Quasiperiodic Tilings Derived from Deformed Cuboctahedra
نویسندگان
چکیده
3D quasiperiodic tilings derived from deformed cuboctahedra are obtained by projection from 7D or 6D lattice space to 3D tile-space. Lattice matrices defining the projections from 7D or 6D lattice space to tileand test-space are given by introducing a deformation parameter. Two types of lattice matrices are considered, orthonormal and row-wise orthogonal, both are corresponding to deformation of a cuboctahedron along the z-direction but the latter is corresponding to uniform deformation. Both 3D and 2D tilings are investigated though the latter is merely derived as a degenerate case of the former.
منابع مشابه
Quasiperiodic Tilings Derived from a Cuboctahedron —Projection from 6D Lattice Space—
A 3D quasiperiodic tiling derived from a cuboctabedron is obtained by projection from 6D lattice space to 3D tile-space, one less dimensional lattice space than the conventional one. A lattice matrix defining projections from 6D lattice space to tileand test-space is given and its geometric properties are investigated.
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