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 does the protagonist compare the dame's eyes to?

Describe the riddle that involves holding something in your hand with 0 area.

What is the significance of the infinite number of cuts made to the triangle?

Explain how the protagonist arrives at the concept of a shape with finite area but infinite perimeter.

What does the protagonist mean by saying fractals are 'the stuff that dreams are made of'?