[{"issue":"4","volume":24,"publication_identifier":{"issn":[]},"publication_status":"published","language":[{}],"scopus_import":"1","month":"12","intvolume":" 24","abstract":[{"lang":"eng"}],"oa_version":"None","date_updated":"2023-05-02T11:43:59Z","extern":"1","creator":{"login":"alisjak","id":"ea97e931-d5af-11eb-85d4-e6957dddbf17"},"type":"journal_article","article_type":"original","status":"public","_id":"4004","uri_base":"https://research-explorer.ista.ac.at","page":"707 - 719","date_published":"2000-12-01T00:00:00Z","date_created":"2018-12-11T12:06:23Z","day":"01","publication":"Discrete & Computational Geometry","dc":{"title":["Edgewise subdivision of a simplex"],"creator":["Edelsbrunner, Herbert","Grayson, Daniel"],"rights":["info:eu-repo/semantics/closedAccess"],"language":["eng"],"date":["2000"],"publisher":["Springer"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s004540010063","info:eu-repo/semantics/altIdentifier/issn/0179-5376"],"source":["Edelsbrunner H, Grayson D. Edgewise subdivision of a simplex. Discrete & Computational Geometry. 2000;24(4):707-719. doi:10.1007/s004540010063"],"description":["In this paper we introduce the abacus model of a simplex and use it to subdivide a d-simplex into k(d) d-simplices all of the same volume and shape characteristics. The construction is an extension of the subdivision method of Freudenthal [3] and has been used by Goodman and Peters [4] to design smooth manifolds."],"identifier":["https://research-explorer.ista.ac.at/record/4004"]},"quality_controlled":"1","acknowledgement":"NSF under Grant DMS 98-73945, NSF under Grant CCR-96-19542 and by ARO under Grant DAAG55- 98-1-0177.","author":[{"orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","first_name":"Herbert"},{"first_name":"Daniel","last_name":"Grayson"}],"publist_id":"2119","article_processing_charge":"No","citation":{"ista":"Edelsbrunner H, Grayson D. 2000. Edgewise subdivision of a simplex. Discrete & Computational Geometry. 24(4), 707–719.","chicago":"Edelsbrunner, Herbert, and Daniel Grayson. “Edgewise Subdivision of a Simplex.” Discrete & Computational Geometry. Springer, 2000. https://doi.org/10.1007/s004540010063.","apa":"Edelsbrunner, H., & Grayson, D. (2000). Edgewise subdivision of a simplex. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s004540010063","ieee":"H. Edelsbrunner and D. Grayson, “Edgewise subdivision of a simplex,” Discrete & Computational Geometry, vol. 24, no. 4. Springer, pp. 707–719, 2000.","short":"H. Edelsbrunner, D. Grayson, Discrete & Computational Geometry 24 (2000) 707–719.","mla":"Edelsbrunner, Herbert, and Daniel Grayson. “Edgewise Subdivision of a Simplex.” Discrete & Computational Geometry, vol. 24, no. 4, Springer, 2000, pp. 707–19, doi:10.1007/s004540010063."},"dini_type":"doc-type:article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17"}]