Euclidean Geometry

FireANTs brings AI speed and geometric precision to medical imaging

FireANTs, an open-source algorithm, combines AI optimization and geometry to quickly match complex medical images. The new method can accomplish what took weeks in minutes, detecting subtle changes that signal disease or cognitive decline, making it practical for clinical practice.

SourceUniversity of Pennsylvania School of Engineering and Applied Science·JournalNature Communications·TypeData/statistical analysis·DateJun 9, 2026

‘Nature’s algorithm’ found in Chinese money plants

A team of scientists has found a naturally occurring Voronoi pattern in the Chinese money plant, which helps explain how plants create complex patterns on their leaves. This discovery sheds light on how plants solve problems in nature and may provide new insights into the math underlying evolution and development.

SourceCold Spring Harbor Laboratory·JournalNature Communications·DateMay 12, 2026

Peeking inside AI brains: Machines learn like us

A new study in Nature Communications found that AI models exhibit a geometric property called convexity, which helps humans form and share concepts. Convexity is also linked to the performance of AI models on specific tasks.

SourceTechnical University of Denmark·JournalNature Communications·DateJul 2, 2025

Davis Instruments Vantage Pro2 Weather Station

Davis Instruments Vantage Pro2 Weather Station offers research-grade local weather data for networked stations, campuses, and community observatories.

Ice-ray patterns: A rediscovery of past design for the future

A study discovers that traditional Chinese ice-ray lattice designs can provide unique stiffness and strength under asymmetric loads, offering an alternative to conventional gridshells. The research also explores the potential of integrating complex geometry into facade design and micro-scale material design.

SourceXi'an Jiaotong-Liverpool University·JournalFrontiers of Architectural Research·TypeComputational simulation/modeling·DateMar 20, 2024

New geometric deep learning model for detecting stroke lesions

A new geometric deep learning model called GFCN has been developed to detect stroke lesions in brain imaging scans. The model leverages rich geometric information to segment brain tissue and achieves higher segmentation performance than other neural network architectures.

SourceSPIE--International Society for Optics and Photonics·JournalJournal of Medical Imaging·DateJul 18, 2023

Non-Euclidean geometries for grid cells

Scientists developed a new model to simulate grid cells in non-Euclidean spaces, revealing heptagonal symmetry on a pseudospherical surface. This finding suggests that the brain may be able to encode non-conventional geometries and abstract spaces.

SourceInternational School of Advanced Studies (SISSA)·JournalInterface·DateMay 6, 2015

Apple iPhone 17 Pro

Apple iPhone 17 Pro delivers top performance and advanced cameras for field documentation, data collection, and secure research communications.