And her manner displays such settled conviction, her movements are followed so eagerly by all the crowd, that we almost might fancy that some ill.u.s.trious 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 cla.s.s 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 s.p.a.ce 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 pa.s.s 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 circ.u.mstances present unusual difficulty. They will often leave too much s.p.a.ce, 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 const.i.tute 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 b.u.t.tressed 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 s.p.a.ces that shall be equal, similar, and regular, without useless s.p.a.ces. 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 circ.u.mstance. 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 s.p.a.ce 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 s.p.a.ce 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 s.p.a.ce, matter, and time.

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There is a theory, originally propounded by Buffon and now revived, which a.s.sumes that the bees have not the least intention of constructing hexagons with a pyramidal base, but that their desire is merely to contrive round cells in the wax; only, that as their neighbours, and those at work on the opposite side of the comb, are digging at the same moment and with the same intentions, the points where the cells meet must of necessity become hexagonal. Besides, it is said, this is precisely what happens to crystals, the scales of certain kinds of fish, soap-bubbles, etc., as it happens in the following experiment that Buffon suggested. "If," he said, "you fill a dish with peas or any other cylindrical bean, pour as much water into it as the s.p.a.ce between the beans will allow, close it carefully and then boil the water, you will find that all these cylinders have become six-sided columns. And the reason is evident, being indeed purely mechanical; each of the cylindrical beans tends, as it swells, to occupy the utmost possible s.p.a.ce within a given s.p.a.ce; wherefore it follows that the reciprocal compression compels them all to become hexagonal. Similarly each bee seeks to occupy the utmost possible s.p.a.ce within a given s.p.a.ce, with the necessary result that, its body being cylindrical, the cells become hexagonal for the same reason as before, viz., the working of reciprocal obstacles."

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These reciprocal obstacles, it would seem, are capable of marvellous achievement; on the same principle, doubtless, that the vices of man produce a general virtue, whereby the human race, hateful often in its individuals, ceases to be so in the ma.s.s. We might reply, first of all, with Brougham, Kirby and Spence, and others, that experiments with peas and soap-bubbles prove nothing; for the reason that in both cases the pressure produces only irregular forms, and in no wise explains the existence of the prismatic base of the cells. But above all we might answer that there are more ways than one of dealing with rigid necessity; that the wasp, the humble-bee, the trigonae and meliponae of Mexico and Brazil achieve very different and manifestly inferior results, although the circ.u.mstances, and their own intentions, are absolutely identical with those of the bees. It might further be urged that if the bee's cell does indeed follow the law that governs crystals, snow, soap-bubbles, as well as Buffon's boiled peas, it also, through its general symmetry, disposition in opposite layers, and angle of inclination, obeys many other laws that are not to be found in matter. May we not say, too, of man that all his genius is comprised in his fashion of handling kindred necessities? And if it appear to us that his manner of treating these is the best there can possibly be, the reason only can lie in the absence of a judge superior to ourselves. But it is well that argument should make way for fact; and indeed, to the objection based on an experiment, the best reply of all must be a counter-experiment.

In order to satisfy myself that hexagonal architecture truly was written in the spirit of the bee, I cut off and removed one day a disc of the size of a five-franc piece from the centre of a comb, at a spot where there were both brood-cells and cells full of honey. I cut into the circ.u.mference of this disc, at the intersecting point of the pyramidal cells; inserted a piece of tin on the base of one of these sections, shaped exactly to its dimensions, and possessed of resistance sufficient to prevent the bees from bending or twisting it. Then I replaced the slice of comb, duly furnished with its slab of tin, on the spot whence I had removed it; so that, while one side of the comb presented no abnormal feature, the damage having been repaired, the other displayed a sort of deep cavity, covering the s.p.a.ce of about thirty cells, with the piece of tin as its base. The bees were disconcerted at first; they flocked in numbers to inspect and examine this curious chasm; day after day they wandered agitatedly to and fro, apparently unable to form a decision. But, as I fed them copiously every evening, there came a moment when they had no more cells available for the storage of provisions. Thereupon they probably summoned their great engineers, distinguished sculptors, and wax-workers, and invited them to turn this useless cavity to profitable account.

