The extra words in clues were individually jumbled (in all but one case) and respaced to yield “alpha kappa alpha delta eta mu epsilon iota alpha”, spelling out ΑΚΑΔΗΜΕΙΑ (academy) in ancient Greek. The modifications to letters in rows 2 and 3 of the grid (reflecting L to create gamma, rotating Ws to create sigmas and increasing the “quantity” of O-micron to O-mega) produced ΑΓΕΩΜΕΤΡΗΤΟΣ ΜΗΔΕΙΣ ΕΙΣΙΤΩ, “let no one ignorant of geometry enter”, the inscription said to be displayed above Plato’s Academy in Athens. The blank cells were joined to show the outline of a tetrahedron (with a dotted line for the hidden edge), the simplest of the Platonic solids. The puzzle’s title referred to a platonic relationship, which doesn’t involve “it” (sexual relations).
Conventions: * = anagram, < = reversal
| No | Extra word | Answer | Explanation |
|---|---|---|---|
| Across | |||
| 1 | MASTER MASONS | MA’S + TERM + A + SONS | |
| 12 | pal | DRAMAS | DRACHMAS − CH |
| 14 | AGRA | AGR + A | |
| 15 | ENLARD | (EN + LAD) around R | |
| 17 | LIGNITE | L + IGNITE | |
| 21 | OROPESA | O(rdnance) + ROPES + A | |
| 23 | haka | GONERS | ON in GERS |
| 26 | papa | DEY | DYE * |
| 27 | DO TIME | DO TI ME; ref. notes in C major | |
| 29 | CACOON | (COCOA + N) * | |
| 30 | lapheld | PIEMEN | EME in PIN |
| 31 | AREOSYSTILE | A + (CLOISTER + YES) * − C(apital) | |
| 32 | LICKETY-SPLIT | LIT after (ETY in (LICK + SP)) | |
| Down | |||
| 1 | MAMMALOGICAL | MAGICAL around (M + MALO); ref. David Copperfield the illusionist | |
| 2 | teat | ALHAGI | (Puritanic)AL HAGI(ographer) |
| 3 | Empusa | TOE-DANCE | ANECDOTE * |
| 4 | EMIRS | IRS after ’EM | |
| 5 | oil | REWAX | REW + AX |
| 6 | APING | A + PING | |
| 7 | SHWA | WASH *; ref. the ə symbol | |
| 8 | NOTARY | (A + R(eed)Y + NOT(e)) * | |
| 9 | SWORD-BAYONET | (BYTES IN A WORD) * with O for I (as binary digits) | |
| 10 | TISANES | STAINES * | |
| 11 | URGENCE | (GCE UNDER) * − D | |
| 13 | MEER | M + E’ER | |
| 16 | LIP-DEEP | (E + APPLIED − A) * | |
| 18 | TOST | OS in TT | |
| 19 | JOWARI | (JOWARI + CARAMEL − R) * = MAJOLICAWARE | |
| 20 | BROOSE | ROOS in BE | |
| 22 | SESELI | (IS + EELS) * | |
| 24 | ailanto | TIPSY | TI + SPY * |
| 25 | EMITS | MIT in E’S | |
| 28 | hap | DOOK | DO + OK |