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Page 43
And when I looked at the corners of the dodecahedron, I could see that each corner seemed to be marked as... Let me describe it differently. I had to place a tetrahedron on each corner of the dodecahedron — not inward into the matrix, but outward. So I built tetrahedrons extending outward from every vertex of the dodecahedron, and it turned into a kind of star, a kind of spiked form like a hedgehog. But that was just at the vertices. And once I did that, I understood how to correctly insert the icosahedron. There must be many icosahedrons, and I have to insert one on each face of the dodecahedron. And the icosahedron, too, can be inserted in two ways: with its larger part inward and the smaller part outward, or the reverse — with the smaller part inside and the larger outside. Naturally, it became clear that since I had already placed tetrahedrons on every vertex of the dodecahedron, then obviously I had to place icosahedrons on each face of the dodecahedron with their larger parts facing outward. And when I did that, the result was an even more perfect sphere, the one that’s supposed to be made of triangles, though I haven’t fully closed it yet, and some lines still need to be completed. But here’s the curious part: when I placed the icosahedrons on the faces of the dodecahedron, another one formed in the center, inside the dodecahedron.