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The geometrical design of the "Sacred Cut"
The inner square relates to the external
square
according to the the Classical proportion of the "Sacred Cut" 1:√2
The length of a quarter circle (AB)
is: (√2π)/4 and the circumference of the entire circle is: √2π ≈ 4,442 882
The length of the diagonal of half the square (CD)
is: √5/2 and the circumference of the new square is 2√5 ≈ 4,472 135
Deviation between both circumferences is 0,66%
The number of geometrical
constructions within this pattern are infinite and all relate to each
other as 1:√2.
Within this diagram you will find the "doubled square" (ABCD
becomes AEFG
thanks to diagonal AC).
The same √2 proportion is also found in the four small rectangles
HIJD