Constructive generalization of non-ruled quadrics: A descriptive geometric approach

This research presents a descriptive geometric methodology for the generalized construction of non-ruled quadrics, emphasizing the definition of a generic polar system and its projective transformations. By extending traditional approaches beyond the limitations imposed by symmetry planes, the concept of the “generic polar system” enables the generation of theoretically infinite structural configurations. This innovative framework is designed to integrate effectively with 3D modeling software, offering advanced solutions for architectural and design applications.

Authors

Institutions

Publication Details

Journal
International Journal of Space Structures
Published
2025-03-01
DOI
https://doi.org/10.1177/09560599251334816
Primary Topic
Structural Analysis and Optimization
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Constructive generalization of non-ruled quadrics: A descriptive geometric approach

Nancy Alassaf, Hasan Isawi, Batoul Ballout, Nisreen Azzam
International Journal of Space Structures
Structural Analysis and Optimization
article

Constructive generalization of non-ruled quadrics: A descriptive geometric approach

Nancy Alassaf, Hasan Isawi, Batoul Ballout, Nisreen Azzam
article en

Abstract

This research presents a descriptive geometric methodology for the generalized construction of non-ruled quadrics, emphasizing the definition of a generic polar system and its projective transformations. By extending traditional approaches beyond the limitations imposed by symmetry planes, the concept of the “generic polar system” enables the generation of theoretically infinite structural configurations. This innovative framework is designed to integrate effectively with 3D modeling software, offering advanced solutions for architectural and design applications.

International Journal of Space StructuresVol. 40(1)
University of Jordan (JO)
Sustainable cities and communities
Openalex Percentile: Top 90%
Structural Analysis and Optimization
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.