Listener Crossword 4131: Solution Notes

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Carte Blanche en Tore by Ten-Four

Puzzle explanation

The extra letters from the clues spelt “You can do up to seven. Join each pair of Ks with lines that don't cross.” There were seven Ks in the final grid; as stated, it is impossible to join more than four of them in the required manner if the grid is viewed as a plane. Viewed as a torus, it is possible to join all seven, creating what is known as the “complete graph on seven vertices”, commonly abbreviated as K7.

The Ks can be connected in various ways. Any solution with all the Ks connected by non-crossing, straight lines (maintaining their direction when reappearing at the opposite edge of the grid) was marked correct. A selection of correct arrangements is shown below; these may also be reflected in a horizontal or vertical axis.
Listener 4131 solution 1 Listener 4131 solution 2 Listener 4131 solution 3 Listener 4131 solution 4

Clue explanations

Conventions: * = anagram, < = reversal

No Answer Explanation, with [extra letter]
ACROSS
1 RETRIAL LITERAR[Y] *
2 RANGOLI LOG[O] < in RANI
4 SPADOES S[U]P + A + DOES
6 UPCLOSE UP + C + [C] + LOSE
7 SAIL ARM SAI + [A]LARM
9 ZAMARRO ZAMA[N] + (OR + R(osebush)) <
14 REPASTS RESTS around PA[D]
15 TWEEDLE TW[O] + NEEDLE − N
16 TOSSIER O[U]TSIDERS * − D
17 PYAEMIC P + YA[P] + MICE *
20 ARRISES [T]AR + RISES
23 RAWHIDE RIDE around WH[O]A *
24 TASSETS TASS + [S]ETS
26 SPIKIER SKIER around PI[E]
29 AGENTED DE[V]A < around GENT
31 REUNITE RE + UNI + TE[E]
33 MADISON (NOMADS I[N]) *
34 GOLIARD (I + [J]AR) in GOLD
37 ESPADAS (A)ES[O]P + AD + SA <
40 AEMULES A + EMU + L[I]ES
42 LIAISES LI + A[N]ISES
43 TROTHED HOT-TEMPER[E]D * − EMP
45 ARMADAS (AD + A[A]) in ARMS
47 BREASTS (E[C]B STARS) *
49 WAIVODE WAIVE around DO[H] <
50 ABRADES [P]ARADES around B
52 STARETZ STARE [A]T + Z
DOWN
1 REMBLAI MIRAB[I]LITE * − IT
3 SCARPER SC[R]APER around R
5 OAK TREE (AKEE RO[O]T) *
8 ATTASKT A + T + TA[F]T around SK
10 REISSUE RE(i)[K]I + S + SUE
11 SWERVED (SWEDE[S] RV) *
12 HERDING HER + D + [W]ING
13 POITREL PO + IT + R[I]EL
18 MASHIES MA[T] (Matilda) + SHIES
19 CHIGOES CHICAGO − CA + [H]E'S
21 STADIAL BAL[L]ADIST * − B(othered)
22 TRIMMER TRIM + MER[I]
25 AKRASIA [N]ARK < in ASIA
27 PASSKEY SPEAK[E]ASY * − A
28 JUDAICA JUD + A + I[S] + CA
30 ENSEARS EN'S + [T]EARS
32 MESTIZA MES[H] + (A + ZIT) <
35 OAK MAST A in OK + MA + S[A]T
36 LET DROP LET[T] + DR + OP
38 PYRENES EN[D] in PYRES
39 GAS WELL G[O] + A + SWELL
41 RASTRUM RA[N] + STRUM
44 HEAL-ALL HEAL + [T]ALL
46 VANESSA (ad)VAN[C]ES SA(ucily)
47 BEGORED ROGE[R] < in BED
48 TAIPANS (A + IN A SP[O]T) *
51 DIDAKEI I after (DID + [S]AKE)
53 TROOPED PTEROPOD[S] * − P
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