The Lord is given the Name of Tryadhishvara, in reference to his three main residences, Gokula, Mathura and Dvaraka where absolute opