Backward Baseball

In a retrograde analysis puzzle, one tries to deduce the history of a game from the current state of play. The most familiar examples concern chess, but Smith College mathematician Jim Henle worked out that it can also be done in baseball. This is the batting order of the Mudville Slugs:

  1. Flynn
  2. Blake
  3. Casey
  4. Hobbes
  5. Davis
  6. Shlabotnick
  7. Thayer
  8. Cooney
  9. Barrows

We’re told also that in the ninth inning Casey came to bat for the fourth time, while the bases were loaded with two men out. Casey struck out, leaving the team with another loss. How many runs did Mudville score altogether?

Click for Answer

Crime and Punishment

Memorable excerpts from the detective fiction of Michael Avallone (1924-1999):

  • “The next day dawned bright and clear on my empty stomach.” (Meanwhile Back at the Morgue)
  • “My body felt as abnormal as a tuxedo in a hobo jungle.” (The Crazy Mixed-Up Corpse)
  • “My stunned intellect, the one that found death in his own backyard with him standing only feet away, hard to swallow in a hurry, found the answer.” (The Horrible Man)
  • “Her breasts were twin mounds of female muscle that quivered and hung and quivered and hung again. The pale red of her nipples were two twinkling eyes that said Go, Man, Go.” (The Crazy Mixed-Up Corpse)
  • “‘I’ve done a stupid thing, Ed,’ Opal Trace musicaled.” (The Case of the Violent Virgin)
  • “‘Opal …’ she hoarsed.” (The Case of the Violent Virgin)
  • “‘Obviously!’ she crackled, laying a whip across me and then turning with a sexy flounce she vanished through the glass doors, dragging her hatbox and portmanteau behind her. And my mind.” (Shoot It Again, Sam!)
  • “I looked at the knife. … One half of the blade was soaked with drying blood. Benny’s blood. It was red, like anybody else’s blood.” (The Voodoo Murders)
  • “Dolores came around the bed with the speed of a big ape. … She descended on me like a tree full of the same apes she looked like.” (The Tall Dolores)

This and my recent post on Robert Leslie Bellem were inspired by Bill Pronzini, who has written two appreciations of rapturously bad mystery fiction.

Side Business

Notable allusions to unrecorded cases of Sherlock Holmes:

  • “‘Oh, you mean the little problem of the Grosvenor Square furniture van. That is quite cleared up now — though, indeed, it was obvious from the first.'” (“The Adventure of the Noble Bachelor”)
  • “‘Farintosh,’ said he. ‘Ah, yes, I recall the case; it was concerned with an opal tiara. I think it was before your time, Watson.'” (“The Adventure of the Speckled Band”)
  • “‘Here’s the record of the Tarleton murders and the case of Vamberry, the wine merchant, and the adventure of the old Russian woman, and the singular affair of the aluminium crutch, as well as a full account of Ricoletti of the club foot and his abominable wife.'” (“The Adventure of the Musgrave Ritual”)
  • “‘He is a big, powerful chap, clean-shaven, and very swarthy — something like Aldridge, who helped us in the bogus laundry affair.'” (The Adventure of the Cardboard Box”)
  • “‘You know that I am preoccupied with this case of the two Coptic Patriarchs, which should come to a head to-day.'” (“The Adventure of the Retired Colourman”)
  • “‘We have not forgotten your successful action in the case of Matilda Briggs.’ ‘Matilda Briggs was not the name of a young woman, Watson,’ said Holmes, in a reminiscent voice. ‘It was a ship which is associated with the giant rat of Sumatra, a story for which the world is not yet prepared.'” (“The Adventure of the Sussex Vampire”)
  • “A third case worthy of note is that of Isadora Persano, the well-known journalist and duellist, who was found stark staring mad with a matchbox in front of him which contained a remarkable worm, said to be unknown to science.” (“The Problem of Thor Bridge”)
  • “‘This is the Dundas separation case, and, as it happens, I was engaged in clearing up some small points in connection with it. The husband was a teetotaller, there was no other woman, and the conduct complained of was that he had drifted into the habit of winding up every meal by taking out his false teeth and hurling them at his wife, which you will allow is not an action likely to occur to the imagination of the average story-teller.'” (“A Case of Identity”)
  • “‘And yet the motives of women are so inscrutable. You remember the woman at Margate whom I suspected for the same reason. No powder on her nose – that proved to be the correct solution.'” (“The Adventure of the Second Stain”)
  • “‘I must thank you’, said Sherlock Holmes, ‘for calling my attention to a case which certainly presents some features of interest. I had observed some newspaper comment at the time, but I was exceedingly preoccupied by that little affair of the Vatican cameos, and in my anxiety to oblige the Pope I lost touch with several interesting English cases.'” (The Hound of the Baskervilles)
  • “Our months of partnership had not been so uneventful as he had stated, for I find, on looking over my notes, that this period includes the case of the papers of ex-President Murillo, and also the shocking affair of the Dutch steamship Friesland, which so nearly cost us both our lives.” (“The Adventure of the Norwood Builder”)

A full list is here.

Persistence

Each of the first 18 multiples of 526315789473684210 contains all 10 digits:

526315789473684210 x  1 =  526315789473684210
526315789473684210 x  2 = 1052631578947368420
526315789473684210 x  3 = 1578947368421052630
526315789473684210 x  4 = 2105263157894736840
526315789473684210 x  5 = 2631578947368421050
526315789473684210 x  6 = 3157894736842105260
526315789473684210 x  7 = 3684210526315789470
526315789473684210 x  8 = 4210526315789473680
526315789473684210 x  9 = 4736842105263157890
526315789473684210 x 10 = 5263157894736842100
526315789473684210 x 11 = 5789473684210526310
526315789473684210 x 12 = 6315789473684210520
526315789473684210 x 13 = 6842105263157894730
526315789473684210 x 14 = 7368421052631578940
526315789473684210 x 15 = 7894736842105263150
526315789473684210 x 16 = 8421052631578947360
526315789473684210 x 17 = 8947368421052631570
526315789473684210 x 18 = 9473684210526315780

The 19th multiple, alas, is 9999999999999999990.

A Book Toilet

den wolsack book toilet

In 1772, wool merchant François Adrien Van den Bogaert commissioned a garden pavilion for Den Wolsack, his house in Antwerp. On the first floor is a bibliophile’s lavatory, in which the bowl is concealed in a fancifully rendered stack of books.

The volumes on the surrounding shelves aren’t real; they’re made of wood covered with leather.

(Thanks, Serge.)

Mementos

https://www.reddit.com/r/BeAmazed/comments/1igjigr/leonce_evrard_is_a_skilled_marble_worker_he_was/

At midday each June 21, a shaft of light pierces the roof of a mausoleum in Brussels’ Laeken Cemetery and creates a heart of light.

It’s not clear whether this was deliberate. The tomb’s occupants, Louise Flignot and Léonce Evrard, died in 1916 and 1919, and the mausoleum was not built until 1920. Its designer, one Georges deLarabrie, is not known to have produced any other work, and the planning documents don’t mention the heart.

When Sir Lawrence Tanfield died in 1625, his wife composed this inscription for their joint monument at Burford in Oxfordshire:

Here shadows lie
Whilst earth is sadd,
Still hopes to die
To him she hadd.
In bliss is hee
Whom I loved best;
Thrice happy shee
With him to rest.

So shall I bee
With him I loved,
And he with mee
And both us blessed.
Love made me poet,
And this I writt;
My heart did do it,
And not my wit.

See Workaround, Reunion, and Early Arrival.