Currently, variables associated with quadrature points are written to variables with indexed names, where the indices represent the quadrature point index -- for example stress_xx_1, stress_xx_2, stress_xx_3,... stress_xx_8 for a 2x2x2 quadrature scheme. This can get confusing in simulations where blocks have different quadrature schemes.
A possible extension to Exodus could be to allow for a more organized means for writing values to quadrature points.