A Second Helping of Pi by Will Nediger - Introduction

Welcome to “A Second Helping of Pi”, the inevitably-titled sequel to my first contest. This puzzle is basically the same as the first: find the answers to the 15 questions, and use them all to calculate the value of π, the 16th question. There are a couple of differences, though. This time around, all of the answers are positive integers. So if you get an answer which isn’t a positive integer, take another stab at it. The scoring system is the same, one point for each correct answer, including π. (No points are awarded for solving Puzzle I or Puzzle II, but their solutions will be used in the questions.) Honours go to the top three finishers, by total number of correct answers.

Reveal the mysteries of the Second Helping Here

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Notes

·          For δ, the titles do not have to appear exactly as they are spelled. For example, “Yesterday” can be heard in the phrase “polyester Danish”. Include “Revolution”, which can be heard in “Revolution 1”.

·          In λ, isomorphs are words with the same letter pattern. For example, SWEETHEART and BLOODHOUND both have the letter pattern 1233453674.

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Puzzle I

New_picture_5

Across

1. Part of an armada

8. Chiron, e.g.

13. Intrinsically

14. Over

15. City near Winfield

17. Rhea, e.g.

18. Vapid

19. Some MIT grads

21. Related

22. Line of fashion

23. Revolver holder, maybe

26. Regret

27. Sort of fit

29. Tractor accessory

31. They do heavy lifting

34. Type of magnet

35. Adjective for 48-Across

36. Covers

37. Pet, at times

38. Lear often used it

39. In a disorientated manner

40. Miners' home

41. Pennsylvania's League

42. Adjective for 8-Across

44. See stars

48. Some fishes

50. Needle point?

51. Decimal, in France

52. Serving well

54. Sunshiny mood

57. Increased one's stamina, in a way

58. Whining ones

59. iPod mode

60. Like nylon suits

Down

1. City in three Texas counties

2. Name meaning 'grace'

3. Double talk

4. Halt

5. O'Hare, e.g.

6. Wrath

7. He was a Great guy

8. Many a T.S. Eliot character

9. Writing published posthumously?

10. Commercial debut of 1894

11. Judges

12. Most sensitive

13. Retirement areas?

16. It's often worn during surgery

20. Censored

23. It describes magnetization

24. Spotting

25. Hindu concepts

28. Go on a binge

30. Hockey move

31. Golfers get them

32. Uncertain

33. They often hang on a mirror

43. Showtime drama, with 'The'

45. Passover no-no

46. Eagles' home

47. Partner of James, Kirk, and Robert

49. Dagger

51. Break off

53. Economics stat

55. Poetic contraction

56. Printer stat

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Puzzle II

New_picture_4_1 

  1. T-dot. (51.43.60.1.11.66.19)
  2. Gloomy. (20.3.7.45.56.70.54.53.32.26)
  3. Thelma, for one. (42.36.68.8)
  4. Book whose main character lived 102 years. (55.39.28.5.37)
  5. Hog’s partner. (49.63.17.25.59.10)
  6. Stevenson supporters, once. (57.31.48.2.16.61.4.33)
  7. Scrabble-playing expert. (13.67.64.46.44)
  8. First ___. (22.38.41.58.14)
  9. Word that is derived from the name of a fruit and has a synonym which is the name of another fruit. (6.30.69.40.23.34.27)
  10. Answer C:Caunitz thriller::vaccine:___. (62.52.15.47.24.29)
  11. Common pas-de-deux finale. (12.21.35.18.9.50.65)

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α

The members of Viola Largo’s five-piece band decided to hold a week-long concert, one of them performing each day from Monday to Friday. Curiously, their first names (Herbert, Patrick, Helen, Penelope, and Bob) begin with the same letters as their last names (Harper, Pfeiffer, Horner, Piper, and Bell), although they do not all correspond. Even more curiously, the instruments they play (harp, fife, horn, pipe, and bell) are echoed by their surnames, although again they do not all correspond. On what date in the month did Pfeiffer play?

1. The number of people whose names alliterate is even, and equal to the number of people whose surnames match their instruments.

2. Patrick performed the day after the bell player and the day before the player named Bell.

3. Bob’s performance came two days before the fifer’s, with a performance by a woman in between.

4. The man who performed on Wednesday had a surname beginning with H.

5. One person played two days before the performer with the same last initial; the two were of different genders.

6. Helen and Herbert were the only non-superstitious ones; the others refused to play on Friday, which was the 13th of the month.

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β

Answer to the following, with the sum subtracted:

1. a) y=|x2-5|

    b) r=tan θ

    c) x2+y2=25

2. An ellipsis, two sideways exclamation marks, and me (compressed into one).

3. a) The 11th of a common series of 12 items, but etymologically the 9th.

    b) Honour for Tom Hanks or Spencer Tracy.

    c) Activity requiring two people.

    d) Nevada, in the United States or Spain.

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γ

Atomic number of an element with a symbol, given by Mendeleev, the same as the initials of the title character of the only film starring an actress and her former beau, who had a tattoo with her name on it until their break-up, upon which he removed the last two letters of her name.

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δ

Average of a, b, and c, plus the product of the roots of the quadratic ax2+bx+c=0.

a = Number of Beatles songs whose titles can be heard on the White Album, excluding “Revolution 9”, and not including titles to songs contained in their own lyrics, minus the number of tracks on the White Albun, plus the number repeated at the beginning of “Revolution 9”.

b = Year which can be found in the Webster’s Third entry for the anagram of the addendum to the name of my first contest.

c = Year of birth of the palindromically-surnamed author of an anagram of ANAGRAMS.

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ε

Sum of the logarithms of all the divisors of one trillion, plus the value of a Wensleydale disc, to a shepherd.

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ζ

Remove all occurrences of the letter which appears twice as often as Z in the solution to Puzzle I before decoding: (spaces have been added for formatting, these should be disregarded):

TGATCACCCCCGACAG

CGAACCATTAAACAGC

AGATCCGAAGACCTTC

CGAGCCAATTTACACC

CGGTCCGACGAAAGAT

CGGACGATACCTTTTCC

TCAAACCATTTACCACA

ATAATACGGACACCTC

GGAAACCAAAATGACA

GCACCTTCCAAAAGAC

AGGAAGAGGAAACTCC

GCCTAGCCCGGAAACT

CGAAGAGCGGCCTTTC

AAACCATACCAAGAAT

ACTCCAACACCGAACG

AACCCAGCAGACCTAC

AAACGGAGACCGGAAA

GCAACCTCAGCATTGAG

GCCCAGAGACAGCCGG

CCGGAGAGAAGCGAATA

CTTTTCGCAACTCTCCCA

AGCCGCCTTCCTCCACC

AAGTGACAGGCCCAGAC

GGCTCGCCGCCAGAACC

GACGGACAGCACCATAA

TACCACAAGGACGAGGA

AGTAGGGAGCCAAGGCC

CGACAGCACTCCCTCAA

TACCAACCTCCGACGGA

CAGCACCCGGCCGGAAACCT

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