News
Scientists discover a strange hidden state in "sandwich" molecules
3+ day, 14+ hour ago (305+ words) "We were able to isolate an intermediate structure from our ruthenium complex formation reaction and characterize this with single-crystal X-ray diffraction. Surprisingly, we found the structure to be doubly ring-slipped," says Takebayashi. Ring-slippage happens when the number of atoms in…...
Monday Microsofty 79: The Last Digits in Fermat's Last Theorem
1+ week, 12+ hour ago (1134+ words) I get irritated when somebody multiplies two numbers and gets the wrong answer, and then says, "I'm bad at math." "That's an overstatement that gives them undeserved status. They are bad at arithmetic, which is a very specialized area of…...
Study proves the existence and solves the mystery of the rotating Kaleidocycles
1+ week, 4+ day ago (356+ words) Researchers derive exact formulae to show that rotating Kaleidocycles can always be built from six or more hinged tetrahedra Credit: M'bius kaleidocycle designed by Shizuo Kaji Although Kaleidocycles have been known for more than 50 years and are widely appreciated as…...
Kaleidocycle, its corresponding discrete curve, and semi-discrete K-surface [IMAGE] | Eurek Alert! Science News Releases
1+ week, 4+ day ago (56+ words) Kaleidocycle, its corresponding discrete curve, and semi-discrete K-surface (IMAGE) Eurek Alert! (Left) An example of 15-Kareidocycle. (Middle) 15-Kaleidocycle as a discrete curve. (Right) The semi-discrete K-surface obtained as its trajectory. Shota Shigetomi / Kyushu University More on this News Release Study…...
Fibonacci Structure in Harmonic Series Partitions " Less Wrong
1+ week, 6+ day ago (266+ words) A few years ago when I was in high school I was playing around with the harmonic series and noticed some correspondences to the Fibonacci sequence. My original observation was cute but the math it led to was genuinely satisfying....
Reverse engineering Mersenne Twister with Linear Algebra
2+ week, 1+ day ago (548+ words) The Mersenne Twister (MT) is a random number generator with good statistical properties but bad cryptographic properties. In buzzwords, it's a PRNG but not a CSPRNG. This post will show how the internal state of a MT generator can be…...
Quantum Metallurgy: How Electron Crystals Bend and Melt
2+ week, 4+ day ago (915+ words) In a groundbreaking exploration that blurs the boundary between classical materials science and quantum physics, researchers from the University of Michigan Engineering have revealed an elusive behavior of electron crystals'structures otherwise known as charge density waves (CDWs)'demonstrating their ability…...
They have created a molecule never before seen in nature with an extremely strange half-M'bius topology, and even the electrons behave in a very unusual way inside it
3+ week, 3+ day ago (950+ words) Home - Science - They have created a molecule never before seen in nature with an extremely strange half-M'bius topology, and even the electrons behave in a very unusual way inside it If you twist a strip of paper and tape the…...