Giving way to the temptations of a latent anthropomorphism or zoomorphism, there were many schools of thought which saw various other oceanic formations as ‘sensory organs,’ even as ‘limbs,’ which was how experts like Maartens and Ekkonai classified Giese’s ‘vertebrids’ and ‘agilus’ for a time. Anyone who is rash enough to see protuberances that reach as far as two miles into the atmosphere as limbs, might just as well claim that earthquakes are the gymnastics of the Earth’s crust!
Three hundred chapters of Giese catalogue the standard formations which occur on the surface of the living ocean and which can be seen in dozens, even hundreds, in the course of any day. The symmetriads — to continue using the terminology and definitions of the Giese school — are the least ‘human’ formations, which is to say that they bear no resemblance whatsoever to anything on Earth. By the time, the symmetriads were being investigated, it was already clear that the ocean was not aggressive, and that its plasmatic eddies would not swallow any but the most foolhardy explorer (of course I am not including accidents resulting from mechanical failures). It is possible to fly in complete safety from one part to another of the cylindrical body of an extensor, or of the vertebrids, Jacob’s ladders oscillating among the clouds: the plasma retreats at the speed of sound in the planet’s atmosphere to make way for any foreign body. Deep funnels will open even beneath the surface of the ocean (at a prodigious expenditure of energy, calculated by Scriabin at around 10^19 ergs). Nevertheless the first venture into the interior of a symmetriad was undertaken with the utmost caution and discipline, and involved a host of what turned out to be unnecessary safety measures. Every schoolboy on Earth knows of these pioneers.
It is not their nightmare appearance that makes the gigantic symmetriad formations dangerous, but the total instability and capriciousness of their structure, in which even the laws of physics do not hold. The theory that the living ocean is endowed with intelligence has found its firmest adherents among those scientists who have ventured into their unpredictable depths.
The birth of a symmetriad comes like a sudden eruption. About an hour beforehand, an area of tens of square miles of ocean vitrifies and begins to shine. It remains fluid, and there is no alteration in the rhythm of the waves. Occasionally the phenomenon of vitrification occurs in the neighbourhood of the funnel left by an agilus. The gleaming sheath of the ocean heaves upwards to form a vast ball that reflects sky, sun, clouds and the entire horizon in a medley of changing, variegated images. Diffracted light creates a kaleidoscopic play of color.
The effects of light on a symmetriad are especially striking during the blue day and the red sunset. The planet appears to be giving birth to a twin that increases in volume from one moment to the next. The immense flaming globe has scarcely reached its maximum expansion above the ocean when it bursts at the summit and cracks vertically. It is not breaking up; this is the second phase, which goes under the clumsy name of the ‘floral calyx phase’ and lasts only a few seconds. The membranous arches soaring into the sky now fold inwards and merge to produce a thick-set trunk enclosing a scene of teeming activity. At the center of the trunk, which was explored for the first time by the seventy-man Hamalei expedition, a process of polycrystallization on a giant scale erects an axis commonly referred to as the ‘backbone,’ a term which I consider ill-chosen. The mind-bending architecture of this central pillar is held in place by vertical shafts of a gelatinous, almost liquid consistency, constantly gushing upwards out of wide crevasses. Meanwhile, the entire trunk is surrounded by a belt of snow foam, seething with great bubbles of gas, and the whole process is accompanied by a perpetual dull roar of sound. From the center towards the periphery, powerful buttresses spin out and are coated with streams of ductile matter rising out of the ocean depths Simultaneously the gelatinous geysers are converted into mobile columns that proceed to extrude tendrils that reach out in clusters towards points rigorously predetermined by the over-all dynamics of the entire structure: they call to mind the gills of an embryo, except that they are revolving at fantastic speed and ooze trickles of pinkish ‘blood’ and a dark green secretion.
The symmetriad now begins to display its most exotic characteristic — the property of ‘illustrating,’ sometimes contradicting, various laws of physics. (Bear in mind that no two symmetriads are alike, and that the geometry of each one is a unique ‘invention’ of the living ocean.) The interior of the symmetriad becomes a factory for the production of ‘monumental machines,’ as these constructs are sometimes called, although they resemble no machine which it is within the power of mankind to build: the designation is applied because all this activity has finite ends, and is therefore in some sense ‘mechanical.’
When the geysers of oceanic matter have solidified into pillars or into three-dimensional networks of galleries and passages, and the ‘membranes’ are set into an inextricable pattern of storeys, panels and vaults, the symmetriad justifies its name, for the entire structure is divided into two segments, each mirroring the other to the most infinitesimal detail.
After twenty or thirty minutes, when the axis may have tilted as much as eight to ten degrees from the horizontal, the giant begins slowly to subside. (Symmetriads vary in size, but as the base begins to submerge even the smallest reach a height of half a mile, and are visible from miles away.) At last, the structure stabilizes itself, and the partly submerged symmetriad ceases its activity. It is now possible to explore it in complete safety by making an entry near the summit, through one of the many syphons which emerge from the dome. The completed symmetriad represents a spatial analogue of some transcendental equation.
It is a commonplace that any equation can be expressed in the figurative language of non-Euclidean geometry and represented in three dimensions. This interpretation relates the symmetriad to Lobachevsky’s cones and Riemann’s negative curves, although its unimaginable complexity makes the relationship highly tenuous. The eventual form occupies an area of several cubic miles and extends far beyond our whole system of mathematics. In addition, this extension is four-dimensional, for the fundamental terms of the equations use a temporal symbolism expressed in the internal changes over a given period.
It would be only natural, clearly, to suppose that the symmetriad is a ‘computer’ of the living ocean, performing calculations for a purpose that we are not able to grasp. This was Fremont’s theory, now generally discounted. The hypothesis was a tempting one, but it proved impossible to sustain the concept that the living ocean examined problems of matter, the cosmos and existence through the medium of titanic eruptions, in which every particle had an indispensable function as a controlled element in an analytical system of infinite purity. In fact, numerous phenomena contradict this over-simplified (some say childishly naïve) concept.
Any number of attempts have been made to transpose and ‘illustrate’ the symmetriad, and Averian’s demonstration was particularly well received. Let us imagine, he said, an edifice dating from the great days of Babylon, but built of some living, sensitive substance with the capacity to evolve: the architectonics of this edifice pass through a series of phases, and we see it adopt the forms of a Greek, then of a Roman building. The columns sprout like branches and become narrower, the roof grows lighter, rises, curves, the arch describes an abrupt parabola then breaks down into an arrow shape: the Gothic is born, comes to maturity and gives way in time to new forms. Austerity of line gives way to a riot of exploding lines and shapes, and the Baroque runs wild. If the progression continues — and the successive mutations are to be seen as stages in the life of an evolving organism — we finally arrive at the architecture of the space age, and perhaps too at some understanding of the symmetriad.