that two snowflakes are alike? Very likely if we define alike to mean that we would have trouble distinguishing them under a microscope and if we include the crystals that hardly develop beyond the prism stage--that is, the smallest snow crystals," Nelson said.'"

46 of 180 comments (clear)

  1. Birthday attack by setagllib · · Score: 2, Funny

    So now we have a way to link snowflakes and cryptography.

    --
    Sam ty sig.
    1. Re:Birthday attack by x_MeRLiN_x · · Score: 4, Insightful

      Am I the only person to think this guy has too much time on his hands?

    2. Re:Birthday attack by Anonymous Coward · · Score: 3, Funny

      This isn't news. No truism is 100% true.

    3. Re:Birthday attack by no+reason+to+be+here · · Score: 5, Insightful

      This isn't news. No truism is 100% true.

      including that one?

    4. Re:Birthday attack by PieSquared · · Score: 2, Insightful

      Nuke 'em from orbit. Then you (a population living off the earth) win.

      --
      Does a line appended to your comment give your post meaning in and of itself, or only in relation to those without?
    5. Re:Birthday attack by teknomage1 · · Score: 4, Funny

      So collisions in snowflake based hashing algorithms would be instances of a SnowCrash?

      --
      Stop intellectual property from infringing on me
    6. Re:Birthday attack by KUHurdler · · Score: 3, Funny

      I'm afraid I'm going to have to ask to see these two snowflakes.

      --
      Fix Your Own TV - RiddledTV.com Avoid the Landfill
    7. Re:Birthday attack by Cimon+Avaro · · Score: 3, Interesting

      As stupid as it sounds, original submission is entirely redundant, as one scientist already found matching snowflakes. And the scientist wasn't even a guy but a woman scientist. Yes, Virginia, there really is serious study on the shapes of snowflakes.

    8. Re:Birthday attack by pluther · · Score: 2, Funny

      Plus, it's the only way to make sure.

      --
      If the masses can keep you down, you're not the Ubermensch.
  2. Number of atoms in the universe by antic · · Score: 3, Interesting

    "It is probably safe to say that the possible number of snow crystal shapes exceeds the estimated number of atoms in the known universe..."

    This sort of thing does my head in. Anyone else trying to keep up?

    --
    'Thats they exact same thing a banana wrench monkey.'
    1. Re:Number of atoms in the universe by FallLine · · Score: 4, Informative
      "It is probably safe to say that the possible number of snow crystal shapes exceeds the estimated number of atoms in the known universe..."

      This sort of thing does my head in. Anyone else trying to keep up?
      Makes sense to me. The operating word is possible, as in the number of possible arrangements of unique snow crystal shapes likely exceeds the estimated number of actual atoms in the universe that we know of. This isn't terribly different than saying that number of possible lego combinations exceeds the number of legos in the world (well, I don't really know how many lego combinations are possible.... but you get my point). Though IANAA & IANAM :-)
    2. Re:Number of atoms in the universe by C_L_Lk · · Score: 4, Funny

      So how does the number of possible snowflake configurations compare with the number of possible IPV6 addresses? Can we assign a unique address to every snowflake and then just see if we get an address conflict somewhere?

    3. Re:Number of atoms in the universe by jd · · Score: 4, Informative
      It's to do with exponentials. Let's say that a particular snow crystal can form in one of fifteen ways. ((That's all the possibilities depicted on this chart). Then, two such crystals covers 225 possibilities (minus those that simply can't be joined for whatever reason). A snowflake with a hundred crystals would have fifteen to the hundred (ie: one googol) possible permutations.

      However, is our starting number of 15 reasonable? The standard snowflake crystals are all formed at temperatures just below freezing under fairly normal conditions. The rate at which the water cools will have a major impact, as will any airborne particles around which the snow crystals can condense. (Particles may cause a break in the symmetry or may force the ice to contain patterns that simply aren't possible when only hexagonal ice crystals are present.) There again, anything dissolved in the water will change the chemistry as well. As not everything freezes at the same temperature, it is entirely possible for snowflakes to acquire bubbles and other oddities where something has remained liquid even as the water froze.

      Then, there are the exotic states of frozen H2O which are not considered "ice", per se. Water that has frozen under really strange pressures or at extreme rates will not form regular ice crystals, but form other solid states instead. Slashdot has covered a few of these in the past. Is it possible to have a snowflake form from such states? Maybe. Then you add a whole new set of possibilities to the mix, although it would be unlikely that you could get a mixture of regular ice and these exotic states. (Not impossible, though. If the higher-level clouds chucked down snow in the exotic states, which then got added to by regular snowflake crystals, then you could indeed have a mixture. Not sure this could happen on Earth, but there may be planets where this is common.)

