A Face Vector Representation for the Construction of Polyhedra

M A Rosenman
Additional contact information
M A Rosenman: Key Centre of Design Computing, Department of Architectural and Design Science, University of Sydney, Sydney, Australia 2006

Environment and Planning B, 1999, vol. 26, issue 2, 265-280

Abstract: In this paper I will present a methodology for the stepwise construction of complex polyhedra from basic primitive polyhedra by using a vector representation as a generalization of the two-dimensional vector approach used for the construction of polygons. Starting with the concept of an atomic polyhedral cell, a voxel , I will construct configurations of polyhedra through the stepwise ‘gluing’ of equal and opposite faces. A vector approach for the representation of polyhedra, in which polyhedra are represented as a closed loop of polygonal faces which in turn are represented as a closed loop of edge vectors, is proposed. A rule is postulated for the joining of two polyhedra in face-to-face contact through the addition of equal and opposite faces where such faces are an extension of equal and opposite vectors. Examples of cubic constructions and octahedral-tetrahedral constructions are given.

Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://journals.sagepub.com/doi/10.1068/b2513 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:26:y:1999:i:2:p:265-280

DOI: 10.1068/b2513

Access Statistics for this article

More articles in Environment and Planning B
Bibliographic data for series maintained by SAGE Publications ().