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Index Entry
These are little corners on the cube superimposed on the vector equilibrium and it gets chopped up into these little small components. I calculated the volume of each one of these components and found that each one of them came out in whole numbers in respect to tetrahedra. They were fractions, it is true, but if I used the A or B Modules as unity, one-twentyfourth of a tetrahedron, these have very interesting numbers like seven and thirteen-- but all whole numbers. We are now getting to a very interesting kind of fractionation of nature. Everything is coming out in beautiful whole numbers, in simple integers up to 20, and it is coming apart in very much the same kinds of numbers we get in the chemistry.
I made many other subdivisions of octahedra and so forth, and found the components always coming apart, as long as there is any cutting on the axes of symmetry, any of the ways in which nature could chop herself up with various extensions of planes, and they always come apart in whole rational numbers.
