Constructing a dodecagonal structure by projection in two stages
Source abstract
Abstract
I projected a 4D simple cubic lattice into 3D so that a further projection to 2D yields an octagonal structure. A 4D cube projects into a 3D hexagonal prism segment. The final result is a layer structure quasiperiodic in one direction and periodic in the perpendicular plane. The structure promises to be useful as a simple model of an aperiodic crystal.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Quasicrystal Structures and Properties · Cellular Automata and Applications · Advanced Materials and Mechanics
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References (8)
Show source-provided references
1. Gummelt · Geometriae Dedicata · 1996 · 62 · 110.1007/BF00239998 ↗
2. Jeong · Phys. Rev. B · 1997 · 55 · 352010.1103/PhysRevB.55.3520 ↗
3. S.I. Ben-Abraham, P. Gummelt, R. Lück, F. Gähler, ECM 19 (Nancy 2000) 1610.1107/S0108767300021334 ↗
4. Gähler · Mater. Sci. Eng. · 2000 · 294–296 · 19910.1016/S0921-5093(00)01236-3 ↗
5. Ben-Abraham · Phys. Rev. B · 1999 · 60 · 86010.1103/PhysRevB.60.860 ↗
6. Gähler · Ferroelectrics · 2001 · 250 · 33510.1080/00150190108225095 ↗
7. Janot · 1994
8. Baake · J. Phys. A · 1994 · 24 · 463710.1088/0305-4470/24/19/025 ↗