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We start by stretching the Euclidian line subdivision,
with 61.8% black and 38.2% black, to form squares. If the layer with 38.2%
black is put on top of an identical layer with 38.2% black lines (twisted
over 90° here for sake of clarity), the golden section property implies
that the result is again the first 61.8% black layer. This set-up is
applied for a rotating disk, covered for 50% with a layer with 61.8%
transparent pixels and for another 50% of a double layer, thus containing
only 38.2% transparent pixels. Since ½.61.8% + ½.38.2% = 50%, the result
will be a 50% gray. Here, a 50% gray is supposed to contain exactly 50%
black and 50% white pixels, but for more technical considerations about
gray, “pixels”, and colors on rotating disks, we refer to Huylebrouck
(2000-2002). |
