  Optical interference holography has been proved to be a useful technique in
fabricating periodic photonic crystals in which electromagnetic waves are
forbidden in certain frequency bandgaps. Compared to periodic crystals
quasicrystals, having higher point group symmetry, are more favourable in
achieving complete bandgaps. In this report, we propose two seven-beam optical
interference configurations based on the reciprocal vector space
representations for quasicrystals to fabricate icosahedral quasicrystals.
Interference simulations for the quasicrystals exhibit the full symmetry of an
icosahedron. The result paves the path for the fabrication of photonic
quasicrystals using holographic lithography.
