Cartesian or polar co-ordinates in pattern formation?

Types of supernumerary outgrowths produced after inverting the dorsoventral limb axis of the anuranBufo bufo

Contralateral grafts were performed on the larval limb buds of the anuranBufo bufo. The dorsoventral axis of 80 buds at stages IV or V was inverted. Ten tadpoles were used as controls. Fifty-two supernumerary structures developed, all of them in dorsal or ventral locations on the host stump. The majority (32 out of the 44 outgrowths with more than 3 toes) were normal limbs of stump handedness. However, the following abnormal structures were also observed: 2 double-posterior, 3 mixed-symmetric, and 7 undetermined cases. These results are in agreement with the predictions of a hierarchical polar coordinate model for epimorphic regeneration.