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Sacred Geometry of Gothic cathedrals
Divine Proportion, also known as the golden ratio, was one of the most important and widely used geometric formulas used in the construction of Gothic cathedrals.
Golden section - it is proportional to the length of the division into unequal parts, in which the smaller segment as relates to the larger, the larger everything. Approximate value of the golden ratio is 1, 618 ... and is denoted by the Greek letter φ.
An example of the use of divine proportions in the outer architecture is the western facade of the cathedral of Notre Dame.
One application of divine proportions shown in the figure below, where the pentagonal shape superimposed on a vertical section of the Cologne cathedral type, where the width of the nave and columns defined interrelated pentagrams and circles (see. Figure 1).
Two figures of the drawing (see. Figure 2) show how the golden ratio can be applied to standard floor plans Gothic church as pentagonal and decimal. Any such division of the control range for 5, 10 or 20 pieces introduces elements of proportion "golden section».
Divine Proportion its fullest expression found in the round window-outlet. Rose of France in the northern transept of the cathedral at Chartres is an excellent example of a typical Gothic spirit merging organics and geometry. As with all windows, sockets, North Rose includes complex geometric matrix, which implies the presence of a large number of numerical relationships and proportions. The intersection points of the squares and circles indicate the interdependence further defined "Fibonacci series" - proportion, named for the mathematician of the thirteenth century. Based on the arithmetic progression in which each element is the sum of the previous two (1-1-2-3-5-8-13-21 etc. D.).
"Fibonacci series" can be associated with many structures flora. Allocated in the "Fibonacci series", and in the golden section pentagonal symmetry also determines the growth pattern of many colors, including orchids, daisies and, of course, roses. In the stone-glass windows of every web-outlet hidden remarkable patterns of sacred geometry.
Golden section - it is proportional to the length of the division into unequal parts, in which the smaller segment as relates to the larger, the larger everything. Approximate value of the golden ratio is 1, 618 ... and is denoted by the Greek letter φ.
An example of the use of divine proportions in the outer architecture is the western facade of the cathedral of Notre Dame.
One application of divine proportions shown in the figure below, where the pentagonal shape superimposed on a vertical section of the Cologne cathedral type, where the width of the nave and columns defined interrelated pentagrams and circles (see. Figure 1).
Two figures of the drawing (see. Figure 2) show how the golden ratio can be applied to standard floor plans Gothic church as pentagonal and decimal. Any such division of the control range for 5, 10 or 20 pieces introduces elements of proportion "golden section».
Divine Proportion its fullest expression found in the round window-outlet. Rose of France in the northern transept of the cathedral at Chartres is an excellent example of a typical Gothic spirit merging organics and geometry. As with all windows, sockets, North Rose includes complex geometric matrix, which implies the presence of a large number of numerical relationships and proportions. The intersection points of the squares and circles indicate the interdependence further defined "Fibonacci series" - proportion, named for the mathematician of the thirteenth century. Based on the arithmetic progression in which each element is the sum of the previous two (1-1-2-3-5-8-13-21 etc. D.).
"Fibonacci series" can be associated with many structures flora. Allocated in the "Fibonacci series", and in the golden section pentagonal symmetry also determines the growth pattern of many colors, including orchids, daisies and, of course, roses. In the stone-glass windows of every web-outlet hidden remarkable patterns of sacred geometry.
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