A 5-configuration is a collection of points and straight lines in the Euclidean plane so that each point lies on five lines and each line passes through five points. We describe how to construct the first known family of 5-configurations with chiral (that is, only rotational) symmetry, and prove that the construction works; in addition, the construction technique produces the smallest known geo...

Abstract The research aimed to evaluate the effect of seismic loads on tall buildings through four geometric shapes: square, circle, equilateral triangle, and regular hexagon, around X Y axis, in three evaluation stages structural regularity condition system adopted verification phases regarding story drift limit according E.030 Peruvian standard. Modelling was conducted ETABS ® v.16.2.1, with ...

This paper describes an approach at Volvo Truck Corporation where geometry users’ requirements are utilised to define configurable product views. The paper is derived from a research framework on geometry management. The objective of the research framework is to improve reuse of geometry by providing relevant geometry-based product information, so-called geometric product views, through applica...

The techniques developed by Butscher (Gluing constructions amongst constant mean curvature hypersurfaces of Sn+1) for constructing constant mean curvature (CMC) hypersurfaces in Sn+1 by gluing together spherical building blocks are generalized to handle less symmetric initial configurations. The outcome is that the approximately CMC hypersurface obtained by gluing the initial configuration toge...

We consider the possibility that the basic space of physics is not spacetime, but configuration space. We illustrate this on the example with a system of gravitationally interacting point particles. It turns out that such system can be described by the minimal length action in a multidimensional configuration space C with a block diagonal metric. Allowing for more general metrics and curvatures...

This chapter describes a geometric approach to human cognition centering on the concept of mental configuration space. As a case study of the approach, this work details a study that derives performance models for an important class of motor behavior—pointing in the two dimensional space. The five derived models and three existing models in the literature are compared using an experimental stud...

A spatial configuration of a rudimentary, static, realworld scene with known objects (animals) and properties (positions and orientations) contains a wealth of syntactic and semantic spatial information that can contribute to a computational understanding far beyond what its quantitative details alone convey. This work presents an approach that (1) quantitatively represents what a configuration...

Multistatic forward-looking synthetic aperture radar (Mu-FLSAR) has the potential of high-resolution imaging with short time, which can improve transmitter’s survivability, by coherently fusing simultaneously observed measurements multiple receivers. However, combined performance strictly depends on an appropriate geometric configuration among transmitter and receivers because application limit...