  The signature of an unatomic system is revealed by a continuous scale
invariance that appears during a progressive dimensional squeezing of a
resonantly interacting trimer. The unatomic regime is reached at the dimension
$\overline D$, which for three identical atoms is found to be $\overline
D=2.292$ - below this value, the trimer wave function at short distances
displays a power-law behaviour. The fingerprint of this crossover is a sharp
evolution of the contacts that characterizes the trimer momentum distribution
tail.
