'go figure' definitions:

Definition of 'go figure'

From: GCIDE

Figure \Fig"ure\, v. i.
1. To make a figure; to be distinguished or conspicious; as, the envoy figured at court. [1913 Webster]
Sociable, hospitable, eloquent, admired, figuring away brilliantly. --M. Arnold. [1913 Webster]
2. To calculate; to contrive; to scheme; as, he is figuring to secure the nomination. [Colloq.] [1913 Webster]
go figure a phrase used by itself as an interjection to mean "How can one explain that?", or to express puzzlement over some seeming contradiction. [Colloq.] [PJC]