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Science

Ants That Can Count 162

thisIsOdd writes "NPR had a recent report about scientists at the University of Ulm who suggest that ants in desert environments count to help them get to and from their homes. Because the desert's windiness and sandiness is not conducive the 'smell-trail' method, where ants squeeze certain glands that leave a chemical trail, scientists were puzzled by the fact that these desert ants were able to leave and successfully return to their nest. The theory is called the 'pedometer theory,' and the experiment used to test it involves manipulating the leg length of some of these ants. Ants with longer legs would pass the nest on the way home, and ones with shorter legs came up... well... short."
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Ants That Can Count

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  • by ls671 ( 1122017 ) * on Thursday November 26, 2009 @01:52AM (#30234410) Homepage

    If the experience results are valid, there is still a difference between counting and remembering and reproducing a sequence of movements.

    Ants might remember that they have to do "step step step step step step step step" to get back to their nest without actually counting. This would seem much more natural to me.

    Here is an example applicable to humans: As a drummer, I can create and reproduce the same roll on the fly. But if you asked me how many times I hit the drum pad, only then I would have to count. I did not need to count in order to reproduce the roll nor did I know how many times I actually hit the drum pads.

    This leads me to believe ants cannot count, why would they need to. Counting is good for humans in order to trade, so they have developed that capability. Same goes for female animals that could notice one of their puppy is missing. They don't have to "count" them, they only have to remember a picture of all the puppies and notice the picture they now see is different from the normal picture. There is many more examples you can think off where one can appear to count without actually doing so.

    • by tonycheese ( 921278 ) on Thursday November 26, 2009 @02:16AM (#30234516)
      While you may be right, the examples you gave don't necessarily extend well to the ants. An animal looking for its babies would see less than 10 or 20 and reproducing a roll on your drum would involve varied rhythms or beats or whatever, or probably less than 50 hits if you were to reproduce it after hearing it once. The ants, however, are probably taking hundreds or thousands of steps and remembering the exact distance in one go. I cannot imagine a person hearing a roll go for 750 hits and then reproduce it in the same ballpark without counting time or hits (but I'm no drummer). The article described it as a "pedometer" and I think describing it as counting is perfectly valid - being able to distinguish between 1200 and 1300 steps would involve some form of "counting" in my mind, whether in the brain or by some physical mechanism.
      • Re: (Score:2, Insightful)

        by Psaakyrn ( 838406 )
        It still works. Drummers don't just drum for a single lyric, they drum for the whole song. The ants are just playing an orchestra of beats.
        • by mdwh2 ( 535323 ) on Thursday November 26, 2009 @09:46AM (#30236886) Journal

          I admit I'm not a drummer, but I have played other instruments - surely if we're talking about an entire song rather than one bar, the person still has to count lines/bars (e.g., this bit happens 4 times, before going onto the next bit, and these two sections alternate two times)? This would be especially true if the drummer was playing on their own, without being able to rely on listening to the music.

          Ants can count. The reason it sounds uncomfortable is because it might imply a comparison to how humans count - we do it using our sentient mind. I doubt that this is the case for ants. But even if it's done by some automatic mechanism, I don't think "counting" is unreasonable (I mean, we say that computers can count, even if it's just following an automatic process that a human set up).

      • Re: (Score:3, Insightful)

        by ls671 ( 1122017 ) *

        What I was trying to say is that counting usually involves numbers. You could build a car engine (or do almost anything) without using numbers. Instead of knowing the clearance for a given part is say 11mm, you could just use a mark on blank ruler or other tool the find out the right clearance. I suspect something similar is going on with the ants.

        Also, I am glad you specified that you were no drummer. Drummers can reproduce songs with thousands of hits on the drum pads over and over again without counting.

        • by Anonymous Coward on Thursday November 26, 2009 @03:53AM (#30234896)

          > He could as well go "Pom, pom, pom"

          Everyone who saw "P o r n, P o r n, P o r n", please raise your hands?.... Thought so!

        • Drummers can reproduce songs with thousands of hits on the drum pads over and over again without counting.

          Only because they are guided by the music perhaps, but you gave me an interesting idea. Imagine the music as a metaphor for the scenery passing by as you journey from point A to point B. In fact, imagine you are a little ant listening to the beat of your six little feet as the landscape rolls by... Passing through this little valley took so long, climbing up that hill the rhythm changed, and running dow

          • Counting or timing? (Score:3, Interesting)

            by TheLink ( 130905 )
            > Passing through this little valley took so long, climbing up that hill the rhythm changed

            Which brings us to the question: Are the ants really counting steps or is it based on timing?

