Quelltext der Seite Volution's Evolution


== Reference ==
Carlo H. Séquin: [[Volution's Evolution]]. In: [[Bridges 2003]]. Pages 13–24 

== DOI ==

== Abstract ==
"Volution" refers to a series of shell-like modular sculptural elements embedded in a cube. They all have
similar edge-patterns consisting of quarter-circles on faces of the unit cube, and on the inside they exhibit
several, possibly warped, saddles and tunnels. This paper discusses the origin of these designs and their
evolution and development into constrained minimal surfaces and into potentially large-scale,
freestanding sculptures.

== Extended Abstract ==

== Bibtex == 

== Used References ==
[1] K. Brakke, Surface Evolver, - http://www.susgu.edu/facstaff/b/brakke/evolver/ (2003).         all htmls have OCR errors!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[2] K. Brakke, Triply Periodic Minimal Suifaces, http://www.susgu.edulfacstafflblbrakelevolver/examples/periodic/ (2003).

[3] B. Collins, Finding an Integral Equation of Design and Mathematics, Proc. Bridges '98, Fig.22, p27.

[4] B. Collins, Merging Paradigms, Proc. Bridges'99, Fig: Atomic Flower 2, Appendix. (1999).

[5] D. A. Hoffman: Costa Suifaces, http://www.msri.orglpublicationslsgp/jimlgeomlminimalllibrary/costalindexd.html (2003).

[6] P. Hooper, Iggle, - private communication, NC State University, Raleigh, Fall 1999.

[7] J. Hrdlicka, Suiface by P. J. Stewart, - private communication, March 2001. .

[8] L. Hsu, R. Kusner, and J. Sullivan, Minimizing the Squared Mean Curvature Integral for Suifaces in
Space Forms, Experimental Mathematics 1, p191-208 (1991).

[9] H. P. Moreton and C.H. Sequin, Functional Optimization for Fair Suiface Design, Proc. ACM
SIGGRAPH'92, Chicago, July 1992, and Computer Graphics, Vol 26, No 2, pp 167-176, (1992).

[10] C. Perry, Charles O. Perry, deCesare Design Assoc., Darien CN, "Early Mace" p52, (1987).

[11] Plateau's Problem, - http://mathworld.wolfram.comIPlateausProblem.html (2003).

[12] C. H. Sequin, P. Y. Chang, and H. P. Moreton, Scale-Invariant Functionals for Smooth Curves and
Suifaces, Proc. 1993 Dagstuhl Seminar on Geometric Modelling, Hans Hagen, ed., Computing
Supplement 10, Springer, pp 303-321, July 1995.

[13] C. H. Sequin, Virtual Prototyping of Scherk-Collins Saddle Rings, Leonardo, Vol. 30, No.2, 1997,
pp.89-96.

[14] C. H. Sequin, "Viae Globi" - Pathways on a Sphere, Mathematics and Design 2001, Geelong,
Australia, July 3-5, 2001.

[15] J. Smith, SUDE environment, - http://www.cs.berkeley.edul-uglslideldocs/slidelspec/ (2003).

[16] Stratasys Corp., FDM machine, - http://www.stratasys.coml(2003).

[17] J. Sullivan, Minimal Flower 3, - http://torus.math.uiuc.eduljms/Images/Sculp/ (2003).

[18] ZCorporation, 3D-Printer, - http://www.zcorp.coml(2003).


== Links ==
=== Full Text === 
http://archive.bridgesmathart.org/2003/bridges2003-13.pdf

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2003/bridges2003-13.html