      --
      It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    4. Re:Number of atoms in the universe by melikamp · · Score: 4, Interesting

      how many lego combinations are possible

      To simplify the question, we could consider just these classic bricks. By different combinations we'll understand fully connected arrangements, with no regard to combinations of colour, rotations, or symmetries. I suppose that Legos can connect with a single corner, correct me if I am wrong.

      Le(1) = 1

      Le(2) = 17

      Then, for one of the combinations in Le(2), there are 18 ways to add the third piece. The problem seems to be barely tractable now without the aid of at least lego pieces and a piece of paper, but I'll make bold assumptions. If Le(n) grows at least as fast as 10^n (and my gut tells me that it grows much faster), then measly 100 pieces will give you a quantity that dwarfs the number of particles in the known universe.

    5. Re:Number of atoms in the universe by MrNemesis · · Score: 4, Funny

      The problem is that once you've done a ping sweep of the IPv6 network, the first lot of snowflakes have melted (along with the DHCP server).

      --
      Moderation Total: -1 Troll, +3 Goat
    6. Re:Number of atoms in the universe by muridae · · Score: 2, Informative
      At least as fast as 10^n, in fact, a lot faster.

      (37065N-89115)(46^(N-4))+(2N-1)(2(^N-1)) in fact, and that is just for N number of bricks in a tower N-1 bricks tall. I think they predict the final value to be around 100^n

      Check the math here if you want.

  3. My mom said you were wrong. by Anonymous Coward · · Score: 5, Funny

    I am special. And I'm going to be famous.

    1. Re:My mom said you were wrong. by Alwin+Henseler · · Score: 3, Insightful

      You must be a new snowflake here.

  4. Years ago... by dpbsmith · · Score: 4, Interesting

    ...and of course, I can't find it... a scientist published a picture of two identical snowflakes in, I'm almost sure, Science or Nature. And, no, I'm not talking about Snowflake Bentley. It was a byproduct of some kind of meteorological research, they were flying a plane through clouds where snow was being formed, and, as you'd expect, if two flakes of snow form under virtually identical conditions you end up with two virtually identical flakes.

    I think this was in the 1990s.

    It made the mainstream news at the time.

    1. Re:Years ago... by Whiney+Mac+Fanboy · · Score: 5, Informative
      as you'd expect, if two flakes of snow form under virtually identical conditions you end up with two virtually identical flakes.

      From snowflake chemistry

      Is it true that no two snowflakes are identical?

      Yes and no. No two snowflakes are exactly identical, down to the precise number of water molecules, spin of electrons, isotope abundance of hydrogen and oxygen, etc. On the other hand, it is possible for two snowflakes to look exactly alike and any given snowflake probably has had a good match at some point in history. Since so many factors affect the structure of a snowflake and since a snowflake's structure is constantly changing in response to environmental conditions, it is improbable that anyone would see two identical snowflakes.
      --
      There are shills on slashdot. Apparently, I'm one of them.
  5. Not quite impossible by Mrs.+Grundy · · Score: 4, Insightful

    I've always wondered what physicists were doing when they were busy not discovering cold fusion. Seriously though, what I got from this was that while still incredibly unlikely it is possible for two snowflakes to be the same. Just like everything else that is extremely unlikely but not quite impossible.

  6. Any other handy aphorisms we'd like to test out? by haakondahl · · Score: 5, Interesting

    What goes up must come down. (suspected true)

    Lightning doesn't strike the same spot twice. (obviously false (ouch!))

    A watched pot never boils. etc...

    This is like numerology. You take a bunch of squishy data (aphorisms) and attempt to rigorously evaluate them.

    I am reminded of Charlie Brown's answer to the question "How many angels can dance on the head of a pin?" His answer: Eight if they're skinny, four if they're fat.

    --
    Don't trust anyone under thirty.
  7. So? by camperdave · · Score: 4, Funny

    Myth Busted?

    A typical snow crystal weighs roughly one millionth of a grama cubic foot of snow can contain roughly one billion crystals...
    Most snowflakes are less than one-half inch across. The smallest may be only about one-tenth of a millimeter across...

    I think, if you're talking about the myth that Americans do science in metric, then yes: Myth Busted.

