Results 31 to 40 of about 72,022 (324)
Deployable Arches Based on Regular Polygon Geometry [PDF]
This paper discusses a deployable-arch-structure design that is built using articulated bars, commonly called a scissor-system, and is based on the regular polygon geometry.
Peña Villamil, Diana Maritza +1 more
core +1 more source
An isoperimetric problem for point interactions
We consider Hamiltonian with $N$ point interactions in $\R^d, d=2,3,$ all with the same coupling constant, placed at vertices of an equilateral polygon $\PP_N$. It is shown that the ground state energy is locally maximized by a regular polygon.
Abramowitz M S +9 more
core +1 more source
Equivariant Semidefinite Lifts of Regular Polygons [PDF]
Given a polytope P ⊂ ℝn, we say that P has a positive semidefinite lift (psd lift) of size d if one can express P as the projection of an affine slice of the d × d positive semidefinite cone. Such a representation allows us to solve linear optimization problems over P using a semidefinite program of size d and can be useful in practice when d is much ...
Fawzi, Hamza +2 more
openaire +5 more sources
Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li +8 more
wiley +1 more source
The Evolution of the Local Induction Approximation for a Regular Polygon *
In this paper, we consider the so-called local induction approximation (LIA): $$ \Xt = \Xs\wedge\Xss, $$ X
de la Hoz Francisco, Vega Luis
doaj +1 more source
Research about the number of D-points of -tiling in given ellipse
An Archimedean tiling is a tiling of the plane by one type of regular polygon or several types of regular polygons, and every vertex of the tiling has the same vertex characteristics.
Xianglin WEI, Weiqi WANG
doaj +1 more source
Polygonal patches of high order continuity [PDF]
A polygonal patch is defined to fill an n-sided hole within a rectangular Ck patch framework. First a reparameterization of the surface around the hole is constructed, that is defined outside a regular polygon.
Gregory, JA, Hahn, JM
core
Minimal fragmentation of regular polygonal plates [PDF]
Minimal fragmentation models intend to unveil the statistical properties of large ensembles of identical objects, each one segmented in {\it two} parts only. Contrary to what happens in the multifragmentation of a single body, minimally fragmented ensembles are often amenable to analytical treatments, while keeping key features of multifragmentation ...
Dias, Laercio, Parisio, Fernando
openaire +3 more sources
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou +4 more
wiley +1 more source
Partitioning Regular Polygons into Circular Pieces I: Convex Partitions [PDF]
We explore an instance of the question of partitioning a polygon into pieces, each of which is as ``circular'' as possible, in the sense of having an aspect ratio close to 1.
Damian, Mirela, O'Rourke, Joseph
core +2 more sources

