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(1984)
J. Math. Phys
S. Hirsch (2016)
Reflection Groups And Coxeter Groups
H. Jones (1990)
Groups, representations, and physics
(Humphreys, J. (1990). Reflection Groups and Coxeter Groups. Cambridge University Press.)
Humphreys, J. (1990). Reflection Groups and Coxeter Groups. Cambridge University Press.Humphreys, J. (1990). Reflection Groups and Coxeter Groups. Cambridge University Press., Humphreys, J. (1990). Reflection Groups and Coxeter Groups. Cambridge University Press.
(The GAP Group (2013). GAP – Groups, Algorithms, and Programming, Version 4.7.2. http://www.gap-system.org.)
The GAP Group (2013). GAP – Groups, Algorithms, and Programming, Version 4.7.2. http://www.gap-system.org.The GAP Group (2013). GAP – Groups, Algorithms, and Programming, Version 4.7.2. http://www.gap-system.org., The GAP Group (2013). GAP – Groups, Algorithms, and Programming, Version 4.7.2. http://www.gap-system.org.
(Jones, H. (1990). Groups, Representations and Physics. Institute of Physics Publishing.)
Jones, H. (1990). Groups, Representations and Physics. Institute of Physics Publishing.Jones, H. (1990). Groups, Representations and Physics. Institute of Physics Publishing., Jones, H. (1990). Groups, Representations and Physics. Institute of Physics Publishing.
W. Steurer (2004)
Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystalsZeitschrift für Kristallographie - Crystalline Materials, 219
W. Fulton, J. Harris (1991)
Representation Theory: A First Course
(1988)
J. Phys. France
(Kramer, P. & Haase, R. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press.)
Kramer, P. & Haase, R. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press.Kramer, P. & Haase, R. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press., Kramer, P. & Haase, R. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press.
(Senechal, M. (1995). Quasicrystals and Geometry. Cambridge University Press.)
Senechal, M. (1995). Quasicrystals and Geometry. Cambridge University Press.Senechal, M. (1995). Quasicrystals and Geometry. Cambridge University Press., Senechal, M. (1995). Quasicrystals and Geometry. Cambridge University Press.
(Hoyle, R. (2004). Physica D, 191, 261–281.)
Hoyle, R. (2004). Physica D, 191, 261–281.Hoyle, R. (2004). Physica D, 191, 261–281., Hoyle, R. (2004). Physica D, 191, 261–281.
(Katz, A. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press.)
Katz, A. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press.Katz, A. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press., Katz, A. (1989). In Introduction to the Mathematics of Quasicrystals, edited by M. Jarić. New York: Academic Press.
A. Katz (1989)
Some Local Properties of the Three-Dimensional Penrose Tilings, 2
(Indelicato, G., Keef, T., Cermelli, P., Salthouse, D., Twarock, R. & Zanzotto, G. (2012). Proc. R. Soc. A, 468, 1452–1471.)
Indelicato, G., Keef, T., Cermelli, P., Salthouse, D., Twarock, R. & Zanzotto, G. (2012). Proc. R. Soc. A, 468, 1452–1471.Indelicato, G., Keef, T., Cermelli, P., Salthouse, D., Twarock, R. & Zanzotto, G. (2012). Proc. R. Soc. A, 468, 1452–1471., Indelicato, G., Keef, T., Cermelli, P., Salthouse, D., Twarock, R. & Zanzotto, G. (2012). Proc. R. Soc. A, 468, 1452–1471.
(Fulton, W. & Harris, J. (1991). Representation Theory: A First Course. Springer-Verlag.)
Fulton, W. & Harris, J. (1991). Representation Theory: A First Course. Springer-Verlag.Fulton, W. & Harris, J. (1991). Representation Theory: A First Course. Springer-Verlag., Fulton, W. & Harris, J. (1991). Representation Theory: A First Course. Springer-Verlag.
G. Janusz, J. Rotman (1982)
Outer Automorphisms of S 6American Mathematical Monthly, 89
(2006)
Computational group theory problems arising from computational design theory
(Indelicato, G., Cermelli, P., Salthouse, D., Racca, S., Zanzotto, G. & Twarock, R. (2011). J. Math. Biol. 64, 745–773.)
Indelicato, G., Cermelli, P., Salthouse, D., Racca, S., Zanzotto, G. & Twarock, R. (2011). J. Math. Biol. 64, 745–773.Indelicato, G., Cermelli, P., Salthouse, D., Racca, S., Zanzotto, G. & Twarock, R. (2011). J. Math. Biol. 64, 745–773., Indelicato, G., Cermelli, P., Salthouse, D., Racca, S., Zanzotto, G. & Twarock, R. (2011). J. Math. Biol. 64, 745–773.
(Humphreys, J. (1996). A Course in Group Theory. Oxford University Press.)
Humphreys, J. (1996). A Course in Group Theory. Oxford University Press.Humphreys, J. (1996). A Course in Group Theory. Oxford University Press., Humphreys, J. (1996). A Course in Group Theory. Oxford University Press.
