Half Planes (19951998)
This workphase (199597) is based on the 6D hypercube.
As indicated for the Laserglyphs (1991), this complex structure
has 32 diagonals from which 23040 "diagonalpaths" can be calculated
combinatorially.
A random selecton of two "diagonalpaths" from this alphabet of signs
provides the building blocks for each work in this workphase.
Both "diagonalpaths" are shown here as thick white lines.
A sixdimensional "diagonalpath" is built from six consecutive
connected vectors, each having a different but distinct direction.
Each direction represents one of the six mathematical dimensions.
All six vectors of one "diagonalpath" are matched with there
corresponding vector on the other "diagonalpath", resulting
in six vector pairs. Each vector pair is oriented to form a
nonintersecting planar quadrilateral, and then is completed visually
with thin lines. Thus, six rectangles are created, and together
with the two "diagonalpaths", describe a contour line,
resulting in the most surprising shapes.
The shapes of the b/w drawings and grey acrylic paintings permit the viewer to experience 6D space,
which is beyond mental representation, but nonetheless calculatable.
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