TED-ED: The case of the missing fractals - Alex Rosenthal and George Zaidan

Manny Brot, a private eye, embarks on a mysterious journey involving three riddles. The first riddle challenges him to create a shape with zero area, which he solves by infinitely subdividing a triangle. The second riddle involves finding a shape with finite area but infinite perimeter, leading him to the concept of the Koch curve. The final riddle requires a shape that looks the same at any magnification, introducing the concept of fractals. Through these challenges, Manny explores complex geometric concepts in a narrative style.

What is the main challenge Manny Brot faces in the first riddle?

• Finding a shape with infinite volume

• Identifying a stolen object

• Creating a shape with zero area

• Solving a Rubik's cube

How does Manny Brot solve the second riddle?

• By making a shape with zero perimeter

• By increasing the perimeter while keeping the area finite

• By creating a shape with infinite volume

• By finding a shape with no sides

What characteristic defines the shape Manny creates in the second riddle?

• Infinite area and finite perimeter

• Finite area and infinite perimeter

• Infinite volume and finite surface

• Zero area and zero perimeter

What is the key feature of the picture Manny needs to find in the third riddle?

• It changes color when magnified

• It becomes a different shape when enlarged

• It remains the same at any magnification level

• It disappears when zoomed in

What concept does Manny Brot ultimately discover in the third riddle?

• The solution to a Rubik's cube

• The self-similarity of fractals

• The concept of infinite volume

• The nature of imaginary numbers