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References
- COXETER, H.S.M. and MOSER, W.O.J. Generators and Relations for Discrete Groups Springer-Verlag, 1965.
- WEINBERG, S. A Model of Leptons. Phys. Rev. Lett., 1967, 19: 1264-1266.
- SALAM, A. Elementary Particle Theory: Relativistic Groups and Analyticity. Eighth Nobel Symposium, Stockholm (ed. N. Svartholm), 1968, 367-377.
- FRITZSCH, H., GELL-MANN, M. and LEUTWYLER, H. Advantages of the Colour Octet Gluon Picture. Phys. Lett.B, 1973, 47: 365-368.
- GEORGI, H. and GLASHOW, S. Unity of all elementary-particle forces. Phys. Rev. Lett., 1974, 32: 438-441.
- FRITZSCH, H. and MINKOWSKI, P. Unified interactions of leptons and hadrons. Ann. Phys. 1975, 93: 193-266.
- GÜRSEY, F., RAMOND, P. and SIKIVIE, P. A universal gauge theory model based on E6. Phys. Lett.B, 1976, 60: 177-186.
- KOCA, M., KOC, R. and AL-AJMI, M. Polyhedra obtained from Coxeter groups and quaternions. J. Math. Phys., 2007, 48: 113514-113527.
- KOCA, M., KOCA, N.O. and KOC, R. Catalan Solids Derived From 3D-Root System. J. Math. Phys., 2010, 51: 043501-043513.
- COTTON, F.S., WILKINSON, G., MURILLO, C.A. and BOCHMANN, M. Advanced Inorganic Chemistry (6th Edition) Wiley-Inter science, New York, 1999.
- CASPAR, D.L.D. and KLUG, A. Physical Principles in Construction of Regular Viruses. Cold Spring Harbor Symp. Quant. Biol., 1962, 27: 1-24.
- TWAROCK, R. A Mathematical Physicist’s Approach to the Structure and Assembly of Viruses. Phil. Trans. R. Soc.A, 2006, 364: 3357-3374.
- KATZ, A. and DUNEAU, M. Quasiperiodic patterns and icosahedral symmetry. J. Phys. France, 1986, 47: 181-196.
- ELSER, V. The diffraction pattern of projected structures. Acta Cryst. A, 1986, 42: 36-43.
- BAAKE, M., JOSEPH, D., KRAMER, P. and SCHLOTTMANN, M. Root lattices and quasicrystals. J. Phys. Math.and Gen. A, 1990, 23: L1037-L1041.
- BAAKE, M., KRAMER, P., SCHLOTTMANN, M. and ZEIDLER, D. Planar patterns with fivefold symmetry as sections of periodic structures in 4-space. Int. J. Mod. Phys. B, 1990, 4: 2217-2268.
- CONWAY, J.H. and SLOANE, N.J.A. Sphere Packings, Lattices and Groups Springer-Verlag, New York, 1988.
- KOCA, M., KOCA, N.O. and KOC, R. 12-fold Symmetric Quasicrystallography from Higher Dimensional Lattices, 2013, arXiv: 1306.3316v2.
- GEIM, A.K. and NOVOSOLEV, K.S. The rise of graphene. Nature Materials 2007, 6 (3): 183-191.
- HAMILTON, S.W. R. Lectures on Quaternions London : Whittaker, 1853.
- KOCA, M., KOC, R., AL-BARWANI, M. Noncrystallographic Coxeter group H4 in E8. J. Phys. A: Math. Gen. A, 2001, 34: 11201-11213.
- CONWAY, J.H. and SMITH, D.A. On Quaternions and Octonions: Their Geometry, Arithmetics, and Symmetry A.K. Peters, Ltd. Natick, M.A., 2003.
- KOCA, M., KOCA, N.O. and AL-SHUEILI, M. Chiral Polyhedra Derived from Coxeter Diagrams and Quaternions. SQU journal for Science, 2011, 16: 82-101.
- ASHCROFT, N.W. and MERMIN, N.D. Solid State Physics, W.B. Saunders Company, 1976.
