On the non-generic Tzitzeica-Johnson's Configuration
Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a Tzitzeica-Johnson configuration allow us to analyse the Euclidean or the non-Euclidean character of ...
Boskoff Wladimir G. +2 more
doaj +1 more source
DID LOBACHEVSKY HAVE A MODEL OF HIS "IMAGINARY GEOMETRY"? [PDF]
The invention of non-Euclidean geometries is often seen through the optics of Hilbertian formal axiomatic method developed later in the 19th century. However such an anachronistic approach fails to provide a sound reading of Lobachevsky's geometrical ...
Rodin, Andrei
core
Linear Isometries on Pseudo-Euclidean Space [PDF]
In this paper, we characterize curvature of s-line, particularly, Smarandachely embedded graphs and determine linear isometries on (Rn, μ)
Mao, Linfan, Linfan Mao
core +1 more source
Multimodal Data‐Driven Microstructure Characterization
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
The Topological Reading of Ambiances in the Built Environment: The New Methodology for the Analysis of the Luminous Ambiance in the Museum Space [PDF]
Daylight is currently at the centre of discourse on architectural space. The definition of architectural space takes essence from Euclidean geometry related to metric dimensions.
Saraoui Selma +3 more
doaj +1 more source
Dynamic Current Routing in Conductive Liquid Crystal Elastomers for Complex Deformation Actuators
This work introduces a novel actuation control strategy in which electrical stimulation generates localized Joule heating in conductive liquid crystal elastomer (LCE) surfaces, enabling complex 3D deformations from a single homogeneous surface without preprogramming.
Gloria PouWai Lei +2 more
wiley +1 more source
On the Geometric Aspects of Architectural Compositions
We consider different aspects of the application of non-Euclidean geometries in architectural compositions. The main attention is put on Lobachevski's and Mandelbrot's fractal geometry.
Aren Nahapetyan, Linda Khachatryan
doaj +1 more source
The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds [PDF]
In this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of ...
José Maria Filardo Bassalo +2 more
doaj +3 more sources
Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao +3 more
wiley +1 more source
Auto‐Routing Fluidic Printed Circuit Boards
This work introduces (STREAM) software tool for routing efficiently advanced macrofluidics, an open‐source software tool for automating the design of 3D‐printable fluidic circuit boards. STREAM streamlines tube routing and layout, enabling the rapid fabrication of fluidic networks for soft robotics, lab‐on‐a‐chip devices, microfluidics, and biohybrid ...
Savita V. Kendre +3 more
wiley +1 more source

