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of funnels with the linking atom (_a_ and _b_), as in carbon, the four bodies marked _c_, the twelve marked _d_, and the central globe marked e. The latter breaks up again, setting free its five intersecting cigar-bearing tetrahedra, which follow their usual course (see Occultum, p. 44). The eight-atomed body in the centre makes a ring of seven atoms round a central one, like that in occultum (see p. 44, diagram B), from which it only differs in having the central atom, and breaks up similarly, setting the central atom free. The ovoid _c_ sets free its four contained globes, and the ovoid _d_ sets free the three within it. Thus sixty-one proto elements are yielded by titanium. On the meta level, _c_ (titanium 3) breaks up into star-like and cruciform bodies; the component parts of these are easily followed; on the hyper level, of the four forms of triplets one behaves as in carbon, and the others are shown, _a_, _b_ and _f_; the cruciform quintet yields a triplet and a duad, _c_ and _d_; the tetrahedra yield two triplets _g_ and _h_, and two units; the septet, a triplet _k_ and a quartet _j_. On the meta level, the bodies from _d_ behave like their equivalents in sodium, each _d_ shows two quartets and a sextet, breaking up, on the hyper level, into four duads and two triads. ZIRCONIUM (Plate XV, 2, 5). Zirconium reproduces in its _c_ the four forms that we have already followed in the corresponding _c_ of titanium, and as these are set free on the proto level, and follow the same course on the meta and hyper levels, we need not repeat them. The central globe of zirconium _c_ sets free its nine contained bodies; eight of these are similar and are figured in the diagram; it will be observed that the central body is the truncated "cigar" of carbon; their behaviour on the meta and hyper levels is easily followed there. The central sphere is also figured; the cigar follows its usual course, and its companions unite into a sextet and an octet. The _d_ ovoid liberates five bodies, four of which we have already seen in titanium, as the crosses and sextet of sodium, and which are figured under titanium; the four quartets within the larger globe also follow a sodium model, and are given again. SILICON (Plate XVI, 1). [Illustration] In silicon, the ovoids are set free from the funnels on the proto level, and the truncated "cigar," playing the part of a leaf, is also liberated. This, and the four "cigars," which escape f
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