Trunk to Left side – The Ganesha idol with trunk to the left side is normally known as Edamuri Vinayaka or Vamamukhi. This is the common form of Ganesh idol that people buy for their pooja rooms.
Now the question of why Edamuri Vinayaka is common. Here is the reason. Left side means North direction. North direction means Chandra Nadi. Now this Chandra Nadi is known for bliss and tranquility. So Lord Ganesha with his trunk to the left side is known to be calm, blissful and in the happy mood.
Right Trunked Ganesh IdolTrunk to Right side – The Ganesha idol with trunk to the right side is known as Dakshi­nabhimukhi murti. This kind of Lord Ganesha idols are not normally found in homes and offices. And there is a reason.
Right side means South direction. South direction means Surya Nadi. And such an idol is said to be active. You cannot go around worshiping a Dakshi­nabhimukhi Ganesha like any other idol in your pooja room. To worship Dakshi­nabhimukhi Ganesha, special routine rituals are necessary and you need to observe all the norms of these rituals without fail. That may be the reason, why you can only see right trunked Ganesh murti only at temples.
Straight Trunk Ganesh IdolIdols with Straight Trunk – You will also find Ganesha idols with a straight trunk or trunk up in the air. These kinds of idols are hard to find, but are considered special. The idol with the trunk of Lord Ganesha in the air represents a state where his ‘Kundalini’ reached the peak. These idols are always good for any home and office. So if you are to gift Lord Ganesha idol to someone, it would be best if you could avoid the Dakshi­nabhimukhi murti idols.