Tuesday, May 8, 2012

Progressing Toward a Spherical Model of Change

Yao-numbers depicted as radial vectors
Having determined a set of coordinates for each hexagram allows us to  generate 32 pairs of complementary vectors with which vector-analysis may be performed.  
The spherical model also enables us to derive insight from quantum mechanical systems by using the Bloch/Poincare model of the qubit as an entry-point.
The basis vectors in our model are hexagrams #1 and #2, found at the "poles" of our model; the remaining 31 pairs of  hexagram figures are said to derive from these.  Prior to performing an instance of divination, the answer to the posed question is like a superposition of the basis vectors, entailing 64 x 64 = 4,096 possible results.  Once the oracle is consulted, the superposition collapses to a single result.  

Future entries on this topic intend to determine the meridian lines in order to produce a model that fits the 64 hexagrams onto the unit sphere in a non-arbitrary fashion.  That is, the particular assignment of hexagrams to points on the surface of the sphere will be based a scheme that preserves the integrity of known relationships.

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