Results 21 to 30 of about 14,077 (306)
Combinatorial and Geometric Methods in Topology [PDF]
Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron, we will describe the central role played by hyperbolic geometry within three-dimensional topology.
Petronio, Carlo +2 more
openaire +2 more sources
LINE SEGMENTS WHICH ARE UNIONS OF TESSELLATION EDGES
Planar tessellation structures occur in material science, geology (in rock formations), physics (of foams, for example), biology (especially in epithelial studies) and in other sciences.
Richard Cowan, Viola Weiss
doaj +1 more source
Cellular structures in Topology [PDF]
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini +4 more
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Topological Multi-groups and Multi-fields [PDF]
Topological groups, particularly, Lie groups are very important in differential geometry, analytic mechanics and theoretical physics. Applying Smarandache multi-spaces, topological spaces, particularly, manifolds and groups were generalized to ...
MAO, Linfan
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AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]
A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting.
Linfan Mao, MAO, LINFAN
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THE CHARACTER OF PLANAR TESSELLATIONS WHICH ARE NOT SIDE-TO-SIDE
This paper studies stationary tessellations and tilings of the plane in which all cells are convex polygons. The focus is on the class of tessellations which are not side-to-side.
Richard Cowan, Christoph Thäle
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A new class of non facet-to-facet random tessellations in three-dimensional space is introduced -- the so-called column tessellations. The spatial construction is based on a stationary planar tessellation; each cell of the spatial tessellation is a prism
Linh Ngoc Nguyen +2 more
doaj +1 more source
A Bayesian method for concurrently designing molecules and synthetic reaction networks
In the last few years, de novo molecular design using machine learning has made great technical progress but there are still challenges to be overcome in their practical applications.
Qi Zhang +4 more
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Canonical triangulations of Dehn fillings [PDF]
Every cusped, finite-volume hyperbolic three-manifold has a canonical decomposition into ideal polyhedra. We study the canonical decomposition of the hyperbolic manifold obtained by filling some (but not all) of the cusps with solid tori: in a broad ...
Schleimer, Saul, Guéritaud, François
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Abstract Topological Data Structure for 3D Spatial Objects
In spatial science, the relationship between spatial objects is considered to be a vital element. Currently, 3D objects are often used for visual aids, improving human insight, spatial observations, and spatial planning.
Uznir Ujang +2 more
doaj +1 more source

