Dynamic Symmetry the Greek Vase

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Arithmeti- cally, this ratio may be written 2. 236, or root-five, divided by 2, or 1. 118; to this ratio a square or unity is added, making 2. 118. This area may also be described as two squares, or 2 plus . 118. In the analysis of the vase it will be observed that this arrangement of two squares plus a small fraction was DYNAMIC SYMMETRY 93 Fig. 3. Red-figured Pelike G. R. ;- . Metropolitan Museum, New York.
actually used because the fraction . 118 expresses the area of the elevation of the fo
...ot; the area FE in the analysis being root-four or two squares.
Consider the rectangle 1. 309, divided as described, and without reference to the vase. Draw a rectangle of the whirling squares as in Fig. 4.
AR is the reciprocal of the shape. AC is a square in this reciprocal and a diagonal of this square cuts the diagonal of the whole at D, this being the point which determines the overlap of the whirling square rectangles, as in the analysis. See Fig. ;.
3 — I 7 / c \ B £ Fig. 4.
Fig. ;.
Fig.


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