mind manipulation technologies,9 and some ancient temples from classical times also appear to have been deliberately engineered to be in resonance with certain frequencies of the human brain.10 It is, oddly enough, point 9)b)ii) above — the use of musical codes in the Platonic and Pythagorean traditions — rather than the quantum mechanical and astronomical encoding, that points directly to the next necessary stage in our speculative case that pyramidal structures are hyper-dimensional machines, designed to manipulate the medium itself, in all its effects, including consciousness. In this respect, let us recall something stated in chapter nine: It is important to note what this notation means, for cubing and squaring a number — e.g. x3 and x2 — are, of course, geometricalfunctions describing objects in two or three spatial dimensions. Thus, the notation {2,5} mentioned above could be written this way more abstractly as {x, y}, and since the first number is multiplied by the cubic power of 60, and the second by the squared power of 60, the notation really would look like this:
We can therefore imagine extending this notation to {x,y,z}, and extending the powers of 60 with which each number is multiplied, e.g. in other words, notations such as {8,0,0}, which are also within the realm of possibility in ancient Mesopotamian notation, conceivably may be understood as representing powers of 60 greater than the cubic, that is to say, as geometric and numerical representations of objects in four or more dimensions. To state it as succinctly as possible, the very structure of ancient Mesopotamian numerical notation implies a basic familiarity with hyperdimensional geometries and the basic mathematical techniques for describing objects in four or more spatial dimensions. Indeed, as we shall discover in chapter 13, the exact same notation convention began to be used in nineteenth century geometrical techniques for describing objects in four or more dimensions! This contains a further, and very suggestive, implication, for it is to be noted that the Sumerian-Babylonian gods may be described by such notation. In other