            Because you could get a similar result if it's based on timing. For example the ant walks to point X and it takes 60 seconds, so on the return journey, somewhere in the ants brain there's a countdown from 60 seconds (or more likely a increase/decrease in "potential"). With longer, but not much heavier legs the ant could sti
            • "Wolf and Whittlinger trained a bunch of ants to walk across a patch of desert to some food. When the ants began eating, the scientists trapped them and divided them into three groups. They left the first group alone. With the second group, they used superglue to attach pre-cut pig bristles to each of their six legs, essentially putting them on stilts. The third group had their legs cut off just below the "knees," making each of their six legs shorter.

              After the meal and the makeover, the ants were released

              • A timing mechanism would not exhibit this property.

                I beg to differ. If they find their way home by walking for a fixed length of time, the experiment would have come out exactly the same. That's because ants take a fixed number of steps per minute, whether their legs have been lengthened, shortened or left alone. Thus, there's no way that you can tell (from the experiment as described) if the ants are counting their steps (as the researchers claim) or walking for a fixed length of time.

        • > What I was trying to say is that counting usually involves numbers.

          i would take a broad view of the word "counting" and define it as something like "the ability to remember and compare quantities", regardless of the presence or not of a theory of numbers.

          with this view, the ants, the drummers, and the mamas w/ the puppies are all counting.

    • by njen ( 859685 )
      But if the number of hits in a roll was dependent on you finding your home safely, then I am pretty sure you would be counting it. The ants are not relying on a random number of steps to find their way home, like in your drum analogy. Plus you can't be certain without counting that if asked to reproduce a roll of the same number of hits that it would be the same number of hits. It seems these ants do rely on walking the exact same number of steps each time.
      This would denote that the ants have memorised a
      • by ls671 ( 1122017 ) *

        > "It seems these ants do rely on walking the exact same number of steps each time. "

        I don't think so, I figure the ants are smart enough to find the nest when they are only a few steps away from it. Also, see my above example on drummers playing whole songs without counting. Counting is typically human and gets in a way when you play music, you only count when you are beginning and learning to play. Who knows ? Counting might be a very primitive behavior after all. If more intelligent life forms exist,

        • Re: (Score:3, Insightful)

          by HybridJeff ( 717521 )

          The way I see it even though you aren't consciously thinking of the number of drum beats as they pass by, you are still perceiving that number of beats and keeping track of it somewhere in your sub conscious. You may not use the same system to count, but I would argue that any method which is used to keep track of an incrementally increasing value even when not specifically defined as a number is a form of counting.

          Music is probably the most common form of sub conscious counting we have, what is counting if

    • by MartinSchou ( 1360093 ) on Thursday November 26, 2009 @02:22AM (#30234544)

      As a drummer, I can create and reproduce the same roll on the fly. But if you asked me how many times I hit the drum pad, only then I would have to count

      Been quite a while since I played drums, but I still remember having to learn how to reproduce certain sequences, and that involved counting the number of repetitions.

      I can't remember what it's called but the one where you emphasise every third hit (i.e. HIT, hit, hit, HIT, hit, hit etc) came quite fast, and I can still do that one without even trying (including alternating between 2nd, 3rd and 4th). The one that has every fifth hit (HIT, hit, hit, hit, hit, HIT, hit, hit, hit, hit) is one I never got the hang of, and I remember spending a LOT of time trying to burn it into my muscle memory.

      But the 3rd one, while easy, still required learning by counting "ONE, two, three, ONE, two, three" for quite a while.

      My point is, when you get really really good at something, like drumming, you don't count at a concious level, but in order to get that good, you did need to count.

      • The GP's argument that it CAN be done without counting is still valid, as he provided himself as a counter-example.
    • Re: (Score:3, Informative)

      by discbrain ( 914811 )
      If you would have read the article (I didn't read it, but I'm from uulm and am familiar with the corresponding research results) or the referenced research, you would know that all what you stated is obviously taken account for. For example your "they only have to remember a picture of all the puppies and notices the picture"-statement is wrong because of the following experiment: An ant is taken from its current location and moved to another location some meters away. So the ant has no way to tell where i
    • by ebuck ( 585470 ) on Thursday November 26, 2009 @02:36AM (#30234612)

      Math isn't just about a bunch of numbers. Push down automata can count (I know, it's incredible! Even more so considering they have no fingers) The program as I heard it basically described a behaviour which could easily be simulated via a push down automata.

