[en] Static imaging has been used to complement transport I-V measurements in inferring the phase diagram and structure of the mixed state of the high T_c superconductors YBCO(123) and BSCCO (2212). High resolution Bitter patterns reveal the static structure of the flux lattice in the low field mixed state of BSCCO (2212). For B parallel c, the in-plane effective mass anisotropy is found to distort the lattice. Rotation of the field away from the c axis results in the appearance of a unique structure: a striking array of vortex chains. At low fields, the pattern is otherwise amorphous. Increasing the field above ∼ 20G results in an abrupt transition into an hexatic phase. At high fields, I-V curves with picovolt resolution imply critical behavior within the mixed state, consistent in both 123 and 2212 with a three-dimensional vortex glass transition well below T_c. In 2212, a field and temperature dependent crossover in the effective dimensionality of the vortex lattice is also found