All articles tagged with #geometry
Originally Published 14 days ago — by WIRED
The article explains how the concept of manifolds, introduced by Bernhard Riemann, revolutionized the understanding of space in mathematics and physics, enabling the study of complex, higher-dimensional spaces and playing a crucial role in fields like general relativity, data analysis, and dynamical systems.
Originally Published 19 days ago — by Pinkbike
The Yeti LTe eMTB impresses with its exceptional six-bar suspension system, well-rounded geometry, and versatile adjustability, making it a top performer in descending and climbing capabilities despite its weight. It features a high-end build, a powerful Bosch motor, and an 800Wh battery, offering a confident and adaptable ride for various terrains. However, it comes at a premium price and some minor maintenance considerations.
Originally Published 2 months ago — by Phys.org
A new study proposes that particle mass and fundamental forces could originate from the geometry of hidden extra dimensions, specifically through evolving seven-dimensional shapes called G₂-manifolds, potentially eliminating the need for the Higgs boson in explaining mass.
Originally Published 2 months ago — by Good News Network
Two mathematicians have disproved a 300-year-old shape property, known as the Rupert property, by discovering a shape called the Noperthedron that cannot pass through itself regardless of tilting or drilling, challenging long-held assumptions in geometric topology.
Originally Published 2 months ago — by Quanta Magazine
Research on over 50 shark species shows they follow a two-thirds scaling law in surface area and volume, suggesting fundamental constraints on evolution related to heat exchange, metabolism, or development. This finding supports the idea that biological forms may be governed by geometric principles, with potential implications for understanding evolution and practical applications in medicine and veterinary science.
Originally Published 2 months ago — by ZME Science
Mathematician Richard Schwartz has solved a 50-year-old puzzle about the minimal size of a developable Möbius strip, establishing that its aspect ratio must be greater than √3 (about 1.73) to avoid collapsing, and opening new questions about twisted strips and their properties.
Originally Published 3 months ago — by Quanta Magazine
A mathematician at Cornell has discovered a surprising connection between origami patterns and the amplituhedron, a geometric shape that encodes particle interaction probabilities, leading to a proof that the shape can be decomposed into simpler parts, bridging a gap between physics and paper folding mathematics.
Originally Published 3 months ago — by Pinkbike
Mike Kazimer reviews the Specialized Chisel FS, highlighting its modern geometry, lightweight aluminum frame, and versatile suspension setup, making it a fun and capable cross-country bike suitable for both racing and longer rides.
Originally Published 3 months ago — by NPR
The date 9/16/25 is a rare mathematical coincidence, representing a Pythagorean triple (3, 4, 5) with all numbers being perfect squares, and the full year 2025 also being a perfect square, celebrated for its mathematical beauty and significance.
Originally Published 4 months ago — by Pinkbike
The 2025 Knolly Warden is a highly specialized, long, low, and slack downhill bike with unique geometry and suspension designed for aggressive terrain, particularly steep and rough trails. While it excels in traction and stability on challenging descents, its handling can be awkward, especially on climbs and technical sections, requiring careful setup and cockpit adjustments. Best suited for experienced riders targeting steep, technical terrain, the Warden offers impressive grip and composure but demands a tailored setup to perform optimally.
Originally Published 6 months ago — by Phys.org
Researchers have developed the world's first monostable tetrahedron, a shape that always lands on the same side, which could improve lunar lander designs by enabling them to self-right after falling over, addressing a long-standing mathematical and engineering challenge.
Originally Published 1 year ago — by ScienceAlert
Mathematician Jineon Baek from Yonsei University has potentially solved the long-standing 'moving sofa problem,' which seeks to determine the largest two-dimensional shape that can navigate an L-shaped corner in a corridor. Baek's 100-page proof confirms that the maximum area for such a sofa is 2.2195 units, aligning with Joseph Gerver's 1992 proposal. This solution, yet to be peer-reviewed, could be the definitive answer to this geometric puzzle, aiding in better furniture design decisions.
Originally Published 1 year ago — by Livescience.com
Mathematician Jineon Baek has potentially solved the "sofa problem," a 60-year-old mathematical puzzle about the largest sofa shape that can navigate a right-angled hallway corner. Baek's solution, posted on ArXiv, confirms that the maximum area for such a sofa is 2.2195 units, aligning with Joseph Gerver's 1992 lower bound. The proof, which involves complex geometry and movement calculations, awaits peer review to confirm its optimality.
Originally Published 1 year ago — by ScienceAlert
A recent study explores the role of a simple chiral shape called the sphinx in understanding the prevalence of left- and right-handedness in biology. Researchers used computer models to investigate how sphinx tiles, based on triangles, interact in different arrangements. The study revealed that even in symmetrical systems, sphinxes of the same chirality tend to cluster together, shedding light on the emergence of chiral patterns. Understanding these geometric patterns could have implications for various scientific fields, from virus structure to the origins of molecular asymmetry.
Originally Published 1 year ago — by Pinkbike.com
The Raaw Madonna V3 maintains its reputation as a tough and reliable enduro bike with its third version, featuring a 160mm travel aluminum frame with 29" wheels and various adjustability options. The bike's geometry, suspension design, and technical performance make it a potent descender, excelling in steep and rugged terrain. With excellent traction and plenty of adjustments for fine-tuning, the Madonna V3 offers a solid and well-executed mountain biking experience.