--- _id: '3549' abstract: - lang: eng text: 'We study three types of spatial triangulations: Delaunay triangulations, triangulations with non-obtuse dihedral angles, and KJ-triangulations. The latter satisfy a certain angle condition useful for finite element approximation. We show that the condition for Delaunay triangulations is incomparable with the other two conditions, and that triangulations with non-obtuse dihedral angles are necessarily also KJ-triangulations. These relationships are in sharp contrast to the ones in the planar case. ' acknowledgement: 'Research was supported by the National Science Foundation under grant CCR-8714565. The author thanks Thomas Kerkhoven, Raimund Seidel, and Peter Shor for helpful discussions on the material of this paper. ' article_processing_charge: No author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 citation: ama: 'Edelsbrunner H. Spatial triangulations with dihedral angle conditions. In: Institute of the Electronics, Information and Communication Enginneers; 1989:83-89.' apa: Edelsbrunner, H. (1989). Spatial triangulations with dihedral angle conditions (pp. 83–89). Presented at the International Workshop on Discrete Algorithms and Complexity, Institute of the Electronics, Information and Communication Enginneers. chicago: Edelsbrunner, Herbert. “Spatial Triangulations with Dihedral Angle Conditions,” 83–89. Institute of the Electronics, Information and Communication Enginneers, 1989. ieee: H. Edelsbrunner, “Spatial triangulations with dihedral angle conditions,” presented at the International Workshop on Discrete Algorithms and Complexity, 1989, pp. 83–89. ista: Edelsbrunner H. 1989. Spatial triangulations with dihedral angle conditions. International Workshop on Discrete Algorithms and Complexity, 83–89. mla: Edelsbrunner, Herbert. Spatial Triangulations with Dihedral Angle Conditions. Institute of the Electronics, Information and Communication Enginneers, 1989, pp. 83–89. short: H. Edelsbrunner, in:, Institute of the Electronics, Information and Communication Enginneers, 1989, pp. 83–89. conference: name: International Workshop on Discrete Algorithms and Complexity date_created: 2018-12-11T12:03:54Z date_published: 1989-01-01T00:00:00Z date_updated: 2022-02-14T14:34:06Z day: '01' extern: '1' language: - iso: eng main_file_link: - url: https://ipsj.ixsq.nii.ac.jp/ej/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=32670&item_no=1&page_id=13&block_id=8 month: '01' oa_version: None page: 83 - 89 publication_status: published publisher: Institute of the Electronics, Information and Communication Enginneers publist_id: '2836' quality_controlled: '1' status: public title: Spatial triangulations with dihedral angle conditions type: conference user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17 year: '1989' ...