Abstract: I will speak about period integrals of the holomorphic threeform on certain compact Calabi-Yau threefolds. In specific examples, we will see that it's possible to construct explicit three-cycles on an auxiliary geometry in such a way that the period integrals agree with those on the Calabi-Yau threefold. Moreover, we will see in specific examples that one can study the special Lagrangian condition on the auxiliary geometry (specifically, the constraint on the holomorphic threeform). This leads to a construction reminiscent of spectral/exponential networks that have previously appeared in the literature. This is part of some ongoing work, motivated by connections between arithmetic geometry of certain Calabi-Yau manifolds and the attractor mechanism of IIB supergravity.