  We present a systematic method of constructing limit-quasiperiodic structures
with non-crystallographic point symmetries. Such structures are different
aperiodic ordered structures from quasicrystals, and we call them
"superquasicrystals". They are sections of higher-dimensional limit-periodic
structures constructed on "super-Bravais-lattices". We enumerate important
super-Bravais-lattices. Superquasicrystals with strong selfsimilarities form an
important subclass. A simplest example is a two-dimensional octagonal
superquasicrystal.
