Chapter 7
When satisfied, she flew away and returned to the hive. I followed, saw her pass over the surface of the crowd, plunge her head into an empty cell, disgorge her honey, and prepare to set forth again. At the door of the hive I had placed a glass box, divided by a trap into two compartments. The bee flew into this box; and as she was alone, and no other bee seemed to accompany or follow her, I imprisoned her and left her there. I then repeated the experiment on twenty different bees in succession. When the marked bee reappeared alone, I imprisoned her as I had imprisoned the first. But eight of them came to the threshold of the hive and entered the box accompanied by two or three friends. By means of the trap I was able to separate the marked bee from her companions, and to keep her a prisoner in the first compartment. Then, having marked her companions with a different colour, I threw open the second compartment and set them at liberty, myself returning quickly to my study to await their arrival. Now it is evident that if a verbal or magnetic communication had passed, indicating the place, describing the way, etc., a certain number of the bees, having been furnished with this information, should have found their way to my room. I am compelled to admit that there came but a single one. Was this mere chance, or had she followed instructions received? The experiment was insufficient, but circumstances prevented me from carrying it further. I released the "baited" bees, and my study soon was besieged by the buzzing crowd to whom they had taught the way to the treasure.
We need not concern ourselves with this incomplete attempt of mine, for many other curious traits compel us to recognise the existence among the bees of spiritual communications that go beyond a mere "yes" or "no," and that are manifest in cases where mere example or gesture would not be sufficient. Of such, for instance, are the remarkable harmony of their work in the hive, the extraordinary division of labour, the regularity with which one worker will take the place of another, etc. I have often marked bees that went foraging in the morning, and found that, in the afternoon, unless flowers were specially abundant, they would be engaged in heating and fanning the brood-cells, or perhaps would form part of the mysterious, motionless curtain in whose midst the wax-makers and sculptors would be at work. Similarly I have noticed that workers whom I have seen gathering pollen for the whole of one day, will bring no pollen back on the morrow, but will concern themselves exclusively with the search for nectar, and vice-versa.
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And further, we might mention what M. Georges de Layens, the celebrated French apiarist, terms the "Distribution of Bees over Melliferous Plants." Day after day, at the first hour of sunrise, the explorers of the dawn return, and the hive awakes to receive the good news of the earth. "The lime trees are blossoming to-day on the banks of the canal." "The grass by the roadside is gay with white clover." "The sage and the lotus are about to open." "The mignonette, the lilies are overflowing with pollen." Whereupon the bees must organise quickly, and arrange to divide the work. Five thousand of the sturdiest will sully forth to the lime trees, while three thousand juniors go and refresh the white clover. Those who yesterday were absorbing nectar from the corollas will to-day repose their tongue and the glands of their sac, and gather red pollen from the mignonette, or yellow pollen from the tall lilies; for never shall you see a bee collecting or mixing pollen of a different colour or species; and indeed one of the chief pre-occupations of the hive is the methodical bestowal of these pollens in the store-rooms, in strict accordance with their origin and colour. Thus does the hidden genius issue its commands. The workers immediately sally forth, in long black files, whereof each one will fly straight to its allotted task. "The bees," says De Layens, "would seem to be perfectly informed as to the locality, the relative melliferous value, and the distance of every melliferous plant within a certain radius from the hive.
"If we carefully note the different directions in which these foragers fly, and observe in detail the harvest they gather from the various plants around, we shall find that the workers distribute themselves over the flowers in proportion not only to the numbers of flowers of one species, but also to their melliferous value. Nay, more--they make daily calculations as to the means of obtaining the greatest possible wealth of saccharine liquid. In the spring, for instance, after the willows have bloomed, when the fields still are bare, and the first flowers of the woods are the one resource of the bees, we shall see them eagerly visiting gorse and violets, lungworts and anemones. But, a few days later, when fields of cabbage and colza begin to flower in sufficient abundance, we shall find that the bees will almost entirely forsake the plants in the woods, though these be still in full blossom, and will confine their visits to the flowers of cabbage and colza alone. In this fashion they regulate, day by day, their distribution over the plants, so as to collect the greatest value of saccharine liquid in the least possible time.
"It may fairly be claimed, therefore, for the colony of bees that, in its harvesting labours no less than in its internal economy, it is able to establish a rational distribution of the number of workers without ever disturbing the principle of the division of labour."
