Results 11 to 20 of about 3,800,436 (239)
Finding the optimal nets for self-folding Kirigami [PDF]
, 2018 Three-dimensional shells can be synthesized from the spontaneous self-folding of two-dimensional templates of interconnected panels, called nets. However, some nets are more likely to self-fold into the desired shell under random movements.
Araújo, N. A. M. +3 more
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Hamiltonian Quasigeodesics yield Nets [PDF]
arXiv.org, 2022 This note establishes that every polyhedron that has a Hamiltonian quasigeodesic can be edge-unfolded to a net, and shows that the class of such polyhedra is infinite.
J. O'Rourke
semanticscholar +1 more source
Acta Crystallographica Section E: Crystallographic Communications, 2015 The title compound, poly[(N,N-dimethylacetamide-κO)(μ4-5-methylisophthalato-κ5O,O′:O′,O′′:O′′)manganese(II)], [Mn(C9H6O4)(C3H7NO)]n, was obtained from a mixture containing MnCl2·4H2O and 5-methylisophthalic acid in N,N-dimethylacetamide solution. The Mn2+
Lan Jin +4 more
doaj +1 more source
Basic nets in the projective plane [PDF]
, 2014 The notion of basic net (called also basic polyhedron) on $S^2$ plays a central role in Conway's approach to enumeration of knots and links in $S^3$. Drobotukhina applied this approach for links in $RP^3$ using basic nets on $RP^2$.
Orevkov, S. Yu.
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UNFOLDED REGULAR AND SEMI-REGULAR POLYHEDRA
Journal of Industrial Design and Engineering Graphics, 2015 This paper proposes a presentation unfolding regular and semi-regular polyhedra. Regular polyhedra are convex polyhedra whose faces are regular and equal polygons, with the same number of sides, and whose polyhedral angles are also regular and equal ...
IONIŢĂ Elena +2 more
doaj +4 more sources
Algorithm 1032: Bi-cubic Splines for Polyhedral Control Nets
ACM Transactions on Mathematical Software, 2022 For control nets outlining a large class of topological polyhedra, not just tensor-product grids, bi-cubic polyhedral splines form a piecewise polynomial, first-order differentiable space that associates one function with each vertex.
J. Peters, K. Lo, K. Karčiauskas
semanticscholar +1 more source
Elastic energy of polyhedral bilayer vesicles [PDF]
, 2011 In recent experiments [M. Dubois, B. Dem\'e, T. Gulik-Krzywicki, J.-C. Dedieu, C. Vautrin, S. D\'esert, E. Perez, and T. Zemb, Nature (London) Vol. 411, 672 (2001)] the spontaneous formation of hollow bilayer vesicles with polyhedral symmetry has been ...
Christoph A. Haselwandter +12 more
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A Kirchhoff-like conservation law in Regge calculus [PDF]
, 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
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Integer polyhedra for program analysis [PDF]
, 2009 Polyhedra are widely used in model checking and abstract interpretation. Polyhedral analysis is effective when the relationships between variables are linear, but suffers from imprecision when it is necessary to take into account the integrality of the ...
A. Barvinok +19 more
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Grid Vertex-Unfolding Orthogonal Polyhedra
, 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