| NUMBERS | General word for figures bound within the boxes of a magic square or entered into the grid of a sudoku (7) |
| ACID | Conclusive test - off the grid - of a sweet tooth? (4) |
| KLEE | Painter with a "Magic Square" series |
| GENIE | Mystical figure bound to a magical lamp (5) |
| UNIX | OS that uses emacs, sudo and chmod commands |
| MEA | "Sudo make ___ sandwich" (classic XKCD punchline) |
| NONET | One of the 3x3 boxes of a sudoku puzzle; or, a composition for nine instruments or nine voices (5) |
| LIKETHERES | With 57 Across, unrestrainedly ... or how the answers at 18, 23, and 37 Across should be entered into the grid? |
| WENTUNDERGROUND | Began working in secret, or entered the end of 3-, 37- or 38-Down? |
| GREGORIAN | Turning up, received endless huge boxes of a variety of date |
| VAULTS | Bounds within which wines are stored |
| REGENT | Ruler, for example, entered into the breach (6) |
| LOGGED | Entered into the record |
| SUM | 15, for any row, column or diagonal of a 3x3 magic square |
| BACON | Francis ?, painter whose works include 1944's Three Studies for Figures at the Base of a Crucifixion |
| DISAPPEARINGACT | Part of a magic show, and the key to understanding this puzzle's one-word clues |
| TRIANGULATED | Surveyed using a grid of three-sided figures |
| BOGGLE | Word game invented by Allan Turoff using a plastic grid of lettered dice (6) |
| BROADWAY | _ _ _ _ _ _ _ _ Boogie Woogie, 1943 painting by Piet Mondrian, partly inspired by the city grid of Manhattan (8) |
| MACAQUE | Rigs out magic square for monkey ... (7) |
