CAD Tools for Creating Space-filing 3D Escher Tiles.
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| Title: | CAD Tools for Creating Space-filing 3D Escher Tiles. |
|---|---|
| Authors: | Howison, Mark1 mhowison@berkeley.edu, Séquin, Carlo H.1 sequin@cs.berkeley.edu |
| Source: | Computer-Aided Design & Applications. 2009, Vol. 6 Issue 6, p737-748. 12p. 11 Color Photographs, 9 Diagrams. |
| Subjects: | Tile construction, Computer-aided design, Java programming language, Algorithms, Tiles |
| Abstract: | 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Computer-Aided Design & Applications is the property of Computer-Aided Design & Applications and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 43517298 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: CAD Tools for Creating Space-filing 3D Escher Tiles. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Howison%2C+Mark%22">Howison, Mark</searchLink><relatesTo>1</relatesTo><i> mhowison@berkeley.edu</i><br /><searchLink fieldCode="AR" term="%22Séquin%2C+Carlo+H%2E%22">Séquin, Carlo H.</searchLink><relatesTo>1</relatesTo><i> sequin@cs.berkeley.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computer-Aided+Design+%26+Applications%22">Computer-Aided Design & Applications</searchLink>. 2009, Vol. 6 Issue 6, p737-748. 12p. 11 Color Photographs, 9 Diagrams. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Tile+construction%22">Tile construction</searchLink><br /><searchLink fieldCode="DE" term="%22Computer-aided+design%22">Computer-aided design</searchLink><br /><searchLink fieldCode="DE" term="%22Java+programming+language%22">Java programming language</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Tiles%22">Tiles</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computer-Aided Design & Applications is the property of Computer-Aided Design & Applications and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=43517298 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3722/cadaps.2009.737-748 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 737 Subjects: – SubjectFull: Tile construction Type: general – SubjectFull: Computer-aided design Type: general – SubjectFull: Java programming language Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Tiles Type: general Titles: – TitleFull: CAD Tools for Creating Space-filing 3D Escher Tiles. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Howison, Mark – PersonEntity: Name: NameFull: Séquin, Carlo H. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 16864360 Numbering: – Type: volume Value: 6 – Type: issue Value: 6 Titles: – TitleFull: Computer-Aided Design & Applications Type: main |
| ResultId | 1 |
