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Dr. Shapiro's Puzzle of the Day

Today's Puzzle

Wednesday, May 12
At breakfast each person in Tanya's family had a full cup of coffee with milk, mixed to his or her favorite proportions. Everyone's cup is the same size. Given that Tanya drank one-quarter of all the milk and one-sixth of all the coffee, what was the ratio of milk to coffee in Tanya's cup?

   


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Yesterday's Puzzle + Solution

On the Japanese calendar at left, I have covered up 24 instances of the same kanji (character) with blue boxes. These usages of the kanji refer to particular periods of time, but the same kanji can also refer to what object in space?

Hint The only language you need to know for this puzzle is English.

Bonus Puzzle If you can read kanji—or Chinese!—then today's puzzle may not be much of a puzzle at all. Try this one instead. Why are these 12 kanji called ghost characters?
妛 挧 暃 椦 槞 蟐 袮 閠 駲 墸 壥 彁

Solution The kanji is used in two different ways on the calendar, to mean month and Monday. But just as in English, both of those words are derived from… the Moon!

As for the bonus puzzle: Even if you can read kanji, you should be puzzled by these 12 characters, because they are literally meaningless. In the 1970s, a committee produced a set of over 6000 kanji to be digitized for Japanese computer fonts. But they made a few mistakes, and ended up including 12 kanji that (as far as anyone knows) had never been used before. Now that those kanji are available on computers worldwide, people have jokingly suggested various meanings for them, while scholars have investigated how the errors were made. Read the story.

Incidentally, English has had its own ghost words. A major dictionary was supposed to have an entry defining "D or d" as abbreviations for "density", but someone goofed, and the result was the word dord.

Congratulations to yesterday's solvers Tori, Alex Z., Max, Maddy, Nico, Nicholas, Yana, Anna K., Peter V., Bridget, Jacob C., Atticus, Jason, Graham, the Greggs, and Dr. Yetman. Thanks to everybody who made a guess!

About This Site

Though he now teaches mathematics, Dr. (né Mr.) Shapiro's first job in a K–12 school was as a lunch monitor in Davis, CA. It was there that he originated the Puzzle of the Day, even rewarding correct answers with tickets in denominations like "15 points" (though without a clear idea of how he'd ultimately redeem these). Dr. Shapiro's favorite puzzle from this pre-professional era was "Tell me the location of the beehive on this campus."

Ten years later, Dr. Shapiro revived Puzzle of the Day at Proof School, writing each day's puzzle on a name tag. After 600 puzzles or so, he was just starting to feel normal about students reading his chest all the time when campus closed and the puzzle, like the rest of our lives, moved online. New puzzles are posted daily on school days.

Want to catch up on old PotDs? There's an archive currently containing puzzles from March 2020 to March 2021.