{"acknowledgement":"NSF under Grant DMS 98-73945, NSF under Grant CCR-96-19542 and by ARO under Grant DAAG55- 98-1-0177.","article_processing_charge":"No","_id":"4004","oa_version":"None","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833"},{"first_name":"Daniel","last_name":"Grayson","full_name":"Grayson, Daniel"}],"publication_status":"published","date_created":"2018-12-11T12:06:23Z","intvolume":"        24","citation":{"apa":"Edelsbrunner, H., &#38; Grayson, D. (2000). Edgewise subdivision of a simplex. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s004540010063\">https://doi.org/10.1007/s004540010063</a>","ama":"Edelsbrunner H, Grayson D. Edgewise subdivision of a simplex. <i>Discrete &#38; Computational Geometry</i>. 2000;24(4):707-719. doi:<a href=\"https://doi.org/10.1007/s004540010063\">10.1007/s004540010063</a>","ieee":"H. Edelsbrunner and D. Grayson, “Edgewise subdivision of a simplex,” <i>Discrete &#38; Computational Geometry</i>, vol. 24, no. 4. Springer, pp. 707–719, 2000.","short":"H. Edelsbrunner, D. Grayson, Discrete &#38; Computational Geometry 24 (2000) 707–719.","chicago":"Edelsbrunner, Herbert, and Daniel Grayson. “Edgewise Subdivision of a Simplex.” <i>Discrete &#38; Computational Geometry</i>. Springer, 2000. <a href=\"https://doi.org/10.1007/s004540010063\">https://doi.org/10.1007/s004540010063</a>.","mla":"Edelsbrunner, Herbert, and Daniel Grayson. “Edgewise Subdivision of a Simplex.” <i>Discrete &#38; Computational Geometry</i>, vol. 24, no. 4, Springer, 2000, pp. 707–19, doi:<a href=\"https://doi.org/10.1007/s004540010063\">10.1007/s004540010063</a>.","ista":"Edelsbrunner H, Grayson D. 2000. Edgewise subdivision of a simplex. Discrete &#38; Computational Geometry. 24(4), 707–719."},"quality_controlled":"1","publist_id":"2119","volume":24,"type":"journal_article","status":"public","scopus_import":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_identifier":{"issn":["0179-5376"]},"date_updated":"2023-05-02T11:43:59Z","month":"12","article_type":"original","extern":"1","doi":"10.1007/s004540010063","language":[{"iso":"eng"}],"title":"Edgewise subdivision of a simplex","publication":"Discrete & Computational Geometry","day":"01","publisher":"Springer","issue":"4","abstract":[{"lang":"eng","text":"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."}],"date_published":"2000-12-01T00:00:00Z","page":"707 - 719","year":"2000"}