Ganesha and Mithuna (Gemini)
Gemini represents duality, the polarization of the singular into two parts. It represents the splitting of ine into two: the splitting of cells, the difference between light and dark, even the separation of Pārvatī from Śiva.
With Gemini’s imposing duality also comes space which must fill the emptiness (or difference) created by the separation. This space, the space created by the separation of Śiva and Pārvatī, is Ganesha.
Virgo (Kanya), the other Budha sign, is integration, the virgin (girl/Kanya) which exists as the singularity. In a way, Mithuna is, itself, responsible for the divide between Virgo and Gemini and why each graha has it’s own pair of opposing rāśis.