Results 1 to 10 of about 10,435,760 (324)
Liquid crystal director fields in three-dimensional non-Euclidean geometries [PDF]
New Journal of Physics, 2020 This paper investigates nematic liquid crystals in three-dimensional curved space, and determines which director deformation modes are compatible with each possible type of non-Euclidean geometry. Previous work by Sethna et al showed that double twist is
Jean-François Sadoc +2 more
doaj +2 more sources
Decorated Discrete Conformal Equivalence in Non-Euclidean Geometries [PDF]
Discrete & Computational Geometry, 2023 We introduce decorated piecewise hyperbolic and spherical surfaces and discuss their discrete conformal equivalence. A decoration is a choice of circle about each vertex of the surface.
A. Bobenko, Carl O. R. Lutz
semanticscholar +1 more source
NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]
Neutrosophic Sets and Systems, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
doaj +1 more source
Real Examples of NeutroGeometry & AntiGeometry [PDF]
Neutrosophic Sets and Systems, 2023 For the classical Geometry, in a geometrical space, all items (concepts, axioms, theorems, etc.) are totally (100%) true. But, in the real world, many items are not totally true. The NeutroGeometry is a geometrical space that has some items that are only
Florentin Smarandache
doaj +1 more source
Illuminating high school students with some interesting non-euclidean geometries in the plane
International Journal of Statistics and Applied Mathematics, 2023 Global trends in mathematics education show that modern teaching methods are rapidly evolving at the national, regional, and global levels. In this regard, teaching non-Euclidean geometry concepts in schools can be essential in developing students ...
A. Kurudirek
semanticscholar +1 more source
THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are ...
T. Bellone, F. Fiermonte, L. Mussio
doaj +1 more source
Asymptotic normality for random polytopes in non-Euclidean geometries [PDF]
Transactions of the American Mathematical Society, 2019 Asymptotic normality for the natural volume measure of random polytopes generated by random points distributed uniformly in a convex body in spherical or hyperbolic spaces is proved.
Florian Besau, C. Thäle
semanticscholar +1 more source
Algorithmic Aspects of the Log-Laplace Transform and a Non-Euclidean Proximal Sampler [PDF]
Annual Conference Computational Learning Theory, 2023 The development of efficient sampling algorithms catering to non-Euclidean geometries has been a challenging endeavor, as discretization techniques which succeed in the Euclidean setting do not readily carry over to more general settings.
Sivakanth Gopi +4 more
semanticscholar +1 more source
The Digital Paradigm in Contemporary Architecture
img journal, 2023 The architecture of the 20th century has been largely affected by changes in the field of technology. In particular, the evolution of digital representation has led to new visions of contemporary architectural space. Expressive freedoms, which in the pre-
Domenico Mediati
doaj +1 more source