(2012)
Proc
(1987)
Acta Cryst. A43
(Levitov, L. & Rhyner, J. (1988). J. Phys. France, 49, 1835–1849.)
Levitov, L. & Rhyner, J. (1988). J. Phys. France, 49, 1835–1849.Levitov, L. & Rhyner, J. (1988). J. Phys. France, 49, 1835–1849., Levitov, L. & Rhyner, J. (1988). J. Phys. France, 49, 1835–1849.
(Zappa, E., Indelicato, G., Albano, A. & Cermelli, P. (2013). Int. J. Non-Linear Mech. 56, 71–78.)
Zappa, E., Indelicato, G., Albano, A. & Cermelli, P. (2013). Int. J. Non-Linear Mech. 56, 71–78.Zappa, E., Indelicato, G., Albano, A. & Cermelli, P. (2013). Int. J. Non-Linear Mech. 56, 71–78., Zappa, E., Indelicato, G., Albano, A. & Cermelli, P. (2013). Int. J. Non-Linear Mech. 56, 71–78.
(2013)
GAP – Groups, Algorithms, and Programming
(Steurer, W. (2004). Z. Kristallogr. 219, 391–446.)
Steurer, W. (2004). Z. Kristallogr. 219, 391–446.Steurer, W. (2004). Z. Kristallogr. 219, 391–446., Steurer, W. (2004). Z. Kristallogr. 219, 391–446.
G. Indelicato, T. Keef, P. Cermelli, D. Salthouse, R. Twarock, G. Zanzotto (2012)
Structural transformations in quasicrystals induced by higher dimensional lattice transitionsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468
(2004)
Z. Kristallogr
(Soicher, L. (2006). Oberwolfach Rep. 3, 1809–1811. Report 30/2006.)
Soicher, L. (2006). Oberwolfach Rep. 3, 1809–1811. Report 30/2006.Soicher, L. (2006). Oberwolfach Rep. 3, 1809–1811. Report 30/2006., Soicher, L. (2006). Oberwolfach Rep. 3, 1809–1811. Report 30/2006.
(Cvetkovic, D., Doob, M. & Sachs, H. (1995). Spectra of Graphs. Heidelberg, Leipzig: Johann Ambrosius Barth.)
Cvetkovic, D., Doob, M. & Sachs, H. (1995). Spectra of Graphs. Heidelberg, Leipzig: Johann Ambrosius Barth.Cvetkovic, D., Doob, M. & Sachs, H. (1995). Spectra of Graphs. Heidelberg, Leipzig: Johann Ambrosius Barth., Cvetkovic, D., Doob, M. & Sachs, H. (1995). Spectra of Graphs. Heidelberg, Leipzig: Johann Ambrosius Barth.
GAP – Groups , Algorithms , and Programming , Version 4 . 7 . 2
(1982)
Am. Math. Mon
F. Axel, F. Dénoyer, J. Gazeau (2000)
From Quasicrystals to More Complex Systems
(Pitteri, M. & Zanzotto, G. (2002). Continuum Models for Phase Transitions and Twinning in Crystals. London: CRC/Chapman and Hall.)
Pitteri, M. & Zanzotto, G. (2002). Continuum Models for Phase Transitions and Twinning in Crystals. London: CRC/Chapman and Hall.Pitteri, M. & Zanzotto, G. (2002). Continuum Models for Phase Transitions and Twinning in Crystals. London: CRC/Chapman and Hall., Pitteri, M. & Zanzotto, G. (2002). Continuum Models for Phase Transitions and Twinning in Crystals. London: CRC/Chapman and Hall.
P. Kramer (1987)
Continuous rotation from cubic to icosahedral orderActa Crystallographica Section A, 43
(2011)
J. Math. Biol
E. Buffa (1977)
Graph Theory with ApplicationsJournal of the Operational Research Society
P. Kramer, R. Haase (1989)
Group Theory of Icosahedral Quasicrystals, 2
(2013)
Int. J. Non-Linear Mech
P. Kramer, D. Zeidler (1989)
Structure Factors for Icosahedral QuasicrystalsActa Crystallographica Section A, 45
(Foulds, L. (1992). Graph Theory Applications. New York: Springer-Verlag.)
Foulds, L. (1992). Graph Theory Applications. New York: Springer-Verlag.Foulds, L. (1992). Graph Theory Applications. New York: Springer-Verlag., Foulds, L. (1992). Graph Theory Applications. New York: Springer-Verlag.
(Kramer, P. (1987). Acta Cryst. A43, 486–489.)
Kramer, P. (1987). Acta Cryst. A43, 486–489.Kramer, P. (1987). Acta Cryst. A43, 486–489., Kramer, P. (1987). Acta Cryst. A43, 486–489.
