  Stationary, spherically symmetric solutions of N=2 supergravity in 3+1
dimensions have been shown to correspond to holomorphic curves on the twistor
space of the quaternionic-K\"ahler space which arises in the dimensional
reduction along the time direction. In this note, we generalize this result to
the case of 1/4-BPS black holes in N=4 supergravity, and show that they too can
be lifted to holomorphic curves on a "twistor space" Z, obtained by fibering
the Grassmannian F=SO(8)/U(4) over the moduli space in three-dimensions
SO(8,n_v+2)/SO(8)xSO(n_v+2). This provides a kind of octonionic generalization
of the standard constructions in quaternionic geometry, and may be useful for
generalizing the known BPS black hole solutions, and finding new non-BPS
extremal solutions.
