Shapes are continuous objects, even when they are drawn on digital media or composed using finite number of elements. As such, they defy analytic approach; explicitization of their parts, hierarchies, skeletons, or even centroids is ill-posed. I describe a novel approach to perceptually organize shapes and explicate their features without being negligent of their continuous nature. The basic co...

Due to considerable stored energy in surfaces of nano-scales in comparison with the stored energy in their bulk, considering the surface energy is necessary for the analysis of various behaviors of nano-scales for more precise design and manufacturing. In this article, the longitudinal dynamic behavior of nanobars in the presence of the surface energy parameters is studied. To this end, the lon...

CALI is a fast, simple and compact online recognizer that identifies Scribbles (multi-stroke geometric shapes) drawn with a stylus on a digitizing tablet. Our method is able to identify shapes of different sizes and rotated at arbitrary angles, drawn with dashed, continuous strokes or overlapping lines. We use temporal adjacency to allow users to input the most common shapes in drawing such as ...

Understanding how the nervous system achieves reliable performance using unreliable components is important for many disciplines of science and engineering, in part because it can suggest ways to lower the energetic cost of computing. In vision, retinal ganglion cells partition visual space into approximately circular regions termed receptive fields (RFs). Average RF shapes are such that they w...

Graphs (networks) are very common data structures which are handled in computers. Diagrams are widely used to represent the graph structures visually in many information systems. In order to automatically draw the diagrams which are, for example, state graphs, data-flow graphs, Petri nets, and entity-relationship diagrams, basic graph drawing algorithms are required. The state of the art in aut...

This study aims to determine ethnomathematics studies on the Langkanae palace building in city of Palopo. type research is descriptive qualitative. The main instrument researcher and instruments used are interview guidelines, literature documentation. technique was through interviews, study, documentation with qualitative data analysis consisting 3 stages, namely reduction, presentation drawing...

Much work on orthogonal graph drawing has focused on 4-planar graphs, that is planar graphs where all vertices have maximum degree 4. In this work, we study aspects of the Kandinsky model, which is a model for orthogonal graph drawings of higher-degree graphs. First, we examine the decision problem β-Embeddability, which asks whether for a given planar graph with a fixed or variable embedding, ...

Most work in intelligent design systems suffers from the limitation that the space of all possible structures that the system is capable of generating is represented in a fixed symbolic language which serves as a support for search. In this research, we investigate techniques for reasoning about a nonenumerable space of possible structures, for which such representations cannot be constructed. ...

With the advancement of new technologies, this author has in 2010 started to engineer an online learning environment for investigating the nature and development of spatial abilities, and the teaching and learning of geometry. This paper documents how this new digital learning environment can afford the opportunity to integrate the learning about 3D shapes with direction, location and movement,...