Articles tagged with Plane Geometry
A team of mathematicians from TU Wien has developed a technique to calculate flat grids that can be unfolded into desired three-dimensional shapes. The method uses findings in differential geometry and has been successfully tested in practice, resulting in stable and structurally sound 3D structures with good static properties.
Scientists at Princeton University have created an electronic array that simulates particle interactions in a hyperbolic plane, a geometric surface where space curves away from itself at every point. This innovation could enable new investigations in quantum mechanics and aid the design of new materials.
Zilin Jiang and Alexandr Polyanskii have proved László Fejes Tóth's zone conjecture, solving a 44-year-old problem in discrete geometry. The proof shows that a unit sphere can be covered with zones of combined width π, enabling new problems to be formulated and having practical applications in coding, data transmission, and logistics.
GeoS uses a combination of computer vision and natural language processing to solve geometry questions. It achieved an SAT score of 500 out of 800, equivalent to the average test score for 2015.
Research by Iris Van Gulik found that pupils who learned proofs in plane geometry through the history of non-Euclidean geometry gained a deeper understanding. The method also led to higher motivation among pupils. In contrast, teaching methods focused on historical development were less successful.