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There is a theory, originally propounded by Buffon and now revived, which assumes 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 space 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 space within a given space; wherefore it follows that the reciprocal compression compels them all to become hexagonal. Similarly each bee seeks to occupy the utmost possible space within a given space, 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 mass. 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 circumstances, 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 circumference 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 space 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 principal 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 pass 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 passing 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 assurance, 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 passions that we study the most eagerly and the most passionately.