    --
    When our name is on the back of your car, we're behind you all the way!
  8. Re:okay, smarty-pants... by NiteShaed · · Score: 4, Funny
    Now how many angels can dance on the head of a pin?
    ...you might just as well ask how many demons can dance on the head of a pin. They're of the same original stock, after all. And at least they dance. [Footnote: Although it's not what you and I would call dancing. Not good dancing anyway. A demon moves like a white band on "Soul Train."]

    -- Neil Gaiman and Terry Pratchett, Good Omens
    --
    Some bring out the best in others, some the worst. Some bring out far more.
  9. identical fingerprints too! by bodrell · · Score: 4, Insightful
    "How likely is it that two snowflakes are alike? Very likely if we define alike to mean that we would have trouble distinguishing them under a microscope and if we include the crystals that hardly develop beyond the prism stage--that is, the smallest snow crystals,"

    In other news--it is very likely that two people will have identical fingerprints. If by fingerprints we mean the part of the fingerprint that cannot even be distinguished as a whorl. That is, a couple of cells constituting a tiny fold of skin.

    --
    Si la vida me da palo, yo la voy a soportar Si la vida me da palo, yo la voy a espabilar
  10. In other news... by yali · · Score: 5, Funny

    If someone tells you "You're one in a million," there are 6,571 people exactly like you.

  11. Interesting science... by MavEtJu · · Score: 3, Funny

    A typical snow crystal weighs roughly one millionth of a gram. This means a cubic foot of snow can contain roughly one billion crystals ...

    Who made one cubic foot equal to 1000 grams? I'll smash him with one cubic foot of lead!

    (ps for the metric vs imperial system: one cubic decimeter of water is one liter, and one liter of water weights one kilogram, so one cubic decimeter of water weights one kilogram :-)

    --
    bash$ :(){ :|:&};:
    1. Re:Interesting science... by ThePopeLayton · · Score: 2, Funny
      Who made one cubic foot equal to 1000 grams? I'll smash him with one cubic foot of lead!
      Well if you take the weight of one snowflake and divide it by the volume of one snowflake you get the density of a snow flake. If you then multiply 1 cubic foot by the density of a snow flake you get the weight of a "cubic foot of snow flakes".
        If you are looking for someone to blame that one cubic foot of snow flakes weights 1000 grams, i guess you could blame science or god, its really your choice.
    2. Re:Interesting science... by Deadstick · · Score: 3, Informative
      Oohhh-kay...one cubic decimeter is about 0.016 cubic feet, so one cubic foot of snow weighs about 1000/0.016 = 62500 grams.

      Freshly-fallen snow is roughly 1/10 to 1/5 as dense as liquid water, so one cubic foot of snow weighs about 6250 to 12500 grams. At one million crystals per gram, that's -- guess what -- about 0.625 to 1.25 billion crystals per cubic foot.

      Who made one cubic foot equal to 1000 grams?

      Mother nature. Air is part of her recipe for snow.

      rj

  12. Nancy Knight, 1988 by Anonymous Coward · · Score: 5, Informative

    Nancy Knight, 1988

    "The old saw that no two snow crystals are identical was disproved in 1988, when National Center for Atmospheric Research scientist Nancy Knight found two that apparently were. The twin crystals were found by accident when Knight was examining samples collected at 6 kilometers (20,000 feet) over Wisconsin for a cloud-climatology study. Thick, hollow, and columnar, the crystals seem to have been Siamese twins that grew attached to each other. No satisfying explanation has yet been found." -

    http://www.proquestk12.com/curr/snow/snow395/snow3 95.htm

  13. next up... by 10100111001 · · Score: 4, Funny

    proving that a watched pot does indeed boil

    Hoorah for science!

  14. Picture of Identical Snowflakes by Whiney+Mac+Fanboy · · Score: 2, Informative

    The National Centre for Atmospheric Research (NCAR) has a pic of the identical (attached) snowflakes on their kid's page.

    They look more like nanopumps than snowflakes to me!

    --
    There are shills on slashdot. Apparently, I'm one of them.
  15. Yup, it's true by muffel · · Score: 3, Funny

    Check out the flake in pic #8.
    Last winter, I saw one just like that. I swear!

    --

    bla
  16. By what argument could they NEVER be the same? by vistic · · Score: 3, Insightful

    I don't see why this is a surprise. Snowflake formations are realistically independent of each other, so if it's possible for one it should be possible for any other. The odds of randomly selecting two that are exactly the same may be very small, but...

    What possible argument could even exist as to how no two could EVER be the same, ever?

