The mapping function *w* =
*k* log(*z* + *a*) is a widely accepted approximation
to the topographic structure of primate V1 foveal and parafoveal
regions. A better model, at the cost of an additional parameter,
captures the full field topographic map in terms of the
*dipole map* function
*w* = *k* log[(*z* + *a*)/(*z* + *b*)].
However, neither model describes topographic shear since they are both
explicitly complex-analytic or conformal. In this paper, we adopt a
simple *ansatz* for topographic shear in V1, V2, and V3 that
assumes that cortical topographic shear is rotational, i.e. a
compression along iso-eccentricity contours. We model the constant
rotational shear with a quasiconformal mapping, the *wedge
mapping*. Composing this wedge mapping with the dipole mapping
provides an approximation to V1, V2, and V3 topographic structure,
effectively unifying all three areas into a single V1-V2-V3
*complex* using five independent parameters. This work represents
the first full-field, multi-area, quasiconformal model of striate and
extra-striate topographic map structure.