## Taxi! by Ilver

### Puzzle explanation

Extra letters in wordplay gave “a very interesting number”,
the Indian mathematician Srinivasa Ramanujan’s description of 1729
(now known as the Hardy-Ramanujan number).
Fellow mathematician G. H. Hardy,
having travelled to visit Ramanujan in a taxi numbered 1729,
remarked that it seemed a rather dull number,
but Ramanujan pointed out that it was the smallest integer
that is the sum of two (positive) cubes in two different ways,
1729 = 1³ + 12³ and
1729 = 9³ + 10³.

Taking letters in positions 1, 7, 2, 9, 1, 7, 2, 9, ... of successive across clues
spelt out the start of Hardy’s statement
“Beauty is the first test:
there is no permanent place in the world for ugly mathematics”.
Letters in columns 1/7 and 2/9 of alternate rows in the grid
were THE WOR(AHSTTMMAEIC)LD, HARDY.
Unscrambling MATHEMATICS completed a representation of Euler’s identity,
*e*^{iπ} + 1 = 0,
considered an example of mathematical beauty.

### Clue explanations

Conventions: * = anagram, < = reversal

No |
Answer |
Explanation [extra letter] |

Across |

1 | TRACKS | T + RACKS |

5 | HOMAGE | MAG in HOE |

9 | SEPHEN | S(t)EPHEN |

11 | EH WHOW | (n)E(p)H(e)W(’s) + HOW |

13 | EAT CROW | TEA * + C + ROW |

14 | TARMAC | (T CAR) * around MA |

15 | THARS | T + HARS(h) |

16 | SNIPING | SING about NIP |

18 | TAIPAN | PIÑATA * |

21 | ENMESH | MEN * + HE’S * |

22 | MYOSIN | M + SOY < + IN |

27 | LETS GO | LEGO around T(omb)S |

29 | SHINER | (backwa)SH I NER(vously) |

30 | CARON | CAR + ON |

31 | LYSINE | IS < in LYNE |

33 | WHYDAHS | WHY + D + HAS * |

35 | ASTRUT | TR(ee) in (AS + UT) |

36 | RULE OK | ULE in ROK |

37 | IDEATE | IDE + AT + E |

38 | IDYLLS | SILLY * around D |

Down |

1 | TSOTSI | T(u)S(k) O(n) T(h)[A](i) S(h)I(p) |

2 | RED ANT | RANT around [V]ED |

3 | CHAMPIONESS | CONES around (HAM + PI[E]) + S |

4 | KETA | T[R] in KEA |

5 | HERB TEAS | (B + STA[Y] HERE) * |

6 | OHO | OH[I]O |

7 | AHEAP | A + H + PA[N]E < |

8 | EWES | E + WES[T] |

10 | PERIPLUS | PULPITE[E]RS * − T |

12 | OKRAS | RAS after [R]OK |

15 | TANE | T[E]A + ’N’ + E |

17 | GONOCYTE | GONE around (O + CY[S]T) |

19 | IMPISHLY | IMPLY around [T]HIS * |

20 | EQUAL SIGN | E + QUA[I]LS + IG + N |

23 | YEADS | YE[N] + ADS’ |

24 | ANISE | (oce)AN IS [G]E(rminating) |

25 | BENZOL | BENZ + O[N] + L(ow) |

26 | WRECKS | [U]K in SCREW * |

28 | TRITE | TR + ITE[M] |

30 | CHAI | [B]ACH with letters “cycled” + I |

32 | YAUD | AU in (Y[E] + D) |

34 | HUT | HU[R]T |

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