Dakshinamurti translated in English means the Idol facing south. South is said to be the direction from where death comes. The Dakshinamurti aspect of Shiva popularized by the greatest known exponent of Non Duality Adi Shankaracharya is more popular in the southern states of India.
Adi Shankaracharya worshipped and meditated on this aspect of Shiva to gain the highest divine knowledge.
This is the Gayatri Mantra dedicated towards the Dakshinamurti aspect of Shiva.
Dakshinamurtaye Vidmahe Dhyanasthaya Dhimahi
Tanno Dhisah Prachodayat ll