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61. Escher sphere construction kit

Author Yen-J; Sequin-C

Source Proceedings-of-the-Symposium-on-Interactive-3D-Graphics. 2001, p 95-98; 2001 Symposium on Interactive 3D Graphics. Research Triangle Park, NC, United States

Abstract M.C. Escher created a myriad of amazing planar tessellations, yet only a few three-dimensional ones such as his wooden fish ball and dodecahedral flower. We have developed an interactive program to design and manufacture "Escher Spheres" - Sets of tiles that can be assembled into spherical balls. The user chooses from a set of predefined symmetry groups and then deforms the boundaries of the basic domain tile; all corresponding points based on the chosen symmetry class move concurrently, instantly showing the overall result. The interior of the tile can be embellished with a bas-relief. Finally the tile is radially extruded and output as a solid model suitable for free-form fabrication. 16 Refs. (Auth abstract) XX




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