scholarly journals Parallelism in diagram geometry

1994 ◽  
Vol 1 (3) ◽  
pp. 355-397 ◽  
Author(s):  
F. Buekenhout ◽  
C. Huybrechts ◽  
A. Pasini
Keyword(s):  
Diagram Geometry

Diagram Geometry

2013 ◽  
Author(s):  
Francis Buekenhout ◽  
Arjeh M. Cohen
Keyword(s):  
Diagram Geometry

scholarly journals A Cognitively-Inspired Model for Making Sense of Hasse Diagrams

2021 ◽  
Author(s):  
Dimitra Bourou ◽  
Marco Schorlemmer ◽  
Enric Plaza
Keyword(s):  
Spatial Reasoning ◽  
Geometric Configuration ◽  
Sense Making ◽  
Qualitative Spatial Reasoning ◽  
Diagram Geometry ◽  
Hasse Diagrams ◽  
Image Schemas ◽  
Making Sense ◽  
Logical Semantics

In this paper, we present a model of the sense-making process for diagrams, and describe it for the case of Hasse diagrams. Sense-making is modeled as the construction of networks of conceptual blends among image schemas and the diagram’s geometric configuration. As a case study, we specify four image schemas and the geometric configuration of a Hasse diagram, with typed FOL theories. In addition, for the diagram geometry, we utilise Qualitative Spatial Reasoning formalisms. Using an algebraic specification language, we can compute conceptual blends as category-theoretic colimits. Our model approaches sense-making as a process where the image schemas and the diagram geometry both structure each other through a complex network of conceptual blends. This yields a final blend in which the sort of inferences we confer to diagrammatic representations emerge. We argue that this approach to sense-making in diagrams is more cognitively apt than the mainstream view of a diagram being a syntactic representation of some underlying logical semantics. Moreover, our model could be applied to various types of stimuli and is thus valuable for the general field of AI.

scholarly journals Volume Optimization of Solid Waste Landfill Using Voronoi Diagram Geometry

2019 ◽  
Vol 9 (1) ◽  
pp. 307-311
Author(s):  
Edwin Koźniewski ◽  
Marcin Orłowski
Keyword(s):  
Surface Area ◽  
Loose Material ◽  
3D Model ◽  
Rapid Determination ◽  
Geometric Object ◽  
Parametric Approach ◽  
Diagram Geometry ◽  
Waste Landfill ◽  
Top View

AbstractThe loose material, falling freely on the flat area, creates a geometric object similar to the roof. This object, which is in fact an embankment, the authors described and examined in previous works. They stated that the top view of such an object is a flat diagram of Voronoi. In view of the need to enlarge the landfill by combining the existing disjoint embankments, the authors were encouraged to apply the results obtained in practice. They also provided a detailed methodology for creating such embankments. In particular, they used the standard version of AutoCAD software and built a 3D model of the landfill based on solid operations. This parametric approach to design enables the rapid determination of the volume and surface area and fits in the BIM technology of designing engineering objects.

scholarly journals Four-dimensional football, fullerenes and diagram geometry

2001 ◽  
Vol 238 (1-3) ◽  
pp. 115-130 ◽  
Author(s):  
Antonio Pasini
Keyword(s):  
Diagram Geometry
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