    Magical snowflake factory in heaven that molds each flake, and after each flake they break the mold, never to use it again? Or what?

  17. Re:What the **** is wrong with Slashdot moderators by apharmdq · · Score: 3, Insightful

    Since threads are moderated by many people, it's likely that some threads will be moderated as "Trolls" or in a negative fashion early on, by moderators who do indeed consider it to be a Troll thread. However, as time goes on, more moderators will pass by and in the end the person will receive the rating/label that they deserve.

    Also note that while there may be moderators that go out and toss around negative mods freely, their decisions get moderated through meta-moderation. In other words, meta-moderators go through their mods and decide whether they made a fair decision or not. This will result in more fair moderators and less negative moderators.

    On a final note, there are many moderators that look at spelling and grammar with a critical eye, and while your sister may have made a good point, her writing may have swayed the moderator to a negative decision. Overall, spelling and grammar shouldn't count towards moderation points (as much as it grieves some), since not everyone is as deliberate when they type.

  18. Moo by Chacham · · Score: 2, Funny

    Two snowflakes alike? Bah!

    For those who don't know, this possibility was discussed in France two centuries ago, where this and many other troubling discoveries were dealt with.

    The plan put in place was considered absurd, but doable. To somehow or another change the very climate of the world, to make it use the flakespace at a slower pace until a new dimension could be discovered.

    So, along with European clocks moving a head a second every few years, there world temperature too was set to become warmer. The phenomina today which we call "Global Warming" is actually there to save us from the disasturous effects of two similar snowflakes.

    The official Snowflake Registry in Paris has concluded, after a full investigation of the matter, that no two snowflakes have ever been alike, and each flake fallen is actually recorded with an id. Should you happen to generate a snowflake on your own, please register it, and do the world a favor.

  19. My definition of "alike"... by catbutt · · Score: 2, Insightful

    ...would be more along the lines of "as alike as any two arms of a typical snowflake are"

    Since we generally assume snowflakes to be radially symettrical, that implies a degree of "alikeness" within the snowflake. Intuitively, that is what would make two snowflakes alike (to me)....if you could look at their individual arms (i.e. 1/6th of the snowflake) and not be able to match them up to the correct snowflake.

    If you were just talking about atom-to-atom alikeness, given that snowflakes are far from perfect in their symettry, well that is just dumb.

    Obviously, lots of snowflakes would be alike by my definition.

  20. Re:Any other handy aphorisms we'd like to test out by Headcase88 · · Score: 2, Funny

    Once I didn't apply a stitch in time, and was shocked that I only had to make five stitches to fix it back up, instead of the expected nine.

    --
    "When the atomic bomb goes off there's devastation...but when the atomic bong goes off there's celebraaaaation!"
  21. So... by Kohath · · Score: 3, Funny

    So you're saying all snowflakes are exactly the same?

    They don't taste the same.

    1. Re:So... by Mozk · · Score: 2, Interesting

      Typically I eat snow by sticking my tongue out, not by eating what's on the ground, so I'd be a little surprised (and worried) to find a yellow snowflake flying through the air. I try not to stand under animals pissing from trees when I eat my snowflakes.

      --
      No existe.
  22. It ain't necessarily so ...bro by dns_server · · Score: 2, Informative

    According to a book that i'm reading "It ain't necessarily so ...bro" by Dr Karl Kruszelnicki (Ignoble award winner, Radio host on Triple J (Australia)). "In 1988 the scientist Nancy Knight (at the National Center for Atmospheric research in Boulder, Colorado) was studying cirrus clouds. During a snow storm in Wisconsin her research plane collected snowflakes on a chilled glass slide coated with sticky oil. Two of the snowflakes where identical (atleast under a microscope, atleast)." page 148

  23. Re:Any other handy aphorisms we'd like to test out by darkonc · · Score: 2, Interesting

    What goes up must come down. (suspected true)

    Oh yeah... tell that to Voyager.

    Lightning doesn't strike the same spot twice. (obviously false (ouch!)) Well after lightning strikes the first time, that place (ouch) is never going to be the same again.

    A watched pot never boils. etc...

    There's actually some truth to that... If you take the lid of a pot that you're trying to boil, the escaping steam carries away heat and helps to cool the pot -- It also lowers the vapour pressure of the steam, which allows more steam to be generated (allowing the water in the pot to cool faster).
    That way, a watched pot boils a lot slower than an unwatched pot -- and if the heat is low enough, then removing the lid actually will make the differnce between boiling, and just evaporating at a high temperature.

