Tessellations: Tiling the Plane

Tessellations are patterns made up of repeating shapes that completely cover a surface without overlapping or leaving any gaps. The individual shapes in a tessellation are called tiles or tessellating shapes. They can be regular or irregular polygons. In nature they are found in honeycombs or in the scales on a snake’s skin. They’re also commonly used in art and design, such as in Islamic geometric patterns or as a decorative element in tile work, fabrics, and wallpaper. M.C. Escher (Maurits Cornelis Escher, 1898-1972) is most famous for this design style. He was a Dutch graphic artist known for his mind-bending etches that incorporated elements of mathematics and geometry. His use of geometric patterns, symmetry, and perspective has inspired new ways of thinking about space, dimensionality, and the relationship between art and science. Of the contemporary tessellators I’ve searched for, my favorite has to…

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Deconstructing Ancient Art Through Geometry

While often overlooked, there is abundant evidence of the intentional use of geometry in the composition of traditional arts, crafts and architecture. This was often accomplished through the use of regular polygons -frequently concentric- to establish proportional systems within a composition. These associations can create a feeling of unity within the work by harmonizing its disparate elements of form, decoration and purpose. Polygonal composition also allowed the incorporation of number and shape symbolism associated with religion, mythology, culture and the organization of society, within a work of art.

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Cosmic Harmony of Music and Solarendocrinology

Harmonic Principles in Endocrinology Fabio Borziani solar endocrine planets glands

“The article discusses the concept of harmony in nature and how it has been studied throughout history. It focuses on Johannes Kepler‘s work on the “Harmony of the World,” which sought to find musical correlations between planets in our solar system. The article then explores how this idea can be applied to endocrinology, specifically by examining numerical ratios between molecular masses of hormones secreted by different glands and hormone receptors. The author suggests that this research methodology could be applied to other fields of scientific knowledge.” (summarized with Perplexity A.I.) via: Fabio Borziani “Since ancient times models have studied to describe the “Harmony of the World”. In the most diverse historical periods, research into the regularity between parameters of natural phenomena has undoubtedly been a key feature of doing science.

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