In 1972, John Berger published a book called G.
In 1997, Fujio Hanyu edited a book called Hepatopancreatoduodenectomy.
It also covers hepatoligamentopancreatoduodenectomy.
In 1972, John Berger published a book called G.
In 1997, Fujio Hanyu edited a book called Hepatopancreatoduodenectomy.
It also covers hepatoligamentopancreatoduodenectomy.
Anton Pavlis of Guelph, Ontario, devised this monstrous alphametic, which has 41 addends. If each letter consistently stands for a particular digit, what sum does this expression denote?
SO MANY MORE MEN SEEM TO SAY THAT THEY MAY SOON TRY TO STAY AT HOME SO AS TO SEE OR HEAR THE SAME ONE MAN TRY TO MEET THE TEAM ON THE MOON AS HE HAS AT THE OTHER + TEN ----- TESTS
Don’t even try to solve it — here’s the answer:
31 2764 2180 206 3002 91 374 9579 9504 274 3116 984 91 3974 79 5120 31 73 91 300 18 5078 950 3720 160 276 984 91 2009 950 9072 16 950 2116 73 50 573 79 950 19508 + 906 ----- 90393
(From the Journal of Recreational Mathematics, via Crux Mathematicorum, April 1983.)

Played on an unbounded chessboard, “infinite chess” feels familiar but can lead to some strange situations. In this position White threatens to give checkmate by advancing his rook one square. Black can avoid this fate by throwing his rook any finite distance to the north, as shown. Now when White’s rook gives check, Black’s king has room to retreat up the board. But it’s still curiously doomed: By advancing alternately his queen and then his rook by two squares each, repeatedly, White can now harry the Black king indefinitely northward after the departed rook. Because each of White’s moves gives check, Black’s king has no time to do anything but flee, and when it fetches up against the far-flung rook White will finally give checkmate.
Thus, in the diagramed position with Black to move, it’s accurate to say that White has a forced checkmate but that there’s no bound on the number of moves it may take to deliver it.
(C.D.A. Evans and Joel David Hamkins, “Transfinite Game Values in Infinite Chess,” arXiv preprint arXiv:1302.4377 [2013].)
The dwarf reed snake escapes predators by leaping into a continuous cartwheel that’s four times as fast as slithering.
“The acrobatics involved in rolling are a fascinating example of how much snakes can accomplish with their limbless bodies,” Toho University ecologist Yosuke Kojima told the New York Times.
“It’s nice to be surprised by weird snake behaviour occasionally,” said herpetologist Frank Burbrink. “It is truly remarkable and probably fairly arresting for any predators that encounter these little guys.”
(Yosuke Kojima, et al., “Locomotor Kinematics and Head Stabilization in Rolling Snakes,” Current Biology 36:20 [Oct. 19, 2026], R1061-R1063. Thanks, Sharon.)
A “hymn to science,” by English physician Mark Akenside, from the Gentleman’s Magazine, 1739:
Science! thou fair effusive ray
From the great source of mental day,
Free, generous, and refin’d!
Descend with all thy treasures fraught,
Illumine each bewilder’d thought,
And bless my lab’ring mind.
But first with thy resistless light,
Disperse those phantoms from my sight,
Those mimic shades of thee;
The scholiast’s learning, sophist’s cant,
The visionary bigot’s rant,
The monk’s philosophy.
O! let thy powerful charms impart
The patient head, the candid heart,
Devoted to thy sway;
Which no weak passions e’er mislead,
Which still with dauntless steps proceed
Where Reason points the way.
Give me to learn each secret cause;
Let number’s, figure’s, motion’s laws
Reveal’d before me stand;
These to great Nature’s scenes apply,
And round the globe, and thro’ the sky,
Disclose her working hand.
Next, to thy nobler search resign’d,
The busy, restless, human mind
Thro’ ev’ry maze pursue;
Detect Perception where it lies,
Catch the ideas as they rise,
And all their changes view.
Say from what simple springs began
The vast, ambitious thoughts of man,
Which range beyond control;
Which seek Eternity to trace,
Dive thro’ th’ infinity of space,
And strain to grasp the whole.
