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Using the "Rubik's Cube Signature" (R'CS) program, 2 more positions at a distance of 25q have been discovered:

A team of engineers from Sony Computer Science Laboratories Inc. and the NeuroPiano Institute in Kyoto has developed a robotic exoskeleton that helps pianists improve their playing technique. The exoskeleton, worn on the hand, guides the musician's finger movements during training, which helps...

The longest personal name belonged to Hubert Blaine Wolfeschlegelsteinhausenbergerdorff Sr. His full name, registered in the Guinness Book of World Records, consists of 26 given names (one for each letter of the English alphabet) and an exceedingly long and meaningful surname. In total, the name...

Helps the user fill in the sticker colors correctly, reducing the amount of input by an average of 1/3 of the total number of colors. Operation of the intelligent digital code input program Catch-24: A slightly smarter version. The Catch-24 preliminary code is displayed as a progress bar.

The Catch-24 encoding was based on the quaternion multiplication table: where the units x(i), y(j), z(k) denote a 180° rotation along 3 axes, and the square root of the unit corresponds to a 90° rotation. Multiplication of quaternions means concatenation of rotations. We add "salts" (the...

I come to the conclusion that sooner or later engineering thought will create a cube with the same modern level of mechanics, where, as before, the central stickers will be colored, and the remaining 48 stickers (3x3x3) will be able to change their color programmatically. There will be no need...

Every cube state reachable by legal moves can always be represented by an even number of swaps, and at the same time cannot be represented by an odd number of swaps (the two are mutually exclusive). Since the right cube (located on the right in the image) has an odd number of swaps ("one" swap)...

"How about sending me a fourth gimbal for Christmas?" - Michael "Mike" Collins after the Lunar Module had landed. Applying multiple rotations is equivalent to applying a single rotation whose quaternion is equal to the product of the quaternions of the corresponding rotations. The Rubik's Cube...

1. It's not about the found sequel to Joseph Heller's absurdist novel Catch-22, which ranks #11 on the Top 200 Novels in the United Kingdom list. 2. It's not about the music album «You Can't See Me» by wrestler John Cena, the author of the eponymous gesture. 3. And it's not about the "You Can't...

xyzzy said: The WCA regulations state the scrambling requirements in terms of uniform distributions (4b3: "equal probability for each state"), but there is good reason to prefer to use the stationary distribution instead of the uniform distribution if these happen to differ: the stationary...

I have never understood why the rules/standards for counting turns follow the "range of motion metric" and not the "efficiency metric". (c) Anthony Snyder. The efficiency metric implies physically minimal time expenditures for executing a solution. Here we can agree with K. Marx that "any...