How to Divide by "Zero"

The video explores modular arithmetic, focusing on equivalence relations and quotient sets. It explains how integers can be grouped based on their remainders when divided by a number, using mod 5 as an example. The video discusses the properties of equivalence relations and how arithmetic can be performed on equivalence classes. It introduces quotient sets and touches on group theory. The video also presents a challenge involving metallic ratios and discusses viewer engagement and fun facts about ratios.

Discuss the relationship between modular arithmetic and rotational symmetries.

How does the concept of equivalence classes extend beyond integers?

What challenges arise when trying to prove the existence of metallic ratios in polygons?

In what ways can the search space for metallic ratios be narrowed?