Saturday, August 30, 2008

Engineered Spirituality


The Endless Knot, is a Tibet Buddhist Motif, and one the "Eight Auspicious Signs"

It Symbolizes "Interplay and interaction of the opposing forces in the dualistic world of manifestation, leading to their union, and ultimately to harmony in the universe."

I found this interesting though, it's an explanation on how to draw an Endless Knot with Engineering Nomenclature and specificity. Ancient Traditional Symbolism, through mathematical Distillation:

Drawing an endless knot:
Plot the vertices A, B, C, D of square ABCD. Plot E, the midpoint of line segment AB. Plot F, the midpoint of line segment BC. Plot G, the midpoint of line segment CD. Plot H, the midpoint of line segment DA. Plot I, the midpoint of segment AE. Plot J, the midpoint of EB. Plot K, the midpoint of BF. Plot L, the midpoint of FC. Plot M, the midpoint of CG. Plot N, the midpoint of GD. Plot O, the midpoint of DH. Plot P, the midpoint of HA. Draw line segment AI. Draw line segment IN but with leaving a gap in its middle. Draw line segment NG. Draw line segment GE but leaving a pair of gaps at 1/4 and 3/4 of the way between G and E. Draw line segment EJ. Draw line segment JM but leaving a gap in its middle. Draw line segment MC. Draw line segment CL. Draw line segment LO but leaving a pair of gaps at 1/4 and 3/4 of the way between L and O. Draw line segment OH. Draw line segment HF but leaving a gap in its middle. Draw line segment FK. Draw line segment KP but leaving a pair of gaps at 1/4 and 3/4 of the way between K and P. Draw line segment PA. Erase points D and B, and the drawing is done.

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