Yet Theodorus the Solian, said I, when he reads Plato’s mathematics to his scholars, both keeps to the text and clearly expounds it, when he saith, the pyramid, octahedron, dodecahedron. icosahedron (which Plato lays down as the first bodies) are all beautiful both in their proportions and equalities; Nature cannot contrive and make better than these, nor perhaps so good. Yet they have not all the same constitution and origin; for the least and slightest of the five is the pyramid; the greatest, which has most parts, is the dodecahedron; and of the other two, the icosahedron is greater than the octahedron by more than twofold, if you compare their number of triangles. And therefore it is impossible they should be all made at once, of one and the same matter; for the smallest and most subtile have been certainly more pliable to the hand of the workman who moved and fashioned the matter, and consequently were sooner made and shaped, than those which have stronger parts and a greater mass of bodies, and whose composition was more laborious and difficult, like the dodecahedron. Whence it follows that the pyramid was the first body, and not one of the others, which were by nature last produced. Now the way also to avoid this absurdity is to separate and divide matter into five worlds; here the pyramid (for she is the first and most simple), there the octahedron, and there the icosahedron; and out of that which exists first in every one of these the rest draw their original by the concretion of parts, by which every thing is changed into every thing, as Plato himself shows us by examples throughout. But it will suffice us briefly to learn thus much. Air is engendered by the extinction of fire, and the same being subtilized and rarefied produceth fire. Now by the seeds of these two we may find out the passions and transmutations of all. The seminary or beginning of fire is the pyramid, consisting of twenty-four first triangles; and the octahedron is the seminary of the air, consisting of forty-eight triangles of the same kind. So that the one element of air stands upon two of fire, joined together and condensed. And again, one body or element of air is divided into two of fire, which again, becoming thick and hard, is changed into water; so that, throughout, that which comes first into light gives easily birth unto the rest by transmutation. And so it comes to pass, that there is not merely one first principle of all things; but one thing is so mixed with the origin of another, in the several changes and alterations of nature by motion, that the same name and denomination belong equally to all.