Friday linkdump: Three stories about cubes

IMG_1393.JPGOK, two of them are about dice.

Your Uncle Dudley’s Knucklebones appears to be the online gallery of a dice collector (with a casually Google-resistant identity). The mysterious blog contains only two posts, but the enormous latter entry contains many dozens of individual photographs.

The dice lay against a ruler on a white background, looking more like bullets in an autopsy, removed from their police report. The site offers no textual explanation of where any of the dice came from, or what purpose the more oddly specialized ones may have served. But if you’re like me, you’ll find delight in imagining the designs these little rolling-bones once played a part of. (Granted, the aim of the rather NSFW dice towards the end seem plain enough…)

I was interested to see that the first post, dedicated to the display of a single prototype 60-sided die design, mentions the fabbers at We’ve mentioned their contributions to the games-and-puzzles world before.

I have not read The Bones, but I probably should. It’s a collection of essays on dice edited by Will Hindmarch, and my fellow tabletop-game aficionados will recognize many of the collected author’s names — Costikyan, Kovalic, Selinker, the increasingly inevitable Wheaton, and many others. A print book is currently for sale, with an ebook edition in the works.

(Bonus aside: for a delightful coffee-table book about these most venerable gaming tools, Ricky Jay’s Dice: Deception, Fate & Rotten Luck, which pairs smart text on the history and culture of dice with truly beautiful and haunting photographs of our cubical friends by Rosamond Purcell. It’s still in print, and findable through the book-oracle of your choice.)

Finally, allow me to share with you the good news that God’s Number is 20.

With about 35 CPU-years of idle computer time donated by Google, a team of researchers has essentially solved every position of the Rubik’s Cube, and shown that no position requires more than twenty moves.

[ … ]

One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God’s Algorithm. The number of moves this algorithm would take in the worst case is called God’s Number. At long last, God’s Number has been shown to be 20.

It took fifteen years after the introduction of the Cube to find the first position that provably requires twenty moves to solve; it is appropriate that fifteen years after that, we prove that twenty moves suffice for all positions.

I don’t pretend to fully understand exactly how this solution came about, despite the cogent explanations on that page, and its many interesting links to other Cube-fiends’ attempts at finding this elusive number, going all the way back to typewritten correspondence from 1981. But I am delighted to learn about such a vertiginous level of recreational puzzle solving — not solving the Cube, but solving a puzzle that’s made out of solutions to the Cube, a true meta-puzzle. All the better, I suppose, that I learn about it specifically because some folks have finally laid it safely to rest after nearly 30 years of shared effort. Less fundamentally frightening, that way.

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