Digitally Spelunking the Spline Mine
Inhaltsverzeichnis
Reference
Curtis Palmer: Digitally Spelunking the Spline Mine. In: Bridges 2005. Pages 309–312
DOI
Abstract
The Spline Mine consists of unique representations of polyhedral domains produced by: 1. modeling the solids variously classed as: Platonic, Archimedean, Catalan, Kepler-Poinsot and Stellated Icosahedra; 2. projecting polyhedral surfaces onto a plane to produce linear maps; 3. converting these maps to symmetrical spline curves; 4. using these curves for the creation of derivative forms. These curves are painted, extruded, lofted, projected and blended to produce a range of forms including: 2D prints and animations; and 3D channels, bas-reliefs, and domes.
Extended Abstract
Bibtex
Used References
[1] J. Calhoun, Space and the Strategy of Life, Ekistics, vol. 29 #175 pp. 425-437, 1970
[2] H. S. M. Coxeter, Regular Polytopes, Dover Publications, pp. 76, 1973
[3] René Daumal, Mount Analog a Novel of Symbolically Authentic Non Euclidean Adventures in Mountain Climbing, p. 95, Penguin, 1974
[4] D. Dennett, Darwin’s Dangerous Idea, Penguin Books, pp. 135-145, 1995
[5] R. B. Fuller, Inventory of World Resources: Human Trends and Needs, Fuller Projects pp. 142-156, 1963
[6] R. B. Fuller, Synergetics, Macmillan, pp. xix, 1975
[7] J. K. Galbraith, Annals of an Abiding Liberal, Houghton Mifflin, 1979
[8] C.L. Palmer, Omniopticon: Design Alternatives for a Spherical Projection System, University of Alberta, 1994
[9] C. S. Smith, A Search for Structure, MIT Press, 1982
Links
Full Text
http://archive.bridgesmathart.org/2005/bridges2005-309.pdf