      As a drummer, you might be so accustomed to a particular rhythm that you don't count it out in the literal sense of counting out loud, but you do put eight strikes into a measure. Whether you acknowledge that as counting or not, it is still counting, it is just counting that you have become so accustomed to that you don't consider it counting because you need to reframe it in a different context before you can acknowledge to yourself that you are counting.

      Rather than using your own logic to falsify the scientist's hypothesis, perhaps you should have listened to the details of the experiment and observed the results. You might have found a superior but alternate explanation, in which case you would have expanded the realm of possibilities a bit. You might even be able to suggest a follow up experiment to differentiate between the counting hypothesis and your alternative to determine which is more correct.

      I take it that you haven't done much with functional programming languages, as there are often certain types of problems that are more easily solved in functional languages by counting in the manner of "one one one one one" (as five) than by actually storing a five.

      And while I'm at it, trade doesn't require counting. Bartering might involve counting, or it might simply be a swap of my fishtank for your LP collection. However, the idea that we knew counting would be good for trade so we developed counting is a cunning bit of mental gymnastics; it's the mental equivalent of putting the cart before the horse.

      • by lawpoop ( 604919 )

        As a drummer, you might be so accustomed to a particular rhythm that you don't count it out in the literal sense of counting out loud, but you do put eight strikes into a measure. Whether you acknowledge that as counting or not, it is still counting, it is just counting that you have become so accustomed to that you don't consider it counting because you need to reframe it in a different context before you can acknowledge to yourself that you are counting.

        I'm skeptical. There could be something else other than enumeration at some level going on. He could be perceiving it more like a frequency on some level.

        For instance, I was an exchange student in Finland. I learned to roll my 'r's when speaking Finnish. Years later, I read in a book about learning Finnish that Finns "give three or four flicks of the tongue for a rolled r". Thinking, I said several finished words to myself and realized that I was consistently doing 3 flicks. Nobody had ever told me 'three

        • by ebuck ( 585470 )
          A frequency is a count over a span of time. Frequency is a useful measurement, but dividing the count by time doesn't get rid of the fact that it's based on counting.
    • If you think more abstractly... There's no reason that "counting" has to denote that you mentally encode a number in decimal notation. If you can remember some nontrivial quantity, regardless of what process you use to recall it, I see no reason why you can't call that "counting".

      For example, we can say informally that a pushdown automaton has the ability to count, because it can retain some unbounded memory of the number of symbols it has encountered. The information is there, even if you can't directly

    • Re: (Score:2, Insightful)

      by Hurricane78 ( 562437 )

      Uuum... What you describe IS counting.

      It’s astonishing to what lengths people go, to preserve their arrogant world view of “superiority”.
      A hundred years ago, common “knowledge” was, that animals don’t “think” and have no “souls” or “emotions”. They thought they simply simulate it and are in fact basic automatons.

      Well, nowadays we know, that we are basic automatons too. That thinking and emotions are merely mechanisms. And that there is

      • It's still not counting, though it can reproduce the effects. A calculator doesn't actually count (it's just bit switching), but it reproduces the effect. Granted it means that whatever it's doing can simulate the effect of basic counting, but it in no way represents the understanding of numbers, which would be the implication of counting.
        • by hazem ( 472289 ) on Thursday November 26, 2009 @03:38AM (#30234850) Journal

          It's still not counting, though it can reproduce the effects. A calculator doesn't actually count (it's just bit switching), but it reproduces the effect. Granted it means that whatever it's doing can simulate the effect of basic counting, but it in no way represents the understanding of numbers

          Well, this is science. These researchers had a hypothesis that ants can count and devised an experiment to test the hypothesis. Based on their assumptions, the evidence from the experiments support their hypothesis.

          Your hypothesis is that it's not counting but something else. It seems the next step is for you to devise a way to isolate counting from doing a counting-like behavior in ants and do an experiment to test your hypothesis.

