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the bedroom lights to 50%” “Turn off all lights” “Set lights to blue” Climate Control “Set thermostat to 72 degrees” “Increase temperature” “Turn on the fan” Security & Cameras “Show front door camera” “Arm security system” “Disarm security system” “Is the gar

M—an elegant algorithmic sequence—into the mix makes the journey even more captivating. Understanding the Foundations: Group Theory and Its Role in Puzzles At its core, group theory is a branch of abstract algebra that studies mathematical groups—sets equipped with an operation that combines any two