Can we describe an infinite orbit with just 0s and 1s?
Two symbols. Infinite complexity. Welcome to symbolic dynamics.
The Encoding Puzzle
Watch a chaotic orbit bounce around the interval [0, 1]. At each step, we record a 0 if the point is in the left half, or a 1 if it is in the right half. What kind of sequence emerges?
The Partition
Symbol Sequence (Itinerary)
Press Start to generate the sequence
What is the nature of this symbol sequence?
Try it! Click "Start Encoding" to watch chaos become a binary sequence!