          However in a way, you're just playing with the definition. What does "understanding of numbers" mean? And is it really integral to counting? If you use pacecounter beads (Ranger beads: http://www.instructables.com/id/Army-Ranger-Beads/ [instructables.com]), you are "counting" on a piece of string but not actually keeping numbers in your head. In fact, the whole point of those is that you don't have to keep track of numbers because it's hard to do when you're exhausted and have all the other soldier-things to keep track of. You could use these beads to go out some distance, turn around and come back the same distance. You wouldn't have to use numbers in your head, but counting is still being done.

          • by MobyDisk ( 75490 )

            However in a way, you're just playing with the definition.

            It is this kind of "playing with the definition" that really helps science a lot. Suppose we can find another way that ants could do this, without counting. That might give us insight into how their brains and bodies work. That might help us to design smarter chips, or algorithms, or something like that. And when biology and psychology are involved, as is the case here, subtle things like that are actually very useful.

    • there is no difference between subconsiously counting the beats and consiously doing it - it's still counting the beats. your confusing counting with mroe complex MATHS, which as far as we know ants can't do.
    • What next, you'll be saying that a child who catches a ball thrown by the parent isn't doing quadratics in his head, or that a child recognizing a pitch of sound isn't doing a fourier analysis in his head. Pshaw!

      But really, as you say, there are many ways to implement "don't walk past the home nest" than counting the number of ant steps. Assuming a consistent pace, walking for some amount of time would do, or walking until you get run down a certain amount, etc. Once near the nest, there are presumably ot

    • As a drummer, I can create and reproduce the same roll on the fly. But if you asked me how many times I hit the drum pad, only then I would have to count. I did not need to count in order to reproduce the roll nor did I know how many times I actually hit the drum pads.

      ...and if while you weren't looking somebody switched your drum sticks for another set, longer or shorter than you were using, would you play slower or faster accordingly?

    • I just knew it. The drummer isn't counting. They always say that they're counting but here's the proof!

      How can you tell a drummer's at the door?
      The knocking speeds up.

    • by Snaller ( 147050 )

      And there are a lot of Ant drummers.

    • by Rary ( 566291 )

      As a drummer, I can create and reproduce the same roll on the fly. But if you asked me how many times I hit the drum pad, only then I would have to count. I did not need to count in order to reproduce the roll nor did I know how many times I actually hit the drum pads.

      If that roll were more than a few seconds long, you would likely have to count. You wouldn't necessarily count the actual individual drum hits, but you would likely count the beats, or the bars, or the seconds, or something.

      This leads me to believe ants cannot count, why would they need to.

      Well, maybe to be able to travel great distances and then return to where they came from? Much like the theory suggests they are doing.

      Counting is good for humans in order to trade, so they have developed that capability.

      You misunderstand evolution. Humans have the capability to count, so they have developed trade utilizing that capability. Similarly, ants (theoretically)

  • I felt a pang... (Score:5, Insightful)

    by crioca ( 1394491 ) on Thursday November 26, 2009 @02:04AM (#30234464)
    couldn't help imagining what it would be like for one of the ants that had it's legs cut off, was made to walk home across the desert on it's stumps and then was totally bewildered as to where it's home had gone. I know they're just ants, but damn that's sad.
    • So did I :( (Score:2, Funny)

      by Anonymous Coward

      Especially when you think how similar to us ants really are. I mean, when I read:

      ants squeeze certain glands that leave a chemical trail

      I went "I can do that too!"

    • by Korbeau ( 913903 )

      Few ants escape the great finger of God, they should be grateful to get off with only a few scratches!

    • by MarkRose ( 820682 ) on Thursday November 26, 2009 @02:28AM (#30234576) Homepage

      I'll, too, admit that the thought of having my limbs chopped makes me a bit antsy...

    • Many species of ants have elaborate social structures. Ants communicate with one another through touching, chirping, hearing, feeling, and chemical perception. Some species of ants live solely by enslaving other ant species to do their food gathering for them. Ants farm lesser species such as aphids for their excretions.

      Don't feel too bad.They'd enslave us and use us for our excretions too if they could. If ants weren't so tiny, we would be at war with them, and they'd be pretty badass foes.

    • From TFA (emphasis mine),

      Scientists put stilts on desert ants and discovered that in time, the ants could calculate the correct number of steps it took to get home.

      :). TYVM.

      • by Sanat ( 702 )

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    • by 4D6963 ( 933028 )

      Yeah, except they don't have hands and feet, but exoskeletons. They work a bit differently from us. I'm not sure how you can relate to having your exoskeletal legs shortened.

