A simple and surprisingly effective illusion by Lisbon anamorphosis specialists Sonhos com Dimensão.
A simple and surprisingly effective illusion by Lisbon anamorphosis specialists Sonhos com Dimensão.
Gary Foshee presented this puzzle at the 2010 Gathering for Gardner:
I have two children. One is a boy born on a Tuesday. What is the probability I have two boys?
The first thing you think is ‘What has Tuesday got to do with it?’ Well, it has everything to do with it.
He proposed the answer 13/27, with this reasoning:
There are 14 equally likely possibilities for a single birth — (boy, Tuesday), (girl, Sunday), and so on.
If all we knew were that Foshee had two children, then it would seem that there are 142 = 196 equally likely possibilities as to their births.
But we know that at least one of his children is a (boy, Tuesday), and only 27 of the 196 outcomes meet this criterion. (There are 14 cases in which the (boy, Tuesday) is the firstborn child and 14 in which he’s born second, and we must remove the single case in which he’s counted twice.)
Of those 27 possibilities, 13 include two boys — 7 with (boy, Tuesday) as the first child and 7 with (boy, Tuesday) as the second child, and we subtract the one in which he’s counted twice. That, Foshee says, gives the answer 13/27.
This generated a lot of discussion when it appeared — unfortunately because the meaning of Foshee’s question is open to interpretation. See the end of this New Scientist article and the comments on Columbia statistician Andrew Gelman’s blog.
Dark Matter (2014), by the artistic collaborative Troika, manages to be a circle, a hexagon, and a square all at once.
The same group had created Squaring the Circle a year earlier.

If I roll three dice and multiply the three resulting numbers together, what is the probability that the product will be odd?
American furniture artist Wendell Castle’s 1978 Chair With Sports Coat is really neither — it’s an eye-deceiving sculpture carved from maple.

In 1895 French writer Georges Polti drew up a list of every dramatic situation that might arise in a story or performance, based on an earlier list drawn up by Venetian playwright Carlo Gozzi. They number only 36 — Polti listed the elements necessary for each:
Each situation has its variations; for example, The Count of Monte Cristo is a Revenge for a False Accusation, a variation on the Crime Pursued by Vengeance; and Great Expectations is a Life Sacrificed for the Happiness of a Relative or Loved One, a variation on Self-Sacrifice for Kindred.
“Van Gogh Observes” by Joe Fafard. Found outside Mayberry Fine Art in downtown Toronto. from r/Damnthatsinteresting
This sculpture, by Canadian artist Joe Fafard, has been scrutinizing passersby on Dundas Street in Toronto.
The principle is somewhat the same as Binary Arts’ mistrustful dragon.

A puzzle by Joseph Horton, from MIT Technology Review, January-February 1999:
If the sun takes two minutes to set, what angle does it subtend from Earth?

In 1759, ghostly rappings started up in the house of a parish clerk in London. In the months that followed they would incite a scandal against one man, an accusation from beyond the grave. In this week’s episode of the Futility Closet podcast we’ll tell the story of the Cock Lane ghost, an enduring portrait of superstition and justice.
We’ll also see what you can get hit with at a sporting event and puzzle over some portentous soccer fields.

hortulan
adj. of or belonging to a garden
micacious
adj. sparkling, shining
bumfuzzle
v. to astound or bewilder
asomatous
adj. having no material body
Artist Gary Drostle designed this trompe l’oeil mosaic for a public garden in Croydon in 1996.
He calls it “the ideal low maintenance fishpond.”