Reprinted from:
COMPUTER AIDED GEOMETRIC DESIGN
© 1974
San Francisco
Now York

THE SPACE CURVE AS A FOLDED EDGE

Ronald D. Resch
University of Utah


     Since a folded edge can determine a space curve,
this research focused on the question: given any
space curve, can one develop a two dimensional score
line such that its folding will produce the desired
space curve as a folded edge?

     The images on the following pages exhibit the
use of a given space curve as a folded edge in an
architectural model. The model was designed with the
aid of the computer images. A numeric control tape,
which determined the layout of the sheets to be developed,
was used in the fabrication of the physical models.

Ephraim Cohen (now at Applicon Corp., Burlington,
Mass.) was responsible for the mathematical definition
and the computer programming of a folded, curved edge.

The research reported in this paper was directed
by the author during 1972-73 under ARPA-IPT DOD
Contract #F30602-70-C-0300.

References
1.	Resch, R., "The Topological Design of Sculptural
	and Architectural Systems", AFIPS - CONFERENCE
	PROCEEDINGS, Vol. 42, NCC, 1973, 643-650.

2.	Resch, R., "Portfolio of Shaded Computer	
	Proceedings of IEEE, Vol. 62 no. 4, April 1974,
        496-502.