CAD Tools for Creating Space-filing 3D Escher Tiles [electronic resource].
- Published
- Berkeley, Calif. : Lawrence Berkeley National Laboratory, 2009.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Physical Description
- 12 : digital, PDF file
- Additional Creators
- Lawrence Berkeley National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access
- Free-to-read Unrestricted online access
- Summary
- We discuss the design and implementation of CAD tools for creating decorative solids that tile 3-space in a regular, isohedral manner. Starting with the simplest case of extruded 2D tilings, we describe geometric algorithms used for maintaining boundary representations of 3D tiles, including a Java implementation of an interactive constrained Delaunay triangulation library and a mesh-cutting algorithm used in layering extruded tiles to create more intricate designs. Finally, we demonstrate a CAD tool for creating 3D tilings that are derived from cubic lattices. The design process for these 3D tiles is more constrained, and hence more difficult, than in the 2D case, and it raises additional user interface issues.
- Report Numbers
- E 1.99:lbnl-2467e
lbnl-2467e - Other Subject(s)
- Note
- Published through SciTech Connect.
04/10/2009.
"lbnl-2467e"
Computer-Aided Design and Applications, Reno, NV, June 8-12, 2009.
Howison, Mark; Sequin, Carlo H.
Computational Research Division - Funding Information
- DE-AC02-05CH11231
View MARC record | catkey: 14654400