Her secret stores let Memory tell,
Bid Fancy quit her fairy cell,
In all her colours drest;
While prompt her sallies to control,
Reason, the judge, recalls the soul
To Truth’s severest test.
Then launch thro’ Being’s wide extent;
Let the fair scale, with just ascent,
And cautious steps, be trod;
And from the dead, corporeal mass,
Thro’ each progressive order pass
To Instinct, Reason, God.
There, Science! veil thy daring eye;
Nor dive too deep, nor soar too high,
In that divine abyss;
To Faith content thy beams to lend,
Her hopes t’ assure, her steps befriend,
And light her way to bliss.
Then downwards take thy flight agen;
Mix with the policies of men,
And social nature’s ties:
The plan, the genius of each state,
Its interest and its pow’rs relate,
Its fortunes and its rise.
Thro’ private life pursue thy course,
Trace every action to its source,
And means and motives weigh:
Put tempers, passions in the scale,
Mark what degrees in each prevail,
And fix the doubtful sway.
That last, best effort of thy skill,
To form the life, and rule the will,
Propitious pow’r! impart:
Teach me to cool my passion’s fires,
Make me the judge of my desires,
The master of my heart.
Raise me above the vulgar’s breath,
Pursuit of fortune, fear of death,
And all in life that’s mean.
Still true to reason be my plan,
Still let my action speak the man,
Thro’ every various scene.
Hail! queen of manners, light of truth;
Hail! charm of age, and guide of youth;
Sweet refuge of distress:
In business, thou! exact, polite;
Thou giv’st Retirement its delight,
Prosperity its grace.
Of wealth, pow’r, freedom, thou! the cause;
Foundress of order, cities, laws,
Of arts inventress, thou!
Without thee what were human kind?
How vast their wants, their thoughts how blind!
Their joys how mean! how few!
Sun of the soul! thy beams unveil!
Let others spread the daring sail,
On Fortune’s faithless sea;
While undeluded, happier I
From the vain tumult timely fly,
And sit in peace with thee.

With a pair of compasses, draw a circle on a plane. Then, without changing the width of the compasses, draw a circle on a sphere.
Surprisingly, the areas of the planar disk and the spherical cap are equal.
It is difficult to resist the conclusion that, to many men, there is something enjoyable in the sufferings of women, and therefore a propensity to cling to any theological or ethical code which makes it their duty to suffer patiently, even when there is no valid reason for not avoiding pain. The harm that theology has done is not to create cruel impulses, but to give them the sanction of what professes to be a lofty ethic, and to confer an apparently sacred character upon practices which have come down from more ignorant and barbarous ages.
— Bertrand Russell, Religion and Science, 1935
A curiosity from DePauw University mathematician Underwood Dudley: Arrange the six permutations of 1, 2, 3 in ascending order and find the differences of successive pairs:
123 132 213 231 312 321
9 81 18 81 9
The top row totals 1,332, the bottom row 198. Arrange the first nine digits of π in triplets and add 198 to each:
314 159 265 198 198 198 --- --- --- 512 357 463
The three sums total 1,332.
(Underwood Dudley, “What to Do When the Trisector Comes,” Mathematical Intelligencer 5:1 [March 1983], 20-26, via Martin Gardner’s Whys & Wherefores, 1989.)
A puzzle from Alcuin of York’s Propositiones ad Acuendos Juvenes (Problems to Sharpen the Young), 9th century:
“A man and his wife, each the weight of a loaded cart, who had two children each the weight of a small cart, needed to cross a river. However, the boat they came across could only carry the weight of one cart. Let him devise [a way] of crossing in order that the boat should not sink.”
(The boat can bear the weight of two children or one adult.)
In 1982, Rob Thomson and William Palmer set out to convert the Oxford Book of English Verse into “non-emotive, non-sexist, modern language.” They began with the opening lines of Wordsworth’s “The Solitary Reaper”:
Behold her, single in the field,
Yon solitary Highland Lass!
Reaping and singing by herself;
Stop here, or gently pass!
Look at solo Ms McPherson,
In her field, a single person,
Cutting corn with vocal tune,
Stop, or leave her all alone.
There’s no sign they got any further.