C. Jiang, C. Tang, M. Tomičić, J. Wallner and H. Pottmann, Interactive Modeling of Architectural Freeform Structures - Combining Geometry with Fabrication and Statics, Advances in Architectural Geometry (2014), 95-108

Abstract:

This paper builds on recent progress in computing with geometric constraints, which is particularly relevant to architectural geometry. Not only do various kinds of meshes with additional properties (like planar faces, or with equilibrium forces in their edges) become available for interactive geometric modeling, but so do other arrangements of geometric primitives, like honeycomb structures. The latter constitute an important class of geometric objects, with relations to “Lobel” meshes, and to freeform polyhedral patterns. Such patterns are particularly interesting and pose research problems which go beyond what is known for meshes, e.g. with regard to their computing, their flexibility, and the assessment of their fairness.

Bibtex: 

@incollection{jttwp-imafs-14,
	author = "Caigui Jiang and Chengcheng Tang and Marko Tomicic and
		Johannes Wallner and Helmut Pottmann",
	title = "Interactive modeling of architectural freeform structures - 
		combining geometry with fabrication and statics",
	booktitle = "Advances in Architectural Geometry",
	year = 2014,
	publisher = "Springer",
	editor = "P. Block and J. Knippers and W. Wang",
}