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Beyond the Golden Ratio

Beyond the Golden Ratio

Season 2 Episode 8
8:57
How to Divide by "Zero"

How to Divide by "Zero"

Season 2 Episode 9
8:01
Telling Time on a Torus

Telling Time on a Torus

Season 2 Episode 10
7:17
What are Numbers Made of?

What are Numbers Made of?

Season 2 Episode 12
10:07
The Geometry of SET

The Geometry of SET

Season 2 Episode 14
10:21
Unraveling DNA with Rational Tangles

Unraveling DNA with Rational Tangles

Season 2 Episode 16
9:36
Defining Infinity

Defining Infinity

Season 2 Episode 17
10:31
Instant Insanity Puzzle

Instant Insanity Puzzle

Season 2 Episode 18
9:32
The Assassin Puzzle

The Assassin Puzzle

Season 2 Episode 19
9:12
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Infinite Series

Proving Brouwer's Fixed Point Theorem

Season 2 Episode 7

There is a proof for Brouwer's Fixed Point Theorem that uses a bridge - or portal - between geometry and algebra.

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Season
The Assassin Puzzle
9:12
Can you save the target from his assassin in a square room with bouncy walls?
Instant Insanity Puzzle
9:32
Can you stack four colored cubes so that each color only shows once on each side?
Defining Infinity
10:31
Set theory is the foundation of all of mathematics. How does it handle infinity?
Unraveling DNA with Rational Tangles
9:36
When you think about math, what do you think of knots? Probably... knot.
How Big are All Infinities Combined? (Cantor's Paradox)
13:02
Infinities come in different sizes. So what's the right way to describe the sum?
The Geometry of SET
10:21
In SET, what is the maximum number of cards you can deal that might not contain a SET?
What was Fermat’s “Marvelous" Proof?
10:50
If Fermat had a little more room in his margin, what proof would he have written there?
What are Numbers Made of?
10:07
In the physical world, objects are made of simpler parts. What are numbers made of?
What Does It Mean to Be a Number? (The Peano Axioms)
9:35
Could you explain numbers to someone without using the notion of a number?
Telling Time on a Torus
7:17
What shape do you most associate with a standard analog clock? Circle or... torus?
How to Divide by "Zero"
8:01
What happens when you divide things that aren’t numbers?
Beyond the Golden Ratio
8:57
You know the Golden Ratio, but what is the Silver Ratio?
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