The wax-makers having gathered around and formed themselves into a dense festoon, so that the necessary heat might be maintained, other bees descended into the hole and proceeded solidly to attach the metal, and connect it with the walls of adjacent cells, by means of little waxen hooks which they distributed regularly over its surface. In the upper semicircle of the disc they then began to construct three or four cells, uniting these to the hooks. Each of these transition, or accommodation, cells was more or less deformed at the top, to allow of its being soldered to the adjoining cell on the comb; but its lower portion already designed on the tin three very clear angles, whence there ran three little straight lines that correctly indicated the first half of the following cell.

After forty-eight hours, and notwithstanding the fact that only three bees at a time were able to work in the cavity, the entire surface of the tin was covered with outlined cells. These were less regular, certainly, than those of an ordinary comb; wherefore the queen, having inspected them, wisely declined to lay any eggs there, for the generation that would have arisen therefrom would necessarily have been deformed. Each cell, however, was a perfect hexagon; nor did it contain a single crooked line, a single curved figure or angle. And yet the ordinary conditions had all been changed; the cells had neither been scooped out of a block, according to Huber's description, nor had they been designed within a waxen hood, and, from being circular at first, been subsequently converted into hexagons by the pressure of adjoining cells, as explained by Darwin. Neither could there be question here of reciprocal obstacles, the cells having been formed one by one, and their first lines traced on what practically was a bare table. It would seem incontestable, therefore, that the hexagon is not merely the result of mechanical necessities, but that it has its true place in the plans, the experience, the intellect and will of the bee. I may relate here another curious instance of the workers' sagacity: the cells they built on the tin had no other base than the metal itself. The engineers of the corps had evidently decided that the tin could adequately retain the honey; and had considered that, the substance being impermeable, they need not waste the material they value so highly by covering the metal with a layer of wax. But, a short time after, some drops of honey having been placed in two of these cells, the bees discovered, in tasting it, that the contact of the metal had a deteriorating effect. Thereupon they reconsidered the matter, and covered over with wax the entire surface of the tin.

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Were it our desire to throw light upon all the secrets of this geometric architecture, we should have more than one curious question still to consider; as for instance the shape of the first cells, which, being attached to the roof, are modified in such a manner as to touch the roof at the greatest possible number of points.

The design of the princ.i.p.al thoroughfares is determined by the parallelism of the combs; but we must admire the ingenious construction of alleys and gangways through and around the comb, so skilfully contrived as to provide short cuts in every direction and prevent congestion of traffic, while ensuring free circulation of air. And finally we should have to study the construction of transition cells, wherein we see a unanimous instinct at work that impels the bees at a given moment to increase the size of their dwellings. Three reasons may dictate this step: an extraordinary harvest may call for larger receptacles, the workers may consider the population to be sufficiently numerous, or it may have become necessary that males should be born. Nor can we in such cases refrain from wondering at the ingenious economy, the unerring, harmonious conviction, with which the bees will pa.s.s from the small to the large, from the large to the small; from perfect symmetry to, where unavoidable, its very reverse, returning to ideal regularity so soon as the laws of a live geometry will allow; and all the time not losing a cell, not suffering a single one of their numerous structures to be sacrificed, to be ridiculous, uncertain, or barbarous, or any section thereof to become unfit for use. But I fear that I have already wandered into many details that will have but slender interest for the reader, whose eyes perhaps may never have followed a flight of bees; or who may have regarded them only with the pa.s.sing interest with which we are all of us apt to regard the flower, the bird or the precious stone, asking of these no more than a slight superficial a.s.surance, and forgetting that the most trivial secret of the non-human object we behold in nature connects more closely perhaps with the profound enigma of our origin and our end, than the secret of those of our pa.s.sions that we study the most eagerly and the most pa.s.sionately.

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And I will pa.s.s over too--in my desire that this essay shall not become too didactic--the remarkable instinct that induces the bees at times to thin and demolish the extremity of their combs, when these are to be enlarged or lengthened; though it must be admitted that in this case the "blind building instinct" fails signally to account for their demolishing in order that they may rebuild, or undoing what has been done that it may be done afresh, and with more regularity. I will content myself also with a mere reference to the remarkable experiment that enables us, with the aid of a piece of gla.s.s, to compel the bees to start their combs at a right angle; when they most ingeniously contrive that the enlarged cells on the convex side shall coincide with the reduced cells on the concave side of the comb.