(2014)
Subgroup structure of the hyperoctahedral group Acta Cryst
Emilio Zappa, G. Indelicato, A. Albano, P. Cermelli (2013)
A Ginzburg–Landau model for the expansion of a dodecahedral viral capsidInternational Journal of Non-linear Mechanics, 56
J. Humphreys (1996)
A Course in Group Theory
(Janusz, G. & Rotman, J. (1982). Am. Math. Mon. 89, 407–410.)
Janusz, G. & Rotman, J. (1982). Am. Math. Mon. 89, 407–410.Janusz, G. & Rotman, J. (1982). Am. Math. Mon. 89, 407–410., Janusz, G. & Rotman, J. (1982). Am. Math. Mon. 89, 407–410.
(Artin, M. (1991). Algebra. New York: Prentice Hall.)
Artin, M. (1991). Algebra. New York: Prentice Hall.Artin, M. (1991). Algebra. New York: Prentice Hall., Artin, M. (1991). Algebra. New York: Prentice Hall.
M. Jarić (1989)
Introduction to the mathematics of quasicrystals
J. Humphreys (1990)
Reflection groups and Coxeter groups: Coxeter groups
(2012)
Proc. R. Soc. A
(Baake, M. (1984). J. Math. Phys. 25, 3171–3182.)
Baake, M. (1984). J. Math. Phys. 25, 3171–3182.Baake, M. (1984). J. Math. Phys. 25, 3171–3182., Baake, M. (1984). J. Math. Phys. 25, 3171–3182.
R. Hoyle (2004)
Shapes and cycles arising at the steady bifurcation with icosahedral symmetryPhysica D: Nonlinear Phenomena, 191
(2004)
Physica D
(1989)
Acta Cryst. A45
(Horn, R. & Johnson, C. (1985). Matrix Analysis. Cambridge University Press.)
Horn, R. & Johnson, C. (1985). Matrix Analysis. Cambridge University Press.Horn, R. & Johnson, C. (1985). Matrix Analysis. Cambridge University Press., Horn, R. & Johnson, C. (1985). Matrix Analysis. Cambridge University Press.
M. Baake, D. Damanik, U. Grimm (2002)
What is Aperiodic OrderNotices of the American Mathematical Society, 63
L. Levitov, J. Rhyner (1988)
Crystallography of quasicrystals; application to icosahedral symmetryJournal De Physique, 49
Cvetkovi cacute, M. Vs, Michael Doob, H. Sachs (1980)
Spectra of graphs
M. Pitteri, G. Zanzotto (2002)
Continuum Models for Phase Transitions and Twinning in Crystals
(2006)
Oberwolfach Rep
P. Paufler (1997)
Quasicrystals and Geometry
R. Moody (2000)
Model Sets: A SurveyarXiv: Metric Geometry
(Kramer, P. & Zeidler, D. (1989). Acta Cryst. A45, 524–533.)
Kramer, P. & Zeidler, D. (1989). Acta Cryst. A45, 524–533.Kramer, P. & Zeidler, D. (1989). Acta Cryst. A45, 524–533., Kramer, P. & Zeidler, D. (1989). Acta Cryst. A45, 524–533.
G. Indelicato, P. Cermelli, D. Salthouse, Simone Racca, G. Zanzotto, R. Twarock (2012)
A crystallographic approach to structural transitions in icosahedral virusesJournal of Mathematical Biology, 64
M. Baake (1984)
Structure and representations of the hyperoctahedral groupJournal of Mathematical Physics, 25
(2004)
Physica D, 191, 261–281
(Baake, M. & Grimm, U. (2013). Aperiodic Order, Vol. 1. Cambridge University Press.)
Baake, M. & Grimm, U. (2013). Aperiodic Order, Vol. 1. Cambridge University Press.Baake, M. & Grimm, U. (2013). Aperiodic Order, Vol. 1. Cambridge University Press., Baake, M. & Grimm, U. (2013). Aperiodic Order, Vol. 1. Cambridge University Press.
(Moody, R. (2000). In From Quasicrystals to More Complex Systems, edited by F. Axel, F. Dénoyer & J. P. Gazeau. Springer-Verlag.)
Moody, R. (2000). In From Quasicrystals to More Complex Systems, edited by F. Axel, F. Dénoyer & J. P. Gazeau. Springer-Verlag.Moody, R. (2000). In From Quasicrystals to More Complex Systems, edited by F. Axel, F. Dénoyer & J. P. Gazeau. Springer-Verlag., Moody, R. (2000). In From Quasicrystals to More Complex Systems, edited by F. Axel, F. Dénoyer & J. P. Gazeau. Springer-Verlag.
The subgroup structure of the hyperoctahedral group in six dimensions is investigated. In particular, the subgroups isomorphic to the icosahedral group are studied. The orthogonal crystallographic representations of the icosahedral group are classified and their intersections and subgroups analysed, using results from graph theory and their spectra.
Acta Crystallographica Section A: Foundations and Advances – Wiley
Published: Sep 1, 2014
Keywords: ; ; ; ;
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