  Hom- and Riedtmann configurations were studied in the context of stable
module categories of selfinjective algebras and a certain orbit category C of
the bounded derived category of a Dynkin quiver, which is highly reminiscent of
the cluster category. The category C is (-1)-Calabi-Yau. Holm and Jorgensen
introduced a family of triangulated categories generated by $w$-spherical
objects. When $w \geq 2$, these may be regarded as higher cluster categories of
type A infinity. When $w \leq -1$, they are higher analogues of the orbit
category C. In this paper, we classify the (higher) Hom- and Riedtmann
configurations for these categories, and link them with noncrossing partitions
in the case $w = -1$. Along the way, we obtain a new geometric model for the
higher versions of the orbit category C.
