A rectangle with these proportions maintains a constant aspect ratio when folded in half perpendicular to the long axis and rotated 90 degrees.
In resonable parts of the world this is the ratio used for paper. For example, A4 paper.


Foldable Constant Rectangle Aspect Ratio = SQRT(2) = 1.414213562373
Video screen Aspect Ratio = 4/3 = 1.333... (Example: 640/480=1.333...)
Given a width of 640 pixels,
Video screen height = 640 / (4/3) = 480
Foldable Constant Rectangle height = 640 / SQRT(2) = 452.54833995939
Difference in height is (640 / (4/3)) - (640 / SQRT(2)) = 27.45166004061 or
approximately 27 pixels
These links discuss another interesting constant, The Golden Ratio, φ.
Steve Finch
Mathsoft
Golden Mean Constant
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