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Front page > Geometry based on Silver Ratio and Golden Ratio > Complementary Relationship between the Golden Ratio and the Silver Ratio in the Three-Dimensional Space
Geometry based on Silver Ratio and Golden Ratio

Complementary Relationship between the Golden Ratio and the Silver Ratio in the Three-Dimensional Space

Hexakis Icosahedron derived from S. T. (top view)

The Golden Ratio  1 : \frac{1 + \sqrt{5}}{2}  and the Silver Ratio 1 \sqrt{2}  serve as the fundamental ratio in the shape of objects and they have so far been considered independent of each other. However, the author has found out, through application of the “Golden Transformation” of rhombic dodecahedron and the “Silver Transformation” of rhombic triacontahedron, that these two ratios are closely related and complementary to each other in the 3-demensional space.

For more details, please refer to the PDF files below.

Complementary Relationship between the Golden Ratio and the Silver Ratio

Table 1 Compatative table_golden ratio & silver Ratio

8 Responses to “Complementary Relationship between the Golden Ratio and the Silver Ratio in the Three-Dimensional Space”

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