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Roger Penrose - Forbidden Crystal Symmetry in Mathematics and Architecture

The Royal Institution via YouTube

Overview

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This course explores the concept of "forbidden crystal symmetry" in mathematics and architecture, focusing on non-repeating patterns and the use of unique symmetries in design. The learning outcomes include understanding the mathematical underpinnings of forbidden symmetries, recognizing the features and structures of these patterns, and exploring their applications in architectural design. The course teaches about crystallographic and geometric symmetry, the subtleties of non-periodic arrangements, and the historical and modern significance of forbidden symmetries. The teaching method involves a lecture format with visual examples and illustrations. The intended audience includes individuals interested in mathematics, architecture, design, and the intersection of art and science.

Syllabus

Intro
Crystallographic symmetry
Geometric symmetry
Why doesnt the theorem work
Features of the pattern
Structure of the pattern
Subtlety
Ancient Islamic art
Johannes Kepler
Kepler pentagons
Kepler
Tile shapes
Pentagons
kites and darts
non periodic arrangements
Rhombus pattern
Mauri pattern
Local assembly
PowerPoint images
Atomic arrangements
Japanese architect
Storyhole
The Science Centre
St Johns College
Helsinki
Stoneybrook Simon Center
Chemistry Department
Carleton University
Allahabad India
Transbay Transit Area
Park
Railway station
Wadham College
Pentagon
Rings
Rhombus
Floral arrangement
Latest progress
The Radcliffe Observatory

Taught by

The Royal Institution

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