Calabi-Yau threefolds with small h1,1's from Fano threefolds

We construct Calabi-Yau threefolds with relatively small Hodge numbers h1,1's by smoothing normal crossing varieties, which are obtained from Fano threefolds. We consider over 300 configurations and compute Hodge numbers of Calabi-Yau threefolds. Many of those Hodge pairs (h1,1,h1,2) do not overlap with those of Calabi-Yau threefolds constructed in the toric setting.