  We identify several new quasicrystal approximants in alloy systems in which
quasicrystals have not been previously reported. Some occur in alloys with
large size contrast between the constituent elements, either containing small
Boron atoms, or large Ca/Eu atoms, leading to quasicrystal structures quite
different from currently known systems where the size contrast is smaller.
Another group of the approximants are layered Frank--Kasper structures,
demonstrating competition between decagonal and dodecagonal ordering within
this family of structures.
