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The geometric structure of route three Islamic tiling patterns is based on 60 degree angular relationships and their multiples, is like


the angular relationship between the walls of the breathing chambers of the embryonic lungs (alveolae) is also in multiples of 60 degrees.


Breathing chamber walls over Islamic tesselation: The average of the angles around any point on a plane in Islamic route three mathematical tesselations, in the structure of embryonic breathing chambers, in surface ice, is 120 degrees (60 degree angular relations).


Soap bubbles blown between sheets of glass: Constrained to a two dimensional plane, the bubbles demonstrate 60 degree angular orientation.


Regular hexagonal polygons which completely fill a two dimensional field: All sides are of the same length and are continuous with each other. All angles are 120 degrees. Of the three regular polygons that can cover a plane without leaving any open regions, the equilateral triangle, the square and the regular hexagon, the hexagon encloses the most space for a given perimeter.


Regular hexagons over soap bubble chamber walls over alveolar chamber walls over 60 degree geometric tiling schema.
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