How to recognize billiard strings #SOME2

For the curious, “Sturmian sequences“ are the name for balanced binary strings that are also infinite and not eventually periodic. Sturmian sequences are related in some very cool ways to continued fractions and several other topics. That may be the subject of Part 3, if I ever get that far. 00:00 Introduction 01:42 Assumptions for billiards 03:02 Alternation rules 05:20 Changing to two symbols 07:19 Substrings and weight 08:25 Balanced strings 10:48 Billiard strings vs. balanced strings 12:24 Solutions The following sound effects from were used: “billiard ball clack” by Za-Games, “Justa slap smack” by rocketpancake, and “Countdown” by sonically_sound.