Perfections of symmetry ratios from "summary" of The Golden Ratio And Fibonacci Numbers by Richard A Dunlap

Symmetry in nature and art is pleasing to the eye. It is usually in the form of balanced proportions, which give a sense of beauty, intuition, and harmony. Perfection can be found by studying symmetry ratios that are present amongst all of these aspects.

If one would look closely at proportions within the framework of nature and mathematics, certain patterns start to emerge. These specific mathematics were used to create some of the world’s finest works of art. Artists made sure to keep a close eye on the prevailing Algebraic concepts of Perfections and Ratios.

When talking of perfections of symmetry ratios, there are many possible comparisons; for example the Golden Number v/s the Silver Ratio, or perhaps the Golden Circle v/s the Euclidean shape of the square. As each comparison has different characteristics, a detailed understanding leads to insightful conclusions.

In order to understand the essence of balanced proportions, it is important to study the concept of the golden ratio and its relationship with Fibonacci numbers. The golden ratio is one of the most sought-after perfection principles since ancient times.

The golden ratio exhibits an admirable balance between simplicity and complexity. It contains two symmetrical details: first the two unequal elements, and secondly, the Figurate Numbers expressed by the Fibonacci sequence.

It cannot be denied that components of harmony play a pivotal role in a wide range of spheres, such as architecture, design, music, painting, etc. A lot can be learnt from analysing cases where the laws of symmetry are violated, and then later measuring them against those which abide by the notion of perfect harmony or perfection of ratios.