# Season 2

Infinite Series

The Assassin Puzzle

Can you save the target from his assassin in a square room with bouncy walls?

### The Assassin Puzzle

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Instant Insanity Puzzle

Can you stack four colored cubes so that each color only shows once on each side?

### Instant Insanity Puzzle

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Defining Infinity

Set theory is the foundation of all of mathematics. How does it handle infinity?

### Defining Infinity

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Unraveling DNA with Rational Tangles

When you think about math, what do you think of knots? Probably... knot.

### Unraveling DNA with Rational Tangles

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How Big are All Infinities Combined? (Cantor's Paradox)

Infinities come in different sizes. So what's the right way to describe the sum?

### How Big are All Infinities Combined? (Cantor's Paradox)

Infinite Series

The Geometry of SET

In SET, what is the maximum number of cards you can deal that might not contain a SET?

### The Geometry of SET

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What was Fermatâ€™s â€śMarvelous" Proof?

If Fermat had a little more room in his margin, what proof would he have written there?

### What was Fermatâ€™s â€śMarvelous" Proof?

Infinite Series

In the physical world, objects are made of simpler parts. What are numbers made of?

### What are Numbers Made of?

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What Does It Mean to Be a Number? (The Peano Axioms)

Could you explain numbers to someone without using the notion of a number?

### What Does It Mean to Be a Number? (The Peano Axioms)

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Telling Time on a Torus

What shape do you most associate with a standard analog clock? Circle or... torus?

### Telling Time on a Torus

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How to Divide by "Zero"

What happens when you divide things that arenâ€™t numbers?

### How to Divide by "Zero"

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Beyond the Golden Ratio

You know the Golden Ratio, but what is the Silver Ratio?

### Beyond the Golden Ratio

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Proving Brouwer's Fixed Point Theorem

The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.

### Proving Brouwer's Fixed Point Theorem

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The Mathematics of Diffie-Hellman Key Exchange

How can two people share the same key without someone else getting a hold of it?

### The Mathematics of Diffie-Hellman Key Exchange

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Topology vs "a" Topology

What exactly is a topological space?

### Topology vs "a" Topology

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This Video was Not Encrypted with RSA

Here we break down Asymmetric crypto and more.

### This Video was Not Encrypted with RSA

Infinite Series

Associahedra: The Shapes of Multiplication

What happens when you multiply shapes?

### Associahedra: The Shapes of Multiplication

Infinite Series

The Multiplication Multiverse

What happens if you multiply things that arenâ€™t numbers?

### The Multiplication Multiverse

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