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But what have we to do, some will ask, with the intelligence of the bees? What concern is it of ours whether this be a little less or a little more? Why weigh, with such infinite care, a minute fragment of almost invisible matter, as though it were a fluid whereon depended the destiny of man? I hold, and exaggerate nothing, that our interest herein is of the most considerable. The discovery of a sign of true intellect outside ourselves procures us something of the emotion Robinson Crusoe felt when he saw the imprint of a human foot on the sandy beach of his island. We seem less solitary than we had believed. And indeed, in our endeavour to understand the intellect of the bees, we are studying in them that which is most precious in our own substance: an atom of the extraordinary matter which possesses, wherever it attach itself, the magnificent power of transfiguring blind necessity, of organising, embellishing, and multiplying life; and, most striking of all, of holding in suspense the obstinate force of death, and the mighty, irresponsible wave that wraps almost all that exists in an eternal unconsciousness.
Were we sole possessors of the particle of matter that, when maintained in a special condition of flower or incandescence, we term the intellect, we should to some extent be entitled to look on ourselves as privileged beings, and to imagine that in us nature achieved some kind of aim; but here we discover, in the hymenoptera, an entire category of beings in whom a more or less identical aim is achieved. And this fact, though it decide nothing perhaps, still holds an honourable place in the mass of tiny facts that help to throw light on our position in this world. It affords even, if considered from a certain point of view, a fresh proof of the most enigmatic part of our being; for the superpositions of destinies that we find in the hive are surveyed by us from an eminence loftier than any we can attain for the contemplation of the destinies of man. There we see before us, in miniature, the large and simple lines that in our own disproportionate sphere we never have the occasion to disentangle and follow to the end. Spirit and matter are there, the race and the individual, evolution and permanence, life and death, the past and the future; all gathered together in a retreat that our hand can lift and one look of our eye embrace. And may we not reasonably ask ourselves whether the mere size of a body, and the room that it fills in time and space, can modify to the extent we imagine the secret idea of nature; the idea that we try to discover in the little history of the hive, which in a few days already is ancient, no less than in the great history of man, of whom three generations overlap a long century?
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Let us go on, then, with the story of our hive; let us take it up where we left it; and raise, as high as we may, a fold of the festooned curtain in whose midst a strange sweat, white as snow and airier than the down of a wing, is beginning to break over the swarm. For the wax that is now being born is not like the wax that we know; it is immaculate, it has no weight; seeming truly to be the soul of the honey, that itself is the spirit of flowers. And this motionless incantation has called it forth that it may serve us, later--in memory of its origin, doubtless, wherein it is one with the azure sky, and heavy with perfumes of magnificence and purity--as the fragrant light of the last of our altars.
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To follow the various phases of the secretion and employment of wax by a swarm that is beginning to build, is a matter of very great difficulty. All comes to pass in the blackest depths of the crowd, whose agglomeration, growing denser and denser, produces the temperature needful for this exudation, which is the privilege of the youngest bees. Huber, who was the first to study these phenomena, bringing incredible patience to bear and exposing himself at times to very serious danger, devotes to them more than two hundred and fifty pages; which, though of considerable interest, are necessarily somewhat confused. But I am not treating this subject technically; and while referring when necessary to Huber's admirable studies, I shall confine myself generally to relating what is patent to any one who may gather a swarm into a glass hive.
We have to admit, first of all, that we know not yet by what process of alchemy the honey transforms itself into wax in the enigmatic bodies of our suspended bees. We can only say that they will remain thus suspended for a period extending from eighteen to twenty-four hours, in a temperature so high that one might almost believe that a fire was burning in the hollow of the hive; and then white and transparent scales will appear at the opening of four little pockets that every bee has underneath its abdomen.
When the bodies of most of those who form the inverted cone have thus been adorned with ivory tablets, we shall see one of the bees, as though suddenly inspired, abruptly detach herself from the mass, and climb over the backs of the passive crowd till she reach the inner pinnacle of the cupola. To this she will fix herself solidly, dislodging, with repeated blows of her head, such of her neighbours as may seem to hamper her movements. Then, with her mouth and claws, she will seize one of the eight scales that hang from her abdomen, and at once proceed to clip it and plane it, extend it, knead it with her saliva, bend it and flatten it, roll it and straighten it, with the skill of a carpenter handling a pliable panel. When at last the substance, thus treated, appears to her to possess the required dimensions and consistency, she will attach it to the highest point of the dome, thus laying the first, or rather the keystone of the new town; for we have here an inverted city, hanging down from the sky, and not rising from the bosom of earth like a city of men.