    • by VShael ( 62735 )

      I know what you mean.
      My first thought reading through the post, was "Oh, maybe they put a sort of treadmill en-route to make the number of steps less than the required amount to reach home" and then I got to the "pull the legs off bit".

      I guess I don't have the amorality in me, to make it as a real scientist.

      What happened to giants of the community like Feynmann, and the way he treated his ants [mathpages.com]?

  • ++?????++ Out of Cheese Error. Redo From Start.

  • by gandhi_2 ( 1108023 ) on Thursday November 26, 2009 @02:09AM (#30234492) Homepage

    but not direction. Like doing "dead reckoning" with pace but no azimuth.

    • Re: (Score:2, Informative)

      by Vaphell ( 1489021 )
      bees recognize directions by the light polarization - their eyes are able to differentiate polarization which is dependant on angle between the chosen direction and the sun position. Maybe these ants use similar technique.
  • by Psaakyrn ( 838406 ) on Thursday November 26, 2009 @02:10AM (#30234494)
    So, it's like changing the tires of a car to a larger or smaller one then miscounting the distance traveled based on rotations?
  • I'm not being too serious here, but, even though these are just ants, wouldn't it be wrong to assume that I didn't arrive home with my legs cut off beneath the knee because of the resulting leg length?

    I mean even though ants a just insects they are really complex mechanisms and there might be some form of damage reaction other than shorter steps after a partial limb loss - like general weakness and reduced desire to go anywhere at all?

    Still, desert-roaming ants on stilts (I'm guessing that's how they've inc

    • They said the ants with the short legs took the same number of steps. It would be unlikely that they would get tired or give up at that specific point.

    • by ebuck ( 585470 ) on Thursday November 26, 2009 @02:55AM (#30234704)

      Well, that might be a good explanation for the reason the short legged ants failed to arrive home. However, it doesn't explain why the artificially leg lengthened ants overshot their nest. I mean, if it were you or me, we would have seen our home and stopped, so the ants must really heavily rely on step counting.

    • Actually - you raise an interesting point, though I think the other stilt-test discounts it, but I remember reading that insects have neuron clusters on each limb, which respond to stimulus and control them. This is part of how they are able to navigate such complex terrain - dedicated mini-brains on each leg controlling just that leg.
      One has to wonder if they made sure not to damage those nerve-clusters.

  • "Help! Help! I c'ant find my home!" she said.

  • by dirkdodgers ( 1642627 ) on Thursday November 26, 2009 @02:25AM (#30234562)

    I can think of a number of follow-on experiments to tell us more about this mechanic.

    First I think you'd want to establish more conclusively that it is counting or memory of steps or actions, and not something in the environment:
    - Replace the sand behind them on their path and see whether they can still get back.
    - Put them on a treadmill to get to their location and back so that their aren't actually moving relative to the earth and see whether they still get back.
    - Once this get to the food, rotate the artificial section of ground it is on 180 degrees and see whether they still get back.
    - Change the wind direction in an artificial environment and see whether they can still get back.
    - Reverse the location of the primary light source in an artificial environment and see whether they can still get back.

    Then explore the limits of the counting or action memory mechanism:
    - Keep extending the number of steps to get to food until they can't remember how many steps to get back.
    - Keep extending the number of steps in a path with a turn in it, on each side of the turn, and compare to the path with no turn.

    • by dzfoo ( 772245 )

      I listened to the story yesterday on the radio, and as far as I recall, they implied that the scientists performing the experiment acknowledged that the ants actually took the same number of steps when returning home. This is why they claim that the ants either over- or under-shot their home nest when returning, not just that they stopped somewhere else.

      If they actually counted the steps the ants took each way and confirmed them to be the same, then this is significant, and gives more credence to the "pedo

  • This is oooold news (Score:4, Informative)

    by TubeSteak ( 669689 ) on Thursday November 26, 2009 @02:26AM (#30234572) Journal

    Science 30 June 2006:
    The Ant Odometer: Stepping on Stilts and Stumps
    http://www.sciencemag.org/cgi/content/abstract/312/5782/1965 [sciencemag.org]

    And here's the original /. story from 2006
    http://science.slashdot.org/article.pl?sid=06/06/30/006245 [slashdot.org]

  • by dltaylor ( 7510 ) on Thursday November 26, 2009 @02:33AM (#30234606)

    To determine how what proportion each leg contributed to a frog's jumping distance, a scientist trained a frog to jump on command. He then measured the distance with all legs, and remeasured after successively removing one leg at a time.

