The Pup Tent Problem

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In 1980 the Educational Testing Service offered this question on an aptitude test:

In pyramids ABCD and EFGHI shown above, all faces except base FGHI are equilateral triangles of equal size. If face ABC were placed on face EFG so that the vertices of the triangles coincide, how many exposed faces would the resulting solid have?

(A) Five (B) Six (C) Seven (D) Eight (E) Nine

Which is correct?

Click for Answer

Three-Sided Story

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Thomas Tresham spent 15 years in prison for his Catholicism, and when he got out in 1593 he had a bit of a chip on his shoulder. Rather than convert to Protestantism, he designed the Rushton Triangular Lodge to reflect his belief in the Holy Trinity.

Each of the three-sided building’s three walls is 33 feet long and sports three gables, three-sided windows, a trio of gargoyles, and a 33-letter Latin inscription. Even the chimney is triangular.

Lest anyone miss the point, Tresham had the front door inscribed Tres testimonium dant. It means “The number three bears witness.”

Pan King

Excerpts from the reviews of James William Davison, music editor of the London Times from 1846 to 1878:

  • “Perhaps a more overrated man never existed than this same Schubert.”
  • “[Schumann is] the very opposite of good.”
  • “We should rather be inclined to class [Berlioz] a daring lunatic than as a sound, healthy musician.”
  • “Never was a writer of operas so destitute of real invention, so destitute in power or so wanting in the musician’s skill [as Verdi].”
  • “The entire works of Chopin present a motley surface of ranting hyperbole and excruciating cacophony.”
  • “[Wagner] is such queer stuff that criticism would be thrown away upon it.”
  • “He who imagines that, at any time within the last half century Franz Liszt was a musical composer must entertain either very odd notions of art or must be, qua music, an absolute ignoramus.”

But: “[William Sterndale Bennett] lives with us in his works. The music he created conquered, in some sense, the power of death.”

A for Effort

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Prospector William Schmidt was overjoyed when he struck gold on California’s Copper Mountain, but he faced one problem: He was on the north side of the mountain, and the road to the smelter was on the south side.

So he dug a tunnel.

He started in 1906, at age 35, working with a pick, a 4-pound hammer, a hand drill, and dynamite. When he finally broke into daylight on the mountain’s south side, it was 1938 and he was 66 years old. He had single-handedly dug a tunnel 1,872 feet long, displacing 2,600 cubic yards of granite.

Alas, success had to be its own reward. While Schmidt had been digging, rail and road links had been built around the mountain — so the tunnel was unnecessary.

Epic Verse

The world’s longest handwritten poem is nearly 1 kilometer long. Unveiled by French notary Patrick Huet in 2006, Pieces of Hope to the Echo of the World comprises 7,547 verses.

All that length is necessary — the poem is one long acrostic. The initial letters of its lines spell out the complete Universal Declaration of Human Rights.

R.I.P.

Here lies the body of Thomas Woodhen,
The most loving of husbands and amiable of men.

N.B.–His name was Woodcock, but it wouldn’t rhyme.

Erected by his loving widow.

From Epitaphiana: or, The Curiosities of Churchyard Literature, 1873.

Dog Sprawl

The largest city in human history is modern Tokyo, with a population of around 35 million. That’s a pretty big mammal colony, but it’s nowhere near the record.

In 1901 scientists discovered a “town” of 400 million prairie dogs in Texas. It covered more than 23,000 square miles — an area larger than Costa Rica.