-
1
-
-
84863969579
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.86.011102
-
S. Torquato and Y. Jiao, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.011102 86, 011102 (2012).
-
(2012)
Phys. Rev. e
, vol.86
, pp. 011102
-
-
Torquato, S.1
Jiao, Y.2
-
2
-
-
0003854585
-
-
in Elsevier, Amsterdam
-
J. D. Bernal, in Liquids: Structure, Properties, Solid Interactions (Elsevier, Amsterdam, 1965), pp. 25-50.
-
(1965)
Liquids: Structure, Properties, Solid Interactions
, pp. 25-50
-
-
Bernal, J.D.1
-
7
-
-
0024620936
-
-
MAMOBX 0024-9297 10.1021/ma00193a024
-
T. Yamaguchi, T. Asada, H. Hayashi, and N. Nakamura, Macromolecules MAMOBX 0024-9297 10.1021/ma00193a024 22, 1141 (1989).
-
(1989)
Macromolecules
, vol.22
, pp. 1141
-
-
Yamaguchi, T.1
Asada, T.2
Hayashi, H.3
Nakamura, N.4
-
8
-
-
0034901412
-
-
BIOJAU 0006-3495 10.1016/S0006-3495(01)75739-6
-
J. Liang and K. A. Dill, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(01)75739-6 81, 751 (2001).
-
(2001)
Biophys. J.
, vol.81
, pp. 751
-
-
Liang, J.1
Dill, K.A.2
-
9
-
-
0037452893
-
Mechanics of DNA packaging in viruses
-
DOI 10.1073/pnas.0737893100
-
P. K. Purohit, J. Kondev, and R. Phillips, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0737893100 100, 3173 (2003). (Pubitemid 36356558)
-
(2003)
Proceedings of the National Academy of Sciences of the United States of America
, vol.100
, Issue.6
, pp. 3173-3178
-
-
Purohit, P.K.1
Kondev, J.2
Phillips, R.3
-
10
-
-
50949104334
-
-
1553-734X 10.1371/journal.pcbi.1000152
-
J. L. Gevertz and S. Torquato, PLoS Comput. Biol. 1553-734X 10.1371/journal.pcbi.1000152 4, e1000152 (2008).
-
(2008)
PLoS Comput. Biol.
, vol.4
, pp. 1000152
-
-
Gevertz, J.L.1
Torquato, S.2
-
12
-
-
0141957177
-
-
LANGD5 0743-7463 10.1021/la030165w
-
W. Azzam, P. Cyganik, G. Witte, M. Buck, and C. Wll, Langmuir LANGD5 0743-7463 10.1021/la030165w 19, 8262 (2003).
-
(2003)
Langmuir
, vol.19
, pp. 8262
-
-
Azzam, W.1
Cyganik, P.2
Witte, G.3
Buck, M.4
Wll, C.5
-
13
-
-
2342467381
-
-
JPCBFK 1520-6106 10.1021/jp037307f
-
P. Cyganik, M. Buck, W. Azzam, and C. Wll, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp037307f 108, 4989 (2004).
-
(2004)
J. Phys. Chem. B
, vol.108
, pp. 4989
-
-
Cyganik, P.1
Buck, M.2
Azzam, W.3
Wll, C.4
-
14
-
-
39149130598
-
The Influence of Cell Mechanics, Cell-Cell Interactions, and Proliferation on Epithelial Packing
-
DOI 10.1016/j.cub.2007.11.049, PII S0960982207023342
-
R. Farhadifar, J.-C. Rper, B. Aigouy, S. Eaton, and F. Jlicher, Curr. Biol. CUBLE2 0960-9822 10.1016/j.cub.2007.11.049 17, 2095 (2007). (Pubitemid 50014864)
-
(2007)
Current Biology
, vol.17
, Issue.24
, pp. 2095-2104
-
-
Farhadifar, R.1
Roper, J.-C.2
Aigouy, B.3
Eaton, S.4
Julicher, F.5
-
15
-
-
28444457747
-
Hexagonal packing of Drosophila wing epithelial cells by the planar cell polarity pathway
-
DOI 10.1016/j.devcel.2005.10.016, PII S153458070500420X
-
A.-K. Classen, K. I. Anderson, E. Marois, and S. Eaton, Developmental Cell 1534-5807 10.1016/j.devcel.2005.10.016 9, 805 (2005). (Pubitemid 41724108)
-
(2005)
Developmental Cell
, vol.9
, Issue.6
, pp. 805-817
-
-
Classen, A.-K.1
Anderson, K.I.2
Marois, E.3
Eaton, S.4
-
16
-
-
0004279601
-
-
Cambridge University Press, Cambridge, UK
-
C. A. Rogers, Packing and Covering (Cambridge University Press, Cambridge, UK, 1964).
-
(1964)
Packing and Covering
-
-
Rogers, C.A.1
-
17
-
-
33744706731
-
-
ACMAA8 0001-5962 10.1007/BF02392671
-
C. A. Rogers, Acta Math ACMAA8 0001-5962 10.1007/BF02392671 86, 309 (1951).
-
(1951)
Acta Math
, vol.86
, pp. 309
-
-
Rogers, C.A.1
-
19
-
-
84968500057
-
-
0273-0979 10.1090/S0273-0979-1980-14827-2
-
B. Grünbaum and G. Shephard, Bull. Amer. Math Soc. 0273-0979 10.1090/S0273-0979-1980-14827-2 3, 951 (1980).
-
(1980)
Bull. Amer. Math Soc.
