Ipsissimus
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- 23 јули 2010
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The geometric proportions of the regular pentagram are those of the Golden Section.
* The Golden Proportion is one beloved of artists since Renaissance
times, being those of a rectangle considered most pleasing in
proportion. Here, the ratio of the lengths of the two sides is
equal to the ratio of the longer side to the sum of the two sides.
Or : a/b = b/a+b = a+b/a+2b = a+2b/2a+3b = 2a+3b/3a+5b ....etc.
* If a square is added to the long side of a golden rectangle, a
larger golden rectangle is formed. Continuing this progression
forms the basis for a nautilus spiral.
* The ratio of the distance between two points of a pentagram to its
total width is in the golden proportion, as is the ratio of the
height above the horizontal bar to that below, as is the ratio of
a central part of a line to the outer part.
* This ratio forms the foundation of the Fibonacci series of numbers
1,1,2,3,5,8,13,21,34,55,89,144, etc where each number is formed by
adding the previous two numbers.
* The Golden Proportion is one beloved of artists since Renaissance
times, being those of a rectangle considered most pleasing in
proportion. Here, the ratio of the lengths of the two sides is
equal to the ratio of the longer side to the sum of the two sides.
Or : a/b = b/a+b = a+b/a+2b = a+2b/2a+3b = 2a+3b/3a+5b ....etc.
* If a square is added to the long side of a golden rectangle, a
larger golden rectangle is formed. Continuing this progression
forms the basis for a nautilus spiral.
* The ratio of the distance between two points of a pentagram to its
total width is in the golden proportion, as is the ratio of the
height above the horizontal bar to that below, as is the ratio of
a central part of a line to the outer part.
* This ratio forms the foundation of the Fibonacci series of numbers
1,1,2,3,5,8,13,21,34,55,89,144, etc where each number is formed by
adding the previous two numbers.