1 Solitaire -- 1.1 Cube, Cubies and Cubicles -- 1.2 Maneuvers -- 1.3 A Simple Strategy -- 1.4 Rinirenefenefi -- 1.5 Operations -- 2 The Mathematical Model -- 2.1 Sets and Functions -- 2.2 Groups -- 2.3 The Small and the Large Model -- 2.4 Characterization of Possible Positions and Operations -- 2.5 The Structure of Rubik's Group -- 2.6 Special Subgroups -- 3 Construction of Maneuvers -- 3.1 Variation -- 3.2 Combination -- 3.3 Conjugation -- 3.4 Isolation -- 4 Pretty Patterns -- 4.1 Christmas Parcels and Chicken Feet -- 4.2 Snakes -- 4.3 Birthday Cubes -- 5 Variations and Generalizations -- 5.1 The Supercube -- 5.2 Sam Loyd's 15-Puzzle -- 5.3 Other Magic Polyhedrons -- 5.4 Mรจffert's Pyraminx -- 6 Computer Cubology -- Maneuver Index -- Keyword Index