Results 11 to 20 of about 14,623 (104)

A Kirchhoff-like conservation law in Regge calculus [PDF]

open access: yes, 2008
Simplicial lattices provide an elegant framework for discrete spacetimes. The inherent orthogonality between a simplicial lattice and its circumcentric dual yields an austere representation of spacetime which provides a conceptually simple form of ...
Gentle, Adrian P.   +3 more
core   +3 more sources

Grid Vertex-Unfolding Orthogonal Polyhedra

open access: yes, 2006
An edge-unfolding of a polyhedron is produced by cutting along edges and flattening the faces to a *net*, a connected planar piece with no overlaps. A *grid unfolding* allows additional cuts along grid edges induced by coordinate planes passing through ...
Damian, Mirela   +2 more
core   +3 more sources

Polyhedra, Complexes, Nets and Symmetry [PDF]

open access: yes, 2014
Skeletal polyhedra and polygonal complexes in ordinary Euclidean 3-space are finite or infinite 3-periodic structures with interesting geometric, combinatorial, and algebraic properties.
Schulte, Egon
core   +1 more source

On the computation of foldings [PDF]

open access: yesFME Transactions, 2017
The process of determining the development (or net) of a polyhedron or of a developable surface is called unfolding and has a unique result, apart from the placement of different components in the plane.
Stachel Hellmuth
doaj  

Nonorthogonal Polyhedra Built from Rectangles [PDF]

open access: yes, 2002
We prove that any polyhedron of genus zero or genus one built out of rectangular faces must be an orthogonal polyhedron, but that there are nonorthogonal polyhedra of genus seven all of whose faces are rectangles. This leads to a resolution of a question
Donoso, Melody, O'Rourke, Joseph
core   +2 more sources

The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: II. Numerical Treatment

open access: yes, 1997
A procedure is described for efficiently finding the ground state energy and configuration for a Frenkel-Kontorova model in a periodic potential, consisting of N parabolic segments of identical curvature in each period, through a numerical solution of ...
H. J. Schellnhuber   +8 more
core   +1 more source

ARIATIONS OF CONCAVE PYRAMIDS OF SECOND SORT WITH AN EVEN NUMBER OF BASE SIDES

open access: yesJournal of Industrial Design and Engineering Graphics, 2015
Concave pyramids of second sort (CP II) are formed similarly to concave cupolae of second sort (CC II) with a comparable logic of emergence to the regular-faced convex pyramids.
Marija Obradovic   +2 more
doaj   +2 more sources

An Analytical Method for Delineating Feasible Region for PV Integration Capacities in Net-zero Distribution Systems Considering Battery Energy Storage System Flexibility

open access: yesJournal of Modern Power Systems and Clean Energy
To provide guidance for photovoltaic (PV) system integration in net-zero distribution systems (DSs), this paper proposes an analytical method for delineating the feasible region for PV integration capacities (PVICs), where the impact of battery energy ...
Shida Zhang   +4 more
doaj   +1 more source

The Rigidity of Spherical Frameworks: Swapping Blocks and Holes [PDF]

open access: yes, 2009
A significant range of geometric structures whose rigidity is explored for both practical and theoretical purposes are formed by modifying generically isostatic triangulated spheres. In the block and hole structures (P, p), some edges are removed to make
Finbow, Wendy   +2 more
core  

Convex Analysis and Optimization with Submodular Functions: a Tutorial [PDF]

open access: yes, 2010
Set-functions appear in many areas of computer science and applied mathematics, such as machine learning, computer vision, operations research or electrical networks.
Bach, Francis
core   +3 more sources

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