To this keystone, depending in the void, she will add other fragments of wax that she takes in succession from beneath her rings of horn; and finally, with one last lick of the tongue, one last wave of antennae, she will go as suddenly as she came, and disappear in the crowd. Another will at once take her place, continue the work at the point where the first one has left it, add on her own, change and adjust whatever may seem to offend the ideal plan of the tribe, then vanish in her turn, to be succeeded by a third, a fourth, and a fifth, all appearing unexpectedly, suddenly, one after the other, none completing the work, but each bringing her share to the task in which all combine.
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A small block of wax, formless as yet, hangs down from the top of the vault. So soon as its thickness may be deemed sufficient, we shall see another bee emerge from the mass, her physical appearance differing appreciably from that of the foundresses who preceded her. And her manner displays such settled conviction, her movements are followed so eagerly by all the crowd, that we almost might fancy that some illustrious engineer had been summoned to trace in the void the site of the first cell of all, from which every other must mathematically depend. This bee belongs to the sculptor or carver class of workers; she produces no wax herself and is content to deal with the materials others provide. She locates the first cell, scoops into the block for an instant, lays the wax she has removed from the cavity on the borders around it; and then, like the foundresses, abruptly departs and abandons her model. Her place is taken at once by an impatient worker, who continues the task that a third will finish, while others close by are attacking the rest of the surface and the opposite side of the wall; each one obeying the general law of interrupted and successive labour, as though it were an inherent principle of the hive that the pride of toil should be distributed, and every achievement be anonymous and common to all, that it might thereby become more fraternal.
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The outline of the nascent comb may soon be divined. In form it will still be lenticular, for the little prismatic tubes that compose it are unequal in length, and diminish in proportion as they recede from the centre to the extremities. In thickness and appearance at present it more or less resembles a human tongue whose sides might be formed of hexagonal cells, contiguous, and placed back to back.
The first cells having been built, the foundresses proceed to add a second block of wax to the roof; and so in gradation a third and a fourth. These blocks follow each other at regular intervals so nicely calculated that when, at a much later period, the comb shall be fully developed, there will be ample space for the bees to move between its parallel walls.
Their plan must therefore embrace the final thickness of every comb, which will be from eighty-eight to ninety-two hundredths of an inch, and at the same time the width of the avenues between, which must be about half an inch, or in other words twice the height of a bee, since there must be room to pass back to back between the combs.
The bees, however, are not infallible, nor does their certainty appear mechanical. They will commit grave errors at times, when circumstances present unusual difficulty. They will often leave too much space, or too little, between the combs. This they will remedy as best they can, either by giving an oblique twist to the comb that too nearly approaches the other, or by introducing an irregular comb into the gap. "The bees sometimes make mistakes," Reaumur remarks on this subject, "and herein we may find yet another fact which appears to prove that they reason."
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We know that the bees construct four kinds of cells. First of all, the royal cells, which are exceptional, and contrived somewhat in the shape of an acorn; then the large cells destined for the rearing of males and storing of provisions when flowers super-abound; and the small cells, serving as workers' cradles and ordinary store-rooms, which occupy normally about four-fifths of the built-over surface of the hive. And lastly, so as to connect in orderly fashion the larger cells with the small, the bees will erect a certain number of what are known as transition cells. These must of necessity be irregular in form; but so unerringly accurate are the dimensions of the second and third types that, at the time when the decimal system was established, and a fixed measure sought in nature to serve as a starting-point and an incontestable standard, it was proposed by Reaumur to select for this purpose the cell of the bee.*
*It was as well, perhaps, that this standard was not adopted. For although the diameter of the cells is admirably regular, it is, like all things produced by a living organism, not _mathematically_ invariable in the same hive. Further, as M. Maurice Girard has pointed out, the apothem of the cell varies among different races of bees, so that the standard would alter from hive to hive, according to the species of bee that inhabited it.
Each of the cells is an hexagonal tube placed on a pyramidal base; and two layers of these tubes form the comb, their bases being opposed to each other in such fashion that each of the three rhombs or lozenges which on one side constitute the pyramidal base of one cell, composes at the same time the pyramidal base of three cells on the other. It is in these prismatic tubes that the honey is stored; and to prevent its escaping during the period of maturation,--which would infallibly happen if the tubes were as strictly horizontal as they appear to be,--the bees incline them slightly, to an angle of 4 deg or 5 deg.
