Special points of (2+1)-reducible quasilattices in three dimensions

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Abstract
Presents a complete classification of special points of five-dimensional (5D) Bravais lattices which yield with the cut-and-projection method (2+1)-reducible quasilattices in 3D; the quasilattices are periodic along the c axis but quasiperiodic only along the plane perpendicular to it. There exist five Bravais classes of 5D lattices associated with the (2+1)-reducible quasilattices, namely primitive octagonal, decagonal and dodecagonal lattices, the centred octagonal lattice and the pentagonal lattice. The author also discusses the special points of the reciprocal lattices of these 5D lattices.