Math with Bad DrawingsCartoon Archive

Space-Filling Cat

November 12, 2019

A cat covers an entire bed by contorting into a space-filling curve.

Use this cartoon

Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2019-11-12-space-filling-cat/ (CC BY-NC 4.0)
Transcript

A: "Ugh. Your cat is taking up literally the entire bed." B: "That's impossible. Cats are too small. Unless…" [the cat stretched into a space-filling curve covering the bed]

B: "GOOD HEAVENS. CATS HAVE FIGURED OUT SPACE-FILLING CURVES" A: "This is why I wanted no pets on the bed. I knew something like this would happen."

Topics
Geometry › Fractals › Space-Filling CurvesGeometry › DimensionsAdvanced Math › Topology
Level
High SchoolCollege
Themes
AnimalsEveryday LifeFamily & Relationships