"Besides the economy of wax," says Reaumur, when considering this marvellous construction in its entirety, "besides the economy of wax that results from the disposition of the cells, and the fact that this arrangement allows the bees to fill the comb without leaving a single spot vacant, there are other advantages also with respect to the solidity of the work. The angle at the base of each cell, the apex of the pyramidal cavity, is buttressed by the ridge formed by two faces of the hexagon of another cell. The two triangles, or extensions of the hexagon faces which fill one of the convergent angles of the cavity enclosed by the three rhombs, form by their junction a plane angle on the side they touch; each of these angles, concave within the cell, supports, on its convex side, one of the sheets employed to form the hexagon of another cell; the sheet, pressing on this angle, resists the force which is tending to push it outwards; and in this fashion the angles are strengthened. Every advantage that could be desired with regard to the solidity of each cell is procured by its own formation and its position with reference to the others."
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"There are only," says Dr. Reid, "three possible figures of the cells which can make them all equal and similar, without any useless interstices. These are the equilateral triangle, the square, and the regular hexagon. Mathematicians know that there is not a fourth way possible in which a plane shall be cut into little spaces that shall be equal, similar, and regular, without useless spaces. Of the three figures, the hexagon is the most proper for convenience and strength. Bees, as if they knew this, make their cells regular hexagons.
"Again, it has been demonstrated that, by making the bottoms of the cells to consist of three planes meeting in a point, there is a saving of material and labour in no way inconsiderable. The bees, as if acquainted with these principles of solid geometry, follow them most accurately. It is a curious mathematical problem at what precise angle the three planes which compose the bottom of a cell ought to meet, in order to make the greatest possible saving, or the least expense of material and labour.* This is one of the problems which belong to the higher parts of mathematics. It has accordingly been resolved by some mathematicians, particularly by the ingenious Maclaurin, by a fluctionary calculation which is to be found in the Transactions of the Royal Society of London. He has determined precisely the angle required, and he found, by the most exact mensuration the subject would admit, that it is the very angle in which the three planes at the bottom of the cell of a honey comb do actually meet."
*Reaumur suggested the following problem to the celebrated mathematician Koenig: "Of all possible hexagonal cells with pyramidal base composed of three equal and similar rhombs, to find the one whose construction would need the least material." Koenig's answer was, the cell that had for its base three rhombs whose large angle was 109 deg 26', and the small 70 deg 34'. Another savant, Maraldi, had measured as exactly as possible the angles of the rhombs constructed by the bees, and discovered the larger to be 109 deg 28', and the other 70 deg 32'. Between the two solutions there was a difference, therefore, of only 2'. It is probable that the error, if error there be, should be attributed to Maraldi rather than to the bees; for it is impossible for any instrument to measure the angles of the cells, which are not very clearly defined, with infallible precision.
The problem suggested to Koenig was put to another mathematician, Cramer, whose solution came even closer to that of the bees, viz., 109 deg 28 1/2' for the large angle, and 70 deg 31 1/2' for the small.
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I myself do not believe that the bees indulge in these abstruse calculations; but, on the other hand, it seems equally impossible to me that such astounding results can be due to chance alone, or to the mere force of circumstance. The wasps, for instance, also build combs with hexagonal cells, so that for them the problem was identical, and they have solved it in a far less ingenious fashion. Their combs have only one layer of cells, thus lacking the common base that serves the bees for their two opposite layers. The wasps' comb, therefore, is not only less regular, but also less substantial; and so wastefully constructed that, besides loss of material, they must sacrifice about a third of the available space and a quarter of the energy they put forth. Again, we find that the trigonae and meliponae, which are veritable and domesticated bees, though of less advanced civilisation, erect only one row of rearing-cells, and support their horizontal, superposed combs on shapeless and costly columns of wax. Their provision-cells are merely great pots, gathered together without any order; and, at the point between the spheres where these might have intersected and induced a profitable economy of space and material, the meliponae clumsily insert a section of cells with flat walls. Indeed, to compare one of their nests with the mathematical cities of our own honey-flies, is like imagining a hamlet composed of primitive huts side by side with a modern town; whose ruthless regularity is the logical, though perhaps somewhat charmless, result of the genius of man, that to-day, more fiercely than ever before, seeks to conquer space, matter, and time.
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