Tag: Symmetry

Fearful Symmetry

The Persian Wars led to the formation of classic Athenian-dominated Greece. That was their defining moment. Persia was the yin to Greece’s yang. Both as a challenge and as a contrast, it gave shape to public life. To some extent the tradition of Aeschylus, Sophocles, and Euripides, of Herod...

The Beauty of Symmetry

Okay, sounds like it had nothing to do with symmetry. And compared to some attractive articles that illustrate the beauty of symmetry through the celebrity faces, it did seem a bit pedantic and not intuitive enough. But just like no one would hide treasures on the surface of Earth, the mystery of sy...

Forbidden Symmetry: Unveiling the Interconnections of Quasicrystals, Islamic Patterns, and Generative Art

This research paper explores the profound yet often overlooked connections between quasicrystals, Islamic patterns, and generative art. In nature and culture, the quest for pattern discovery has invariably led to some striking commonalities, embodying a compelling narrative of the interplay between ...

A View of Symmetry in Probability

A probability distribution is an assignment of probabilities to possible occurrences (often represented by discrete or continuous random variables). A symmetric probability distribution has the property where occurrences “equidistant” from some value, represented...

The Elegant Symmetry of Inverting Sums

The first time I saw this, I was hooked! You can’t “unsee” it and you don’t want to forget it because the fact that it is true is so amazing. This is just the start of a more general theory in mathematics that I will briefly touch upon at the end of the article. Not only i...