This Function Maps Any Interval to the Real Line (Conways Base-13 Function)
In this video we'll explore Conway's "Base-13 function" which maps any real interval to the real line. It is a function which is discontinuous everywhere, yet still has the intermediate value property: making it a counter example to the converse of the intermediate value theorem.
FAQ : How do you make these animations?
Animations are mostly made in Apple Keynote which has lots of functionality for animating shapes, lines, curves and text (as well as really good LaTeX). For some of the more complex animations, I use the Manim library. Editing and voiceover work in DaVinci Resolve.
Supporting the Channel.
If you would like to support me in making free mathematics tutorials then you can make a small donation over at
Thank you so much, I hope you find the content useful.
Watch video This Function Maps Any Interval to the Real Line (Conways Base-13 Function) online without registration, duration 09 minute 03 second in high hd quality. This video was added by user Dr. Will Wood 05 August 2023, don't forget to share it with your friends and acquaintances, it has been viewed on our site 70 thousand once and liked it 2 thousand people.