  Given any number field, we prove that there exist arbitrarily shaped
constellations consisting of pairwise non-associate prime elements of the ring
of integers. This result extends the celebrated Green-Tao theorem on arithmetic
progressions of rational primes and Tao's theorem on constellations of Gaussian
primes. Furthermore, we prove a constellation theorem on prime representations
of binary quadratic forms with integer coefficients. More precisely, for a
non-degenerate primitive binary quadratic form $F$ which is not negative
definite, there exist arbitrarily shaped constellations consisting of pairs of
integers $(x,y)$ for which $F(x,y)$ is a rational prime. The latter theorem is
obtained by extending the framework from the ring of integers to the pair of an
order and its invertible fractional ideal.
