Affine coxeter group Wa(A4), quaternions, and decagonal quasicrystals (original) (raw)

Affine Wa(A4), Quaternions, and Decagonal Quasicrystals

Ramazan Koc

2012

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FCC, BCC and SC Lattices Derived from the Coxeter-Weyl groups and quaternions

Nazife Koca

Sultan Qaboos University Journal for Science [SQUJS], 2014

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Quaternionic Roots of E 8 Related Coxeter Graphs and Quasicrystals

Mehmet Koca

1998

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Polyhedra obtained from Coxeter groups and quaternions

mehmet koca

Journal of Mathematical Physics, 2007

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Affine Dihedral Subgroups of Higher Dimensional Cubic Lattices mathbbZn\mathbb{Z}^nmathbbZn and Quasicrystallography

Nazife Koca

arXiv (Cornell University), 2023

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Quaternionic Representations of the Pyritohedral Group, Related Polyhedra and Lattices

Nazife Koca

arXiv: Mathematical Physics, 2015

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12-fold Quasicrystallography from affine F4, B6, and E6

Nazife Koca

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Twelvefold symmetric quasicrystallography from the lattices F 4 , B 6 and E 6

mehmet koca

Acta Crystallographica Section A Foundations and Advances, 2014

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Regular and Semi-Regular 4D-Polytopes of the Coxeter-Weyl Group W (SO (9)) and Quaternions

Ramazan Koc

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4D-POLYTOPES AND THEIR DUAL POLYTOPES OF THE COXETER GROUP W(A 4 ) REPRESENTED BY QUATERNIONS

mehmet koca

International Journal of Geometric Methods in Modern Physics, 2012

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From Affine A_4A_4A4 to Affine H2H_2H_2: Group Theoretical Analysis of Penrose-like Tilings

Nazife Koca

arXiv (Cornell University), 2021

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Branching of the W(H_4) polytopes and their dual polytopes under the coxeter groups W(A_4) and W(H_3) represented by quaternions

Nazife Koca

Turkish Journal of Physics

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COXETER GROUPS, QUATERNIONS, SYMMETRIES OF POLYHEDRA AND 4D POLYTOPES

mehmet koca

Mathematical Physics, 2012

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From affine A 4 to affine H 2: group-theoretical analysis of fivefold symmetric tilings

Ramazan Koc

Acta Crystallographica Section A Foundations and Advances

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The space groups of axial crystals and quasicrystals

Daniel Rokhsar

Reviews of Modern Physics, 1991

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Chiral Polyhedra Derived from Coxeter Diagrams and Quaternions

Nazife Koca

Sultan Qaboos University Journal for Science [SQUJS], 2011

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From affine A 4 to affine H 2: group-theoretical analysis of fivefold symmetric tilings

Nazife Koca

Acta Crystallographica, 2022

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Regular and Irregular Chiral Polyhedra from Coxeter Diagrams via Quaternions

Nazife Koca

Symmetry, 2017

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Group Theoretical Analysis of Quasicrystallography from Projections of Higher Dimensional Lattices Bn

Ramazan Koc

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{"__content__"=>"Explicit construction of the Voronoi and Delaunay cells of W(A) and W(D) lattices and their facets.", "sub"=>[{"__content__"=>"n"}, {"__content__"=>"n"}]}

Nazife Koca

Acta crystallographica. Section A, Foundations and advances, 2018

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Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional lattices Bn

Ramazan Koc

Acta crystallographica. Section A, Foundations and advances, 2015

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Representations of the Icosahedral Group with Application to Quasicrystals

Nicolae Cotfas

Ferroelectrics, 2004

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Catalan solids derived from three-dimensional-root systems and quaternions

mehmet koca

Journal of Mathematical Physics, 2010

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Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions

Ramazan Koc

Journal of Physics A: Mathematical and Theoretical, 2007

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D-V cells and fundamental domains for crystallographic groups, algorithms, and graphic realizations

Emil MOLNÁR

Mathematical and Computer Modelling, 2003

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Novel Kac–Moody-type affine extensions of non-crystallographic Coxeter groups

Pierre Dechant

Journal of Physics A-mathematical and Theoretical, 2012

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Noncrystallographic Coxeter group H 4 in E 8

Muataz Al Barwani

J. Phys. A: Math. Gen., 2001

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4d-polytopes described by Coxeter diagrams and quaternions

Nazife Koca

Journal of physics, 2011

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Polyhedra of three quasilattices associated with the icosahedral group

Haresh Lalvani

Acta Crystallographica Section A, 1987

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