456. The tetrahedron is also only a mutilated nucleus. To the essence of a nucleus belong two tetrahedra, with their bases joined to each other.
457. The six-sided double-pyramid is a duplication of the hexahedron. The octahedric nuclei, are things intermediate between the three-and six-sided interruptions of the natural type, like quadrinumeral or tetrapetalous corollæ in flowers.
458. Columns originate only between the two tetrahedra, without doubt owing to deficiency in bulk.
459. If the three-sided double-pyramid be the primary form of crystals, so must the six-sided column with trilateral terminal pyramids be the ultimate form. The rhomboidal-dodecahedron is therefore the most perfect crystal. It is the most perfect representation of the globe in the angular form.
460. The crystal can not commence with the nucleus and then for the first time continue to grow or even change into the perfected crystal, because it becomes only crystal in the conflict of the linear and spherical action. As little as the sun can be produced without the planet, or vice versâ, so little can a nucleus subsist without what is called the external shell or crust. The nucleus is in fact determined by the shell of the crystal, namely by the polar axis. But inversely also the shell is determined by the nucleus, by the polar radii. A nucleus alone would be called a centre of a circle without circumference. Microscopic crystals therefore have at once the same perfected form as the largest in size. A crystal is an entire heavenly body; it is determined by central forces, which have, however, been roused and conducted by dualizing forces, forces of light. Everywhere do we meet with the same laws of the fixation of æther, upon a small as well as large scale.
461. Every solid matter and thus the Terrestrial generally, is crystallized upon a small as well as large scale. There cannot be an atom that were not crystallized, not arranged according to central and polar forces. Every crystal is therefore, and especially by reason of the infinity of the subordinate poles, crystallized again upon an infinitely small scale, or in other words it consists of infinitely numerous crystals. Every lamella or every particle of the lamella of a crystal consists again of crystals. These are what are called the integral parts, properly integral forms of the crystal. They are all probably hexahedra. The metals usually form but very small crystals, probably because the atoms are too heavy and cannot therefore be attracted from any distance.
462. Crystallography has been incorrectly made the principle of division in Mineralogy. A single character can never become a principle of division. If also it were actually true, that the form is always disposed according to the Interior, yet the form could never be the principle of division, but the Interior itself. The form is only the sign, but not the spirit, the essence of the mass.
D.—KINGDOMS OF NATURE.
INDIVIDUALS.