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Möbius strip
The Möbius strip or Möbius band is a surface with only one side and only one boundary component. It has the mathematical property of being non-orientable. It is also a ruled surface. It was co-discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858. A model can easily be created by taking a paper strip and giving it a half-twist, and then merging the ends of the strip together to form a single strip. In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. The Möbius strip is therefore chiral, which is to say that it is "handed".
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Computers & Math News
January 17, 2026
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Jan. 17, 2026 Researchers have turned artificial intelligence into a powerful new lens for understanding why cancer survival rates differ so dramatically around the world. By analyzing cancer data and health system information from 185 countries, the AI model ...
Jan. 16, 2026 Humans pay enormous attention to lips during conversation, and robots have struggled badly to keep up. A new robot developed at Columbia Engineering learned realistic lip movements by watching its own reflection and studying human videos online. ...
Jan. 15, 2026 A new OLED design can stretch dramatically while staying bright, solving a problem that has long limited flexible displays. The breakthrough comes from pairing a highly efficient light-emitting material with tough, transparent MXene-based ...
Jan. 15, 2026 Foams were once thought to behave like glass, with bubbles frozen in place at the microscopic level. But new simulations reveal that foam bubbles are always shifting, even while the foam keeps its overall shape. Remarkably, this restless motion ...
Jan. 13, 2026 A generative AI system can now analyze blood cells with greater accuracy and confidence than human experts, detecting subtle signs of diseases like leukemia. It not only spots rare abnormalities but also recognizes its own uncertainty, making it a ...
Jan. 11, 2026 Scientists have unveiled a new way to capture ultra-sharp optical images without lenses or painstaking alignment. The approach uses multiple sensors to collect raw light patterns independently, then synchronizes them later using computation. This ...
Jan. 9, 2026 Stanford researchers have developed an AI that can predict future disease risk using data from just one night of sleep. The system analyzes detailed physiological signals, looking for hidden patterns across the brain, heart, and breathing. It ...
Jan. 7, 2026 Researchers have built a new platform that produces ultrashort UV-C laser pulses and detects them at room temperature using atom-thin materials. The light flashes last just femtoseconds and can be ...
Jan. 6, 2026 Scientists are learning to engineer light in rich, multidimensional ways that dramatically increase how much information a single photon can carry. This leap could make quantum communication more secure, quantum computers more efficient, and sensors ...
Jan. 6, 2026 Researchers have created microscopic robots so small they’re barely visible, yet smart enough to sense, decide, and move completely on their own. Powered by light and equipped with tiny computers, the robots swim by manipulating electric fields ...
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Jan. 7, 2026 Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that ...
Jan. 4, 2026 New research shows that AI doesn’t need endless training data to start acting more like a human brain. When researchers redesigned AI systems to better resemble biological brains, some models ...
Jan. 3, 2026 Scientists have developed molecular devices that can switch roles, behaving as memory, logic, or learning elements within the same structure. The ...
Dec. 31, 2025 A philosopher at the University of Cambridge says there’s no reliable way to know whether AI is conscious—and that may remain true for the foreseeable future. According to Dr. Tom McClelland, ...
Dec. 28, 2025 Researchers found that U.S. metal mines already contain large amounts of critical minerals that are mostly going unused. Recovering even a small fraction of these byproducts could sharply reduce ...
Dec. 26, 2025 A new microchip-sized device could dramatically accelerate the future of quantum computing. It controls laser frequencies with extreme precision while using far less power than today’s bulky ...
Dec. 26, 2025 Scientists in Japan have confirmed that ultra-thin films of ruthenium dioxide belong to a newly recognized and powerful class of magnetic materials called altermagnets. These materials combine the ...
Dec. 24, 2025 Researchers have created a new kind of 3D computer chip that stacks memory and computing elements vertically, dramatically speeding up how data moves inside the chip. Unlike traditional flat designs, ...
Dec. 23, 2025 A new discovery shows that messy, stray light can be used to clean up quantum systems instead of disrupting them. University of Iowa researchers found that unwanted photons produced by lasers can be ...
Dec. 22, 2025 A new AI developed at Duke University can uncover simple, readable rules behind extremely complex systems. It studies how systems evolve over time and reduces thousands of variables into compact ...