, vol.3
, pp. 951
-
-
Grünbaum, B.1
Shephard, G.2
-
20
-
-
0001250041
-
-
JCBTA7 0097-3165 10.1016/0097-3165(90)90057-4
-
J. H. Conway and J. Lagarias, J. Comb. Theory, Ser. A JCBTA7 0097-3165 10.1016/0097-3165(90)90057-4 53, 183 (1990).
-
(1990)
J. Comb. Theory, Ser. A
, vol.53
, pp. 183
-
-
Conway, J.H.1
Lagarias, J.2
-
21
-
-
0041017787
-
-
1361-6447 10.1088/0305-4470/19/17/027
-
J. H. Conway and K. M. Knowles, J. Phys. A 1361-6447 10.1088/0305-4470/ 19/17/027 19, 3645 (1986).
-
(1986)
J. Phys. A
, vol.19
, pp. 3645
-
-
Conway, J.H.1
Knowles, K.M.2
-
23
-
-
0010738983
-
-
AMHAAJ 0025-5858 10.1007/BF02940676
-
K. Reinhardt, Abh. Math. Sem. Hamburg AMHAAJ 0025-5858 10.1007/BF02940676 10, 216 (1934).
-
(1934)
Abh. Math. Sem. Hamburg
, vol.10
, pp. 216
-
-
Reinhardt, K.1
-
24
-
-
4243841709
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.34.797
-
C. L. Henley, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.34.797 34, 797 (1986).
-
(1986)
Phys. Rev. B
, vol.34
, pp. 797
-
-
Henley, C.L.1
-
27
-
-
41349094741
-
Monte Carlo study of hard pentagons
-
DOI 10.1103/PhysRevE.71.036138, 036138
-
T. Schilling, S. Pronk, B. Mulder, and D. Frenkel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.036138 71, 036138 (2005). (Pubitemid 40619813)
-
(2005)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.71
, Issue.3
-
-
Schilling, T.1
Pronk, S.2
Mulder, B.3
Frenkel, D.4
-
29
-
-
84866410375
-
-
DUMJAO 0012-7094 10.1215/S0012-7094-46-01351-8
-
K. Mahler, Duke Math J. DUMJAO 0012-7094 10.1215/S0012-7094-46-01351-8 13, 611 (1946).
-
(1946)
Duke Math J.
, vol.13
, pp. 611
-
-
Mahler, K.1
-
30
-
-
68949093616
-
-
NATUAS 0028-0836 10.1038/nature08239
-
S. Torquato and Y. Jiao, Nature (London) NATUAS 0028-0836 10.1038/nature08239 460, 876 (2009).
-
(2009)
Nature (London)
, vol.460
, pp. 876
-
-
Torquato, S.1
Jiao, Y.2
-
31
-
-
70350075655
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.80.041104
-
S. Torquato and Y. Jiao, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.041104 80, 041104 (2009).
-
(2009)
Phys. Rev. e
, vol.80
, pp. 041104
-
-
Torquato, S.1
Jiao, Y.2
-
32
-
-
78651434001
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.82.061302
-
S. Torquato and Y. Jiao, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.061302 82, 061302 (2010).
-
(2010)
Phys. Rev. e
, vol.82
, pp. 061302
-
-
Torquato, S.1
Jiao, Y.2
-
33
-
-
84866420263
-
-
See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.86.031302 for mathematical details for the packing structures presented in this paper.
-
-
-
-
34
-
-
79953150763
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.83.036703
-
Y. Kallus and V. Elser, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.036703 83, 036703 (2011).
-
(2011)
Phys. Rev. e
, vol.83
, pp. 036703
-
-
Kallus, Y.1
Elser, V.2
-
36
-
-
45749123469
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.100.245504
-
Y. Jiao, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.245504 100, 245504 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 245504
-
-
Jiao, Y.1
Stillinger, F.H.2
Torquato, S.3
-
37
-
-
84866395942
-
-
Ph.D. thesis, Königlichen Universität zu Frankfurt
-
K. Reinhardt, Ph.D. thesis, Königlichen Universität zu Frankfurt, 1918 (unpublished).
-
(1918)
-
-
Reinhardt, K.1
-
38
-
-
0346288811
-
-
AMMYAE 0002-9890 10.2307/2314332
-
R. B. Kershner, Am. Math. Mon. AMMYAE 0002-9890 10.2307/2314332 75, 839 (1968).
-
(1968)
Am. Math. Mon.
, vol.75
, pp. 839
-
-
Kershner, R.B.1
-
40
-
-
84866390834
-
-
We do not consider particle shapes derived from applying trivial perturbations (that is, those that do not alter the densest packing structure) to shapes that form tilings.
-
We do not consider particle shapes derived from applying trivial perturbations (that is, those that do not alter the densest packing structure) to shapes that form tilings.
-
-
-
|