{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T15:02:28Z","timestamp":1772809348705,"version":"3.50.1"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2010,3,3]],"date-time":"2010-03-03T00:00:00Z","timestamp":1267574400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2010,9]]},"DOI":"10.1007\/s00454-010-9254-3","type":"journal-article","created":{"date-parts":[[2010,3,2]],"date-time":"2010-03-02T00:06:40Z","timestamp":1267488400000},"page":"245-252","source":"Crossref","is-referenced-by-count":48,"title":["Dense Periodic Packings of Tetrahedra with Small Repeating Units"],"prefix":"10.1007","volume":"44","author":[{"given":"Yoav","family":"Kallus","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Veit","family":"Elser","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simon","family":"Gravel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,3,3]]},"reference":[{"key":"9254_CR1","doi-asserted-by":"crossref","first-page":"2201","DOI":"10.1109\/TIT.2002.800499","volume":"48","author":"E. Agrell","year":"2002","unstructured":"Agrell, E., et al.: Closest point search in lattices. IEEE Trans. Inf. Theory 48, 2201 (2002)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"9254_CR2","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1007\/s00454-008-9101-y","volume":"5","author":"E.R. Chen","year":"2008","unstructured":"Chen, E.R.: A dense packing of regular tetrahedra. Discrete Comput. Geom. 5(2), 214 (2008)","journal-title":"Discrete Comput. Geom."},{"key":"9254_CR3","doi-asserted-by":"crossref","first-page":"10612","DOI":"10.1073\/pnas.0601389103","volume":"103","author":"J.H. Conway","year":"2006","unstructured":"Conway, J.H., Torquato, S.: Packing, tiling and covering with tetrahedra. Proc. Natl. Acad. Sci. USA 103, 10612 (2006)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"9254_CR4","first-page":"11","volume-title":"Aperiodic\u201994","author":"L.A. Danzer","year":"1994","unstructured":"Danzer, L.A.: A family of 3D-spacefillers not permitting any periodic or quasiperiodic tiling. In: Chapuis, G., Paciorek, W. (eds.) Aperiodic\u201994, pp. 11\u201317. World Scientific, Singapore (1994)"},{"key":"9254_CR5","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.78.036706","volume":"78","author":"S. Gravel","year":"2008","unstructured":"Gravel, S., Elser, V.: Divide and concur: a general approach to constraint satisfaction. Phys. Rev. E 78, 036706 (2008)","journal-title":"Phys. Rev. E"},{"key":"9254_CR6","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1038\/nature08641","volume":"462","author":"A. Haji-Akbari","year":"2009","unstructured":"Haji-Akbari, A., Engel, M., et al.: Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra. Nature 462, 773 (2009)","journal-title":"Nature"},{"key":"9254_CR7","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1090\/S0002-9904-1970-12400-4","volume":"76","author":"D.J. Hoylman","year":"1970","unstructured":"Hoylman, D.J.: The densest lattice packing of tetrahedra. Bull. Am. Math. Soc. 76, 135 (1970)","journal-title":"Bull. Am. Math. Soc."},{"issue":"1","key":"9254_CR8","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1007\/BF02187800","volume":"5","author":"G. Kuperberg","year":"1990","unstructured":"Kuperberg, G., Kuperberg, W.: Double-lattice packings of convex bodies in the plane. Discrete Comput. Geom. 5(1), 389 (1990)","journal-title":"Discrete Comput. Geom."},{"key":"9254_CR9","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1103\/RevModPhys.64.3","volume":"64","author":"N.D. Mermin","year":"1992","unstructured":"Mermin, N.D.: The space groups of icosahedral quasicrystals and cubic, orthorhombic, monoclinic, and triclinic crystals. Rev. Mod. Phys. 64, 3 (1992)","journal-title":"Rev. Mod. Phys."},{"key":"9254_CR10","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.80.041104","volume":"80","author":"S. Torquato","year":"2009","unstructured":"Torquato, S., Jiao, Y.: Dense packings of polyhedra: Platonic and Archimedean solids. Phys. Rev. E 80, 041104 (2009)","journal-title":"Phys. Rev. E"},{"key":"9254_CR11","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1038\/nature08239","volume":"460","author":"S. Torquato","year":"2009","unstructured":"Torquato, S., Jiao, Y.: Dense packings of the Platonic and Archimedean solids. Nature 460, 876 (2009)","journal-title":"Nature"}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-010-9254-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-010-9254-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-010-9254-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T23:50:32Z","timestamp":1559087432000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-010-9254-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3,3]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["9254"],"URL":"https:\/\/doi.org\/10.1007\/s00454-010-9254-3","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3,3]]}}}