Jackie, Matt, and Inez set out to prove that Hacker doesn't deserve to be the ruler of Cyberspace. They try to find a counterexample to his statement that "you can always make a triangle out of any three rods." After some experimentation, they discover that one long rod and two short rods do not connect and therefore do not make a triangle. They present their findings during the debate.

The narrator explains to Donald the story of Pythagoras, who is considered by some to be the father of mathematics and music. He discusses Pythagoras' society, the Pythagoreans, and how they used mathematics to create music.

Math →
Real World Application →
Shapes in Everyday Items

Math →
Real World Application →
Patterns in Nature

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The narrator explains that mathematics is much more than simply numbers and equations. He shows how different shapes, such as spheres and cones, can be found in nature and are used in technology both at home and in several industries.

Bud Abbott, the landlord, collects thirteen week's worth of rent at $7 a week from his tenant, Lou Costello. Lou argues that he only owes $28. Perplexed by what Lou is saying, Bud offers to give Lou the room for free if he can prove to him why the answer is $28.

On Christmas Eve, Ms. O is surprised to learn from Santa that she is on his naughty list. Santa shows her that she has performed more naughty actions than nice actions and explains his use of the "greater than" symbol. Unless she performs more nice actions than naughty actions before Christmas, Ms. O will not receive any presents.

The narrator shows Donald Duck several occurrences of mathematical forms in nature, such as the petuna, the starfish, and the wax flower. He explains that math can be found in music, art, and virtually all other aspects of the world.

Math →
Real World Application →
Impact of Mathematicians

MS
HS

In this intro scene to A Beautiful Mind, a professor gives a speech explaining how mathematics contributed to the Cold War and the national security of the United States.

The narrator explains the Golden Ratio, the Golden Rectangle, and the Golden Section and how, despite the size of shapes, their proportions are the same. He provides real-world examples of the golden ratio in nature and architecture.