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Steinitz theorems for simple orthogonal polyhedra [PDF]
We define a simple orthogonal polyhedron to be a three-dimensional polyhedron with the topology of a sphere in which three mutually-perpendicular edges meet at each vertex.By analogy to Steinitz's theorem characterizing the graphs of convex polyhedra, we
David Eppstein, Elena Mumford
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Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra
We propose a method of constructing analytical, closed-form expressions for electrostatic/Newtonian potentials of non-uniform polyhedral bodies, in which the density distributions are polynomials of coordinates.
Alexey Vladimirovich Nenashev +1 more
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Mathematics is generally considered a complex subject by the majority of students in Indonesia. Students tend to rely on simple learning strategies such as memorizing formulas.
Nur Izzati, Nurul Wahyuni, Bony Irawan
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The novel hollowed Ni-Co layered double hydroxide polyhedron (H-(Ni, Co)-LDHP) is synthesized via a template-sacrificing approach using ZIF-67 as template. The morphology, crystallinity, porous texture, and chemical state of H-(Ni, Co)-LDHP are examined.
Youjun Lu, Yingjie Du, Haibo Li
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SOME MORPHOLOGICAL ASPECTS OF FORM IN REGULAR DISCRETE STRUCTURES IN DESIGN
Some aspects of geometric form generation in regular discrete structures for different spheres of design and architecture are elaborated and the main promising directions/trends in their development are identified.
Korotich Andrey V.
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CFD-DEM Simulation of Fluidization of Polyhedral Particles in a Fluidized Bed
Fluidization of non-spherical particles is a common process in energy industries and chemical engineering. Understanding the fluidization of non-spherical particles is important to guide relevant processes.
Zihan Liu, Huaqing Ma, Yongzhi Zhao
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Asymptotic Forms of Solutions to System of Nonlinear Partial Differential Equations
Here, we considerably develop the methods of power geometry for a system of partial differential equations and apply them to two different fluid dynamics problems: computing the boundary layer on a needle in the first approximation and computing the ...
Alexander D. Bruno, Alexander B. Batkhin
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FORM CREATIVITY STRATEGIES IN DISCRETE STRUCTURE MODELING IN DESIGN
Some current issues in regular discrete structure geometric form generation are considered with reference to different areas of design and architecture, and promising directions/trends in their development are identified.
Korotich Andrey V.
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Data-based polyhedron model for optimization of engineering structures involving uncertainties
This paper studies the data-based polyhedron model and its application in uncertain linear optimization of engineering structures, especially in the absence of information either on probabilistic properties or about membership functions in the fussy sets-
Zhiping Qiu +3 more
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The Ecclesiology of Pope Francis: A Critical Analysis of the Metaphor of the Church as Polyhedron [PDF]
Pope Francis focuses on essential topics for the Church and society in his pontificate. To describe the relationships between different social subjects, he often uses the metaphor of the polyhedron to highlight the importance of each individual and each
Željko Tanjić, Zoran Turza
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