TY - JOUR
T1 - Penrose-like tilings from projection of affine A4to affine H2
AU - Koca, Nazife O.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2023
Y1 - 2023
N2 - The present work offers a different perspective for the 5-fold symmetric quasicrystallography by employing affine H 2 as a subgroup of affine A 4. It is shown that the projection of the Voronoi cell of the root lattice A 4 can be dissociated as identical five decagons up to a rotation tiled by thick and thin rhombuses. Projection of the Voronoi cell of the weight lattice onto the Coxeter plane tessellates the plane with four different tiles: thick and thin rhombuses with different edge lengths and two types of hexagons. Structure of the local dihedral symmetry H 2 fixing a particular point on the Coxeter plane is determined.
AB - The present work offers a different perspective for the 5-fold symmetric quasicrystallography by employing affine H 2 as a subgroup of affine A 4. It is shown that the projection of the Voronoi cell of the root lattice A 4 can be dissociated as identical five decagons up to a rotation tiled by thick and thin rhombuses. Projection of the Voronoi cell of the weight lattice onto the Coxeter plane tessellates the plane with four different tiles: thick and thin rhombuses with different edge lengths and two types of hexagons. Structure of the local dihedral symmetry H 2 fixing a particular point on the Coxeter plane is determined.
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U2 - 10.1088/1742-6596/2461/1/012008
DO - 10.1088/1742-6596/2461/1/012008
M3 - Conference article
AN - SCOPUS:85152635675
SN - 1742-6588
VL - 2461
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012008
T2 - 10th International Conference on Aperiodic Crystals, Aperiodic 2022
Y2 - 20 June 2022 through 24 June 2022
ER -