Chapter

The Fundamental Group of Symmetries
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2:13:06 - 2:18:30 (05:23)

This episode explores the idea of the fundamental group of symmetries before Einstein and after, making connections with computer science and physics.

Clips
The number of symmetries in shapes depend on their ability to be flipped or rotated, and can often be combined to create new symmetries.
2:13:06 - 2:14:07 (01:01)
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Symmetry
Summary

The number of symmetries in shapes depend on their ability to be flipped or rotated, and can often be combined to create new symmetries.

Chapter
The Fundamental Group of Symmetries
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast
This episode discusses how symmetries play an important role in computer science, particularly in sorting and infinite groups.
2:14:07 - 2:15:28 (01:21)
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computer science, sorting, infinite groups
Summary

This episode discusses how symmetries play an important role in computer science, particularly in sorting and infinite groups.

Chapter
The Fundamental Group of Symmetries
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast
The idea of symmetry groups has been a useful concept in physics to understand the fundamental group of symmetries that explain bizarre relativistic phenomena.
2:15:29 - 2:18:30 (03:00)
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Gauge Theory
Summary

The idea of symmetry groups has been a useful concept in physics to understand the fundamental group of symmetries that explain bizarre relativistic phenomena. However, the concept of gauge symmetry remains one of the more complicated types of symmetries.

Chapter
The Fundamental Group of Symmetries
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast