Although H2O has been the topic of considerable research since the beginnin
g of the century, most of its anomalous physical properties are still not w
ell understood. First we discuss some of the anomalies of this "complex flu
id.'' Then we describe a qualitative interpretation in terms of percolation
concepts. Finally, we discuss recent experiments and simulations relating
to the liquid-liquid phase transition hypothesis that, in addition to the k
nown critical point in water, there may exist a "second'' critical point at
low temperatures. In particular, we discuss very recent measurements at Ts
ukuba of the compression-induced melting and decompression-induced melting
lines of high-pressure forms of ice. We show how knowledge of these lines e
nables one to obtain an approximation for the Gibbs potential G(P,T) and th
e equation of state V(P,T) for water, both of which are consistent with the
possible continuity of liquid water and the amorphous forms of solid water
.