But before finally quitting this subject let us pause, though it be but for an instant, and consider the mysterious fashion in which they manage to act in concert and combine their labour, when simultaneously carving two opposite sides of a comb, and unable therefore to see each other. Take a finished comb to the light, fix your eyes on the diaphanous wax; you will see, most clearly designed, an entire network of sharply cut prisms, a whole system of concordances so infallible that one might almost believe them to be stamped on steel.

I wonder whether those who never have seen the interior of a hive can form an adequate conception of the arrangement and aspect of the combs. Let them imagine--we will take a peasant's hive, where the bee is left entirely to its own resources--let them imagine a dome of straw or osier, divided from top to bottom by five, six, eight, sometimes ten, strips of wax, resembling somewhat great slices of bread, that run in strictly parallel lines from the top of the dome to the floor, espousing closely the shape of the ovoid walls.

Between these strips is contrived a s.p.a.ce of about half an inch, to enable the bees to stand and to pa.s.s each other. At the moment when they begin to construct one of these strips at the top of the hive, the waxen wall (which is its rough model, and will later be thinned and extended) is still very thick, and completely excludes the fifty or sixty bees at work on its inner face from the fifty or sixty simultaneously engaged in carving the outer, so that it is wholly impossible for one group to see the other, unless indeed their sight be able to penetrate opaque matter. And yet there is not a hole that is scooped on the inner surface, not a fragment of wax that is added, but corresponds with mathematical precision to a protuberance or cavity on the outer surface, and vice versa. How does this happen? How is it that one does not dig too deep, another not deep enough? Whence the invariable magical coincidence between the angles of the lozenges? What is it tells the bees that at this point they must begin, and at that point stop? Once again we must content ourselves with the reply, that is no reply: "It is a mystery of the hive."

Huber has sought to explain this mystery by suggesting that the pressure of the bees' hooks and teeth may possibly produce slight projections, at regular intervals, on the opposite side of the comb; or that they may be able to estimate the thickness of the block by the flexibility, elasticity, or some other physical quality of the wax; or again, that their antennae, which seem so well adapted for the questioning of the finer, less evident side of things, may serve as a compa.s.s in the invisible; or, lastly, that the position of every cell may derive mathematically from the arrangement and dimensions of the cells on the first row, and thus dispense with the need for further measurement. But these explanations are evidently insufficient; the first are mere hypotheses that cannot be verified, the others do no more than transplant the mystery. And useful as it may be to transplant mystery as often as we possibly can, it were not wise to imagine that a mystery has ceased to be because we have shifted its home.

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Now let us leave these dreary building grounds, this geometrical desert of cells. The combs have been started, and are becoming habitable. Though it be here the infinitely little that, without apparent hope, adds itself to the infinitely little; though our eye with its limited vision look and see nothing, the work of wax, halting neither by day nor by night, will advance with incredible quickness. The impatient queen already has more than once paced the stockades that gleam white in the darkness; and no sooner is the first row of dwellings complete than she takes possession with her escort of counsellors, guardians, or servants--for we know not whether she lead or be led, be venerated or supervised. When the spot has been reached that she, or her urgent advisers, may regard as favourable, she arches her back, bends forward, and introduces the extremity of her long spindle-shaped abdomen into one of the cells; the-little eager heads of her escort meanwhile forming a pa.s.sionate circle around her, watching her with their enormous black eyes, supporting her, caressing her wings, and waving their feverish antennae as though to encourage, incite, or congratulate. You may easily discover the spot where the queen shall be found by the sort of starry c.o.c.kade, or oval brooch perhaps of the imposing kind our grandmothers used to wear, of which she forms the central stone. And one may mention here the curious fact that the workers always avoid turning their back on the queen. No sooner has she approached a group than they will invariably arrange themselves so as to face her with eyes and antennae, and to walk backwards before her. It is a token of respect, or of solicitude, that, unlikely as it may seem, is nevertheless constant and general. But to return to the queen.