    This message brought to you by the society for the anal retentive (I had to say that, or they'd browbeat me to death).

    --
    Sometimes boldness is in fashion. Sometimes only the brave will be bold.
  24. Dupe! by i_like_ducks · · Score: 2, Funny

    Mod dupe snowflake -1 redundant

  25. Depends on what you call "alike" by Moraelin · · Score: 2, Insightful

    If the only thing that makes two things different is that one contains an extra H2O2 molecule instead of a H2O, then that's already breaking even the original metaphor. You can find bigger differences than that in machine-stamped assembly-line-produced pieces, hence the concept of "tolerance" or the six sigma hype. Yet noone would consider them unique. I've yet to hear anyone say "I'm unique like a standardized run-of-the-mill 5mm radius, 31 teeth, brass cog." And if you heard someone saying that, you'd think of it as sarcasm at best.

    --
    A polar bear is a cartesian bear after a coordinate transform.
  26. Uhhhh, ... no by Gription · · Score: 5, Insightful

    [sarcasm]
    . . .
    [/sarcasm]
    Leave the snowflakes alone, try to research if we can get something to fuel our cars after a decade or two or try to find the cure for utter stupidity. Hearing something useful coming out from science is rather rare these days, probably because really interesting stuff is not published or wouldn't interest the business giants like oil producers.
    . . . This is the same attitude that generates the idea that the manned space program of the 60s was a waste of money.

    Believe it or not the largest payout from research is generally not directly the target of the research. We call this serendipity .

    Off the top of my head the study of this subject would require the researcher to apply his efforts (described here as apparently useless) on the details of crystal formation, manipulating factors of said formation, crystalline structure, and the statistical analysis of crystal formation, besides who knows how many other details that we will never know because we weren't involved.

    Let me see if I can come up with some "useless" applications for knowledge in this research track. How about crystalline formation in metals? I bet the aerospace industry has no need for this type of knowledge as they try to come up with ways to grow single crystal blocks of titanium to form turbine blades or anything else that requires insanely high strength. As an example (from memory): the tensile strength of cast iron is a little more then 10,000 psi. The tensile strength of iron formed as a single crystal is somewhere around 100,000 psi! If I remember correctly, the single crystal tensile strength of carbon is 500,000 psi. The reason for these amazing numbers is that the primary weakness is always the crystalline boundaries. (reference: http://en.wikipedia.org/wiki/Single_crystal )

    Another "useless" application of this type of research is crystalline formation as it relates to pharmaceutical research. Did you know that the (apparently unimportant and profitless) pharmaceutical companies actually sent an experiment up into orbit just so they could see how crystals grow in zero G? That sounds like it must be an incredibly lavish waste of their shareholder's money (by one of the greediest industries in the world (personal opinion)).

    Fun facts:
    - When you analyze a crystal you can tell the strength of the gravity field it was formed under.
    - Crystalline formation is a state change and controlling this can allow you to do all sorts of interesting things from scalding the hell out of yourself heating water in a microwave, to creating so called meta materials.(reference: http://en.wikipedia.org/wiki/Meta_materials )
    - And finally: Utter stupidity is often caused by not looking any deeper then the surface of a subject. (reference: http://www.suck.com/daily/97/11/12/1.html )
  27. Re:Any other handy aphorisms we'd like to test out by DrVomact · · Score: 2, Interesting
    How about "no two fingerprints are alike". I've always wondered about that one. How do you prove or disprove it? Does it mean no two fingerprints can be alike, or that it's extremely unlikely? How unlikely? What are the criteria for "alike"? How do we eliminate artifacts of the fingerprinting process? What about the normal wear and tear that abrades the skin, and changes everyone's fingerprints slightly over time?

    Another one is the belief that the rifling pattern engraved on a fired bullet can be used to positively identify the gun from which it was fired. This assumption rests in turn on the assumption that no two gun barrels are exactly alike. How do we know?

    These two examples are a bit more serious than the case of snowflakes, because they're used as evidence in criminal trials. I suppose there must be scientific, peer-reviewed studies out there somewhere about the uniqueness of fingerprints and rifle barrels. But I don't see how they could do any more than establish the probabilities of any two of these objects being sufficiently alike as to be practically indistinguishable. I'd sure like to know what these probabilities are...they're certainly never mentioned in a courtroom.

    DNA matching is probably on firmer ground, right?

    --
    Great men are almost always bad men--Lord Acton's Corollary