References
COXETER, H.S.M. and MOSER, W.O.J. Generators and Relations for Discrete Groups Springer-Verlag, 1965.
WEINBERG, S. A Model of Leptons. Phys. Rev. Lett., 1967, 19: 1264-1266.
SALAM, A. Elementary Particle Theory: Relativistic Groups and Analyticity. Eighth Nobel Symposium, Stockholm (ed. N. Svartholm), 1968, 367-377.
FRITZSCH, H., GELL-MANN, M. and LEUTWYLER, H. Advantages of the Colour Octet Gluon Picture. Phys. Lett.B, 1973, 47: 365-368.
GEORGI, H. and GLASHOW, S. Unity of all elementary-particle forces. Phys. Rev. Lett., 1974, 32: 438-441.
FRITZSCH, H. and MINKOWSKI, P. Unified interactions of leptons and hadrons. Ann. Phys. 1975, 93: 193-266.
GÜRSEY, F., RAMOND, P. and SIKIVIE, P. A universal gauge theory model based on E6. Phys. Lett.B, 1976, 60: 177-186.
KOCA, M., KOC, R. and AL-AJMI, M. Polyhedra obtained from Coxeter groups and quaternions. J. Math. Phys., 2007, 48: 113514-113527.
KOCA, M., KOCA, N.O. and KOC, R. Catalan Solids Derived From 3D-Root System. J. Math. Phys., 2010, 51: 043501-043513.
COTTON, F.S., WILKINSON, G., MURILLO, C.A. and BOCHMANN, M. Advanced Inorganic Chemistry (6th Edition) Wiley-Inter science, New York, 1999.
CASPAR, D.L.D. and KLUG, A. Physical Principles in Construction of Regular Viruses. Cold Spring Harbor Symp. Quant. Biol., 1962, 27: 1-24.
TWAROCK, R. A Mathematical Physicist’s Approach to the Structure and Assembly of Viruses. Phil. Trans. R. Soc.A, 2006, 364: 3357-3374.
KATZ, A. and DUNEAU, M. Quasiperiodic patterns and icosahedral symmetry. J. Phys. France, 1986, 47: 181-196.
ELSER, V. The diffraction pattern of projected structures. Acta Cryst. A, 1986, 42: 36-43.
BAAKE, M., JOSEPH, D., KRAMER, P. and SCHLOTTMANN, M. Root lattices and quasicrystals. J. Phys. Math.and Gen. A, 1990, 23: L1037-L1041.
BAAKE, M., KRAMER, P., SCHLOTTMANN, M. and ZEIDLER, D. Planar patterns with fivefold symmetry as sections of periodic structures in 4-space. Int. J. Mod. Phys. B, 1990, 4: 2217-2268.
CONWAY, J.H. and SLOANE, N.J.A. Sphere Packings, Lattices and Groups Springer-Verlag, New York, 1988.
KOCA, M., KOCA, N.O. and KOC, R. 12-fold Symmetric Quasicrystallography from Higher Dimensional Lattices, 2013, arXiv: 1306.3316v2.
GEIM, A.K. and NOVOSOLEV, K.S. The rise of graphene. Nature Materials 2007, 6 (3): 183-191.
HAMILTON, S.W. R. Lectures on Quaternions London : Whittaker, 1853.
KOCA, M., KOC, R., AL-BARWANI, M. Noncrystallographic Coxeter group H4 in E8. J. Phys. A: Math. Gen. A, 2001, 34: 11201-11213.
CONWAY, J.H. and SMITH, D.A. On Quaternions and Octonions: Their Geometry, Arithmetics, and Symmetry A.K. Peters, Ltd. Natick, M.A., 2003.
KOCA, M., KOCA, N.O. and AL-SHUEILI, M. Chiral Polyhedra Derived from Coxeter Diagrams and Quaternions. SQU journal for Science, 2011, 16: 82-101.
ASHCROFT, N.W. and MERMIN, N.D. Solid State Physics, W.B. Saunders Company, 1976.