During the slight spasm that visibly accompanies the emission of an egg, one of her daughters will often throw her arms round her and appear to be whispering to her, brow pressed to brow and mouth to mouth. But the queen, in no wise disturbed by this somewhat bold demonstration, takes her time, tranquilly, calmly, wholly absorbed by the mission that would seem amorous delight to her rather than labour. And after some seconds she will rise, very quietly, take a step back, execute a slight turn on herself, and proceed to the next cell, into which she will first, before introducing her abdomen, dip her head to make sure that all is in order and that she is not laying twice in the same cell; and in the meanwhile two or three of her escort will have plunged into the cell she has quitted to see whether the work be duly accomplished, and to care for, and tenderly house, the little bluish egg she has laid.

From this moment, up to the first frosts of autumn, she does not cease laying; she lays while she is being fed, and even in her sleep, if indeed she sleeps at all, she still lays. She represents henceforth the devouring force of the future, which invades every corner of the kingdom. Step by step she pursues the unfortunate workers who are exhaustedly, feverishly erecting the cradles her fecundity demands. We have here the union of two mighty instincts; and their workings throw into light, though they leave unresolved, many an enigma of the hive.

It will happen, for instance, that the workers will distance her, and acquire a certain start; whereupon, mindful of their duties as careful housewives to provide for the bad days ahead, they hasten to fill with honey the cells they have wrested from the avidity of the species. But the queen approaches; material wealth must give way to the scheme of nature; and the distracted workers are compelled with all speed to remove the importunate treasure.

But a.s.sume them to be a whole comb ahead, and to have no longer before them her who stands for the tyranny of days they shall none of them see; we find then that they eagerly, hurriedly, build a zone of large cells, cells for males; whose construction is very much easier, and far more rapid. When the queen in her turn attains this unthankful zone, she will regretfully lay a few eggs there, then cease, pa.s.s beyond, and clamour for more workers' cells. Her daughters obey; little by little they reduce the cells; and then the pursuit starts afresh, till at last the insatiable mother shall have traversed the whole circ.u.mference of the hive, and have returned to the first cells. These, by this time, will be empty; for the first generation will have sprung into life, soon to go forth, from their shadowy corner of birth, disperse over the neighbouring blossoms, people the rays of the sun and quicken the smiling hours; and then sacrifice themselves in their turn to the new generations that are already filling their place in the cradles.

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And whom does the queen-bee obey? She is ruled by nourishment given her; for she does not take her own food, but is fed like a child by the very workers whom her fecundity hara.s.ses. And the food these workers deal out is nicely proportioned to the abundance of flowers, to the spoil brought back by those who visit the calyces. Here, then, as everywhere else in the world, one part of the circle is wrapped in darkness; here, as everywhere, it is from without, from an unknown power, that the supreme order issues; and the bees, like ourselves, obey the nameless lord of the wheel that incessantly turns on itself, and crushes the wills that have set it in motion.

Some little time back, I conducted a friend to one of my hives of gla.s.s, and showed him the movements of this wheel, which was as readily perceptible as the great wheel of a clock; showed him, in all its bareness, the universal agitation on every comb, the perpetual, frantic, bewildered haste of the nurses around the brood-cells; the living gangways and ladders formed by the makers of wax, the abounding, unceasing activity of the entire population, and their pitiless, useless effort; the ardent, feverish coming and going of all, the general absence of sleep save in the cradles alone, around which continuous labour kept watch; the denial of even the repose of death in a home which permits no illness and accords no grave; and my friend, his astonishment over, soon turned his eyes away, and in them I could read the signs of I know not what saddened fear.

And truly, underlying the gladness that we note first of all in the hive, underlying the dazzling memories of beautiful days that render it the storehouse of summer's most precious jewels, underlying the blissful journeys that knit it so close to the flowers and to running water, to the sky, to the peaceful abundance of all that makes for beauty and happiness--underlying all these exterior joys, there reposes a sadness as deep as the eye of man can behold. And we, who dimly gaze on these things with our own blind eyes, we know full well that it is not they alone that we are striving to see, not they alone that we cannot understand, but that before us there lies a pitiable form of the great power that quickens us also.