    His conclusion: that since the frog, with all legs removed, did not jump after hearing the command, that the frog was now deaf.

  • I wonder... (Score:1, Funny)

    by Anonymous Coward

    How do these scientists at the University of Ulm get to and from their homes when the ants are not counting for them?

  • Does it mean..? (Score:3, Insightful)

    by roman_mir ( 125474 ) on Thursday November 26, 2009 @02:47AM (#30234662) Homepage Journal

    But does it mean that they can sort tiny screws in space?

  • Homing in (Score:3, Interesting)

    by foobsr ( 693224 ) on Thursday November 26, 2009 @02:53AM (#30234682) Homepage Journal
    TFA: "Gould says it's pretty clear ants don't have maps in their heads and don't recognize markers along the route."

    Quote: "Celestial cues, such as the sun or patterns of polarized sky light, appear to have no detectable effect in the precise homing orientation of foragers of Paltothyreus tarsatus. Field and laboratory experiments reveal that canopy patterns are a major influence in the home range orientation of this ponerine ant, a common species in African forests. Canopy orientation appears to be well suited to the restrictive lighting conditions of tropical forests."

    c.f. [sciencemag.org] Canopy Orientation: A New Kind of Orientation in Ants; BERT HÖLLDOBLER, 1980

    Quote: "Cataglyphis bicolor, an ant widely distributed in North Africa and the Near East, orient to the sun as well as to visual patterns of the environment. These two mechanisms can be separated. Foraging ants (hunters) orient to terrestrial cues as long as possible, and only after these have become ineffective do they switch over to the menotactical sun orientation. In the digging individuals, however, the visual knowledge of locality is significantly inferior to that of the hunters. Diggers vary considerably in size, but hunters belong to the largest size group. In addition, the largest and smallest individuals orient differently toward black and white areas and stripe patterns."

    c.f. [sciencemag.org] Homing in the Ant Cataglyphis bicolor; Rudiger Wehner and Randolf Menzel, 1969

    How to become an expert 'in ants' these days?

    CC.
  • by criptic08 ( 1255326 ) on Thursday November 26, 2009 @03:03AM (#30234726)
    If ants have mastered abstract thinking we're all in deep trouble.
  • For anyone wondering why this story is tagged phaseiv [imdb.com]...

    I thought it was pretty cool, because AFAI knew I was the only person who remembered this film.

  • 1, 2, 3, 4, 5, 6, 7, 8, 9, 10/A, 11/B, 12/C, 13/D, 14/E, 15/F, ... :D

  • Might not be relevant to the topic at hand per se, but this is _old_ news. I saw this several years ago...

  • Let me guess, the scientists refer to them as "A count ant". (Gets pelted with tomatoes.)
  • Ants carry with them a cognitive map, that is an image of their environment (created from perceived and recalled information) and a self-image (their kinesthetic perception of their self embedded in the environment). They compare their environment with their self image constantly to locate/orient themselves and detect/evaluate potentially positive or negative environmental elements. In that comparison is direction and distance related information with which they can estimate walking time/steps. If either or

  • This reminds me of the book by Jeff Noon. In it Alice (of Alice in wonderland fame) travels to an alternate reality in which she has shrunk to the same size as some termites.
    The termites are running around frantically while she follows. It turns out she was caught in a mathematical calculation where the termites movements could be used to solve complex problems.
    Quite fun really, I recommend Vurt if you want an introduction to Jeff Noon.
  • >and the experiment used to test it involves manipulating the leg length of some of these ants
    The would either use pieces of duck tape to hold the dismembered limbs together after having cut them to make different length legs..
    or add wood chips to the bottom to increase the length beyond the leg length.

    I would hate to be one of those ants on that day!

  • Not only is this result super old, but the conclusion has also been invalidated for quite some time. Changing the structure of the ants' legs can change their ability to integrate distance in many ways. The pedometer hypothesis is but one explanation.

    That explanation does not hold up when considered with other results, such as testing ants leaving and coming back over different terrains. If ants are counting steps, then hilly vs. flat terrain will cause problems (since hilly terrains require more steps than

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