Electronic structure analysis of small cagelike silicon nanowires is carried out and reveals many surprising features. The band gap values forall the nanowires are found to be smaller than their bulk counterparts. The most intriguing aspect appears to be the alternating sequence ofdirect and indirect band gaps as the diameter changes. This is attributed to the type of surface geometry. We illustrate this with two well-known clathrate forms as well as a new hexagonal clathrate structure with a direct band gap in the optical region.