Three-dimensional object shape is commonly represented in terms of deformations of a triangular mesh from an exemplar shape. Existing models, however, are based on a Euclidean representation of shape deformations. In contrast, we argue that shape has a manifold structure: For example, summing the shape deformations for two people does not necessarily yield a deformation corresponding to a valid...

An attempt has been made to use this composite structural member as a column with a modification of flutes on the steel tube which enhances the aesthetics and development area of sheet by which the moment of inertia gets increased by about 17 to 40 % for rectangular flutes and 9 to 23 % for triangular flutes. Confining concrete by providing triangular and rectangular shape fluted steel tube has...

Blade configuration of nanofluids has been proven to perform much better than dispersed configuration for some heat conduction systems. The analytical analysis and numerical calculation are made for the cylinder--shaped and regular-rectangular-prism--shaped building blocks of the blade-configured heat conduction systems (using nanofluids as the heat conduction media) to find the optimal cross-s...

due to the algorithmic simplicity, cellular automata (ca) models are useful and simple methods in structural optimization. in this paper, a cellular-automaton-based algorithm is presented for simultaneous shape and topology optimization of continuum structures, using five-step optimization procedure. two objective functions are considered and the optimization process is converted to the single ...

This chapter describes the biological synthesis of anisotropic metal nanoparticles using the bacterium Actinobacter spp. The biogenic gold nanoparticles thus synthesized show triangular and hexagonal morphology with edge lengths between 0.05 μm to 2 μm. The surface topography of triangular gold particles indicated that they are ~ 9 nm thick. These flat particles show a strong absorption in the ...

The measurement to the intrinsic deformability of arbitrary small-scale subdivision of a shape is an interesting meanwhile valuable research topic. Such measurement can be directly utilized as a reliable criteria to partition object shape into small components and then assist in accurate shape modeling and description. Compared with single global shape modeling, through constructing subdivision...

Knutson, Tao, and Woodward [KTW04] formulated a Littlewood–Richardson rule for the cohomology ring of Grassmannians in terms of puzzles. Vakil [Vak06] and Wheeler–Zinn-Justin [WZ16] have found additional triangular puzzle pieces that allow one to express structure constants for K-theory of Grassmannians. Here we introduce two other puzzle pieces of hexagonal shape, each of which gives a Littlew...