Mapping the 6th dimension

The I Ching mandala is a 3-dimensional representation or a map of the 6-dimensional hypercube, the vertices of which are described by the set of 64 hexagrams. These 64 unique points of 6-dimensional space, identified algebraically by the 64 hexagrams, are mapped to 27 unique points of 3-dimensional space in a very particular manner, creating thereby what can best be described as a mandalic geometry, a special form of geometry characterized by an extraordinarily high degree of symmetry.

Eight hexagrams are mapped, one each, to the eight vertices of the 3-dimensional cube. Twenty-four hexagrams are mapped to the twelve edge centers of the cube, two hexagrams to each. Twenty-four hexagrams are mapped to the six face centers of the cube, four hexagrams to each. Eight hexagrams are mapped to the single cube center.

The precise manner in which this particular mapping of the hexagrams is accomplished is determined by specific operators and by a specific method still to be described.

© 2012 Martin Hauser