The Maths of Beauty and Symmetry

TL;DR

Symmetry is a universal concept found in art, design, mathematics, and nature, and its understanding has led to significant advancements in various fields.

Transcript

• Human beings love symmetry. It's everywhere in our art, and in our architecture, and design, and mathematics, I hope to show you today, is the language best used to describe that symmetry. I just want to begin with a couple of examples. The picture that's on the title slide here is a picture of a design that's in the Grand Mosque in Paris, and it... Read More

Key Insights

• 🥰 Symmetry is prevalent in various aspects of life, including art, architecture, and nature.
• 💅 The perception of beauty and virtue is often associated with symmetrical designs and patterns.
• 🥺 The concept of symmetry has led to advancements in mathematics, allowing for the classification and understanding of different shapes and patterns.

Questions & Answers

Q: Why do humans find symmetry appealing?

The perceptual bias view suggests that our brains find it easier to process and understand symmetrical designs. The evolutionary bias theory proposes that symmetry might indicate good physical health, making it an attractive trait for potential mates.

Q: What are some examples of symmetry in architecture?

The Taj Mahal exhibits bilateral symmetry with a vertical mirror line down the middle of the building. The Villa Rotunda in Italy has bilateral symmetry in its facades and a circular rotunda, adding an extra layer of symmetry.

Q: What are the four most beautiful shapes according to Plato's classification?

According to Plato's classification, the tetrahedron, octahedron, cube, and icosahedron are the four most beautiful and symmetric solids.

Q: Are the alleged Neolithic Platonic solids authentic?

Although some stone balls found in archeological digs have similar attributes to the Platonic solids, there is not enough evidence to support the claim that Neolithic people were aware of these shapes.

Summary & Key Takeaways

• Human beings have a natural affinity for symmetry, evident in art, architecture, and design.

• Symmetry is prominent in Islamic art and architecture due to the prohibition of representing living things.

• The concept of symmetry is linked to the perceptual bias view and the evolutionary bias theory.

• Symmetry has been associated with beauty, virtue, and divinity throughout history.