The work phase
space.color is based on
the 6-dimensional hypercube.
This geometrically defined structure has 32 diagonals. The two endpoints of each diagonal lie diametrically opposite in the structure. A "diagonal-path" is the connection of two such diametric points through the network of edges of this complex structure. In a 6-dimensional hypercube, each of these 32 diagonals have 720 different "diagonal-paths".
For each work a random selection of four "diagonal-paths" from this repertoire of 23040 (32x720) possible paths is made and shown in its 2-D projection.
A 6-dimensional "diagonal-path" is built therefore from six consecutive connected vectors, each having a different but distinct direction. Each direction represents one of the six mathematical dimensions.
In space.color the four chosen "diagonal-paths" (thick lines) are ordered from 1 to 4 and the corresponding vectors are connected with thin lines. Thus vector pairs are created and together with the thin lines they form planar quadrilaterals, or color fields. (see illustration below) The two outer "diagonal-paths" (1 and 4) are connected in the same way but without thin lines, wrapping the image around the outside of the bounding rectangle.
The hypercube is rotated in 6-dimensional space and then projected into 2-dimensional space.The resulting image overlays the color fields from front to back. Together with the "diagonal-paths", the resulting image creates unimaginable constellations.
|Schematic construction of the image|