Two algorithms for generating 2D and 3D quasiperiodic lattices by the strip projection method are presented. For the 2D algorithm a 5D simple cubic integral lattice with unit lattice constant is used as root lattice with a rhombic icosahedron as the projection window. For the 3D case a 6D simple cubic integral lattice with unit lattice constant is used as root lattice with a rhombic triacontahedron as the projection window.
