Listener 4930 initial grid

Rearrangement by Ploy

Puzzle explanation

The letters extracted when unjumbling words in clues were “NNNNN EEEEE edge ESESESESESESESE bars SSSS WW SSSS”, describing paths that started from the three bars on the grid’s edge and cut the grid into four pieces, as shown here. The bottom-right 5×5 piece contained KEEP THIS diagonally and was removed. The other three pieces were assembled into a 12×12 square for submission, with HENRY ERNEST DUDENEY highlighted diagonally. This demonstrated a dissection of a 13×13 square into squares of 12×12 and 5×5, published by Dudeney as “No. 175 — Another Patchwork Puzzle” in his Amusements in Mathematics (1917). The circled letters formed PYTHAGORAS, relating to 132 = 122 + 52 as an example of the Pythagorean theorem. The clue gimmick of removing one letter and rearranging the rest echoed the rearrangement of the grid with one piece removed.

Clue explanations

Conventions: * = anagram, < = reversal

No Treated word; correction Answer Explanation
Across
1 (N)ursery; surrey WHIPPLETREE (WHERE TIPPLE) *
9 lin(N)ets; silent SH SHOULD − LOUD *
11 pla(N)et; plate GULA LUG < + A
13 Jen(N)a’s; Jean’s ÉTAT (veg)ETAT(ion)
14 A(N)dy’s; day’s MORN homophone of MOURN
15 Tynesid(E); density LOCKSTEP L + POCKETS *
16 Myrtac(E)ous; customary NOMIC CINNAMON < − ANN
17 Ne(E)dy; deny ATHETISE (A SHEET IT) *
18 On(E); no EROTEMA ROTE in (E + MA)
22 P(E)sach; chaps FRIARIES FRI + ARIES
23 isonomi(E)s; omission IN TOTO INT + O + TO
25 Rho(D)es; horse SPILT S(ome) + PI + LT
27 bri(G)ht; birth CAESAREANS CA + ERASE < + ANS
29 cam(E)l; calm ALAY A + LAY
32 p(E)sto; spot TEMPE M in (TE + PE)
33 gnu(S); gun AMMO (g)AMMO(n)
34 reev(E); ever ENDLESS (i)DLENESS *
37 (S)ignore; region MAINLAND AND after MILAN *
38 tik(E); kit GERE (bagga)GE RE(claim)
39 radio(S); aroid TUCKAHOE (A + HOE) after TUCK
40 spac(E)rs; scraps SHREDDED REDD in SHED
41 lapse(S); leap STENS S + TENS
Down
2 fiancé(E)s; fancies HUMORS (Wit)H (yo)U + MORS
3 pyrogen(S); progeny PARITY PARTY around I
4 reduc(E); cured PANCETTA (PÂTÉ CAN’T) *
5 sign(S); sing LA-LA LA + LA
6 remad(E); armed TECHNICAL CATCHLINE *
7 Sinarchi(S)t; Christian EASTER EASIER with T for I
8 (E)ating; giant ETTIN (f)ETT(a) + IN
9 ignora(B)le; regional SYES S + YES
10 artis(A)ns; strains HYPERSTRESSES homophone of HIGH + PERS + TRESSES
11 Cai(R)ns; Canis GENERIC NAMES (ENCASING MERE) *
12 No(S)e; one DOTARD DOT + ARD
19 (S)abre; bear HASN’T SN in HAT
20 layer(S); early DELAPSION (ALE + D) < + PSION
21 Hurricane(S); raunchier STEAMIER STEER around AMI
24 clemati(S); climate ORYZA CORYZA − C
26 (W)agers; gears IN MESH (HIS MEN) *
28 (W)aste; seat ARMAGH (H(igh) + GAM + RA) <
30 di(S)proved; provided ARLED D after (p)A(t)R(o)L(m)E(n)
31 dire(S)t; tried VENUE UNEVE(n) *
35 settler(S); letters DAKS DS around (A + K)
36 acre(S); race LEAT (Jung)LE AT(las)
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