Sad let it be, as all things in nature are sad, when our eyes rest too closely upon them. And thus it ever shall be so long as we know not her secret, know not even whether secret truly there be. And should we discover some day that there is no secret, or that the secret is monstrous, other duties will then arise that, as yet, perhaps, have no name. Let our heart, if it will, in the meanwhile repeat, "It is sad;" but let our reason be content to add, "Thus it is." At the present hour the duty before us is to seek out that which perhaps may be hiding behind these sorrows; and, urged on by this endeavour, we must not turn our eyes away, but steadily, fixedly, watch these sorrows and study them, with a courage and interest as keen as though they were joys. It is right that before we judge nature, before we complain, we should at least ask every question that we can possibly ask.

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We have seen that the workers, when free for the moment from the threatening fecundity of the queen, hasten to erect cells for provisions, whose construction is more economical and capacity greater. We have seen, too, that the queen prefers to lay in the smaller cells, for which she is incessantly clamouring. When these are wanting, however, or till they be provided, she resigns herself to laying her eggs in the large cells she finds on her road.

These eggs, though absolutely identical with those from which workers are hatched, will give birth to males, or drones. Now, conversely to what takes place when a worker is turned into queen, it is here neither the form nor the capacity of the cell that produces this change; for from an egg laid in a large cell and afterwards transferred to that of a worker (a most difficult operation, because of the microscopic minuteness and extreme fragility of the egg, but one that I have four or five times successfully accomplished) there will issue an undeniable male, though more or less atrophied. It follows, therefore, that the queen must possess the power, while laying, of knowing or determining the s.e.x of the egg, and of adapting it to the cell over which she is bending. She will rarely make a mistake. How does she contrive, from among the myriad eggs her ovaries contain, to separate male from female, and lower them, at will, into the unique oviduct?

Here, yet again, there confronts us an enigma of the hive; and in this case one of the most unfathomable. We know that the virgin queen is not sterile; but the eggs that she lays will produce only males. It is not till after the impregnation of the nuptial flight that she can produce workers or drones at will. The nuptial flight places her permanently in possession, till death, of the spermatozoa torn from her unfortunate lover. These spermatozoa, whose number Dr.

Leuckart estimates at twenty-five millions, are preserved alive in a special gland known as the spermatheca, that is situate under the ovaries, at the entrance to the common oviduct. It is imagined that the narrow aperture of the smaller cells, and the manner in which the form of this aperture compels the queen to bend forward, exercise a certain pressure upon the spermatheca, in consequence of which the spermatozoa spring forth and fecundate the egg as it pa.s.ses. In the large cells this pressure would not take place, and the spermatheca would therefore not open. Others, again, believe that the queen has perfect control over the muscles that open and close the spermatheca on the v.a.g.i.n.a; and these muscles are certainly very numerous, complex, and powerful. For myself, I incline to the second of these hypotheses, though I do not for a moment pretend to decide which is the more correct; for indeed, the further we go and the more closely we study, the more plainly is it brought home to us that we merely are waifs shipwrecked on the ocean of nature; and ever and anon, from a sudden wave that shall be more transparent than others, there leaps forth a fact that in an instant confounds all we imagined we knew. But the reason of my preferring the second theory is that, for one thing, the experiments of a Bordeaux bee-keeper, M. Drory, have shown that in cases where all the large cells have been removed from the hive, the mother will not hesitate, when the moment for laying male eggs has come, to deposit these in workers' cells; and that, inversely, she will lay workers' eggs in cells provided for males, if she have no others at her disposal.

And, further, we learn from the interesting observations of M. Fabre on the Osmiae, which are wild and olitary bees of the Gastrilegidae family, that not only does the Osmia know in advance the s.e.x of the egg she will lay, but that this s.e.x is "optional for the mother, who decides it in accordance with the s.p.a.ce of which she disposes; this s.p.a.ce being often governed by chance and not to be modified; and she will deposit a male egg here and a female there." I shall not enter into the details of the great French entomologist's experiments, for they are exceedingly minute, and would take us too far. But whichever be the hypothesis we prefer to accept, either will serve to explain the queen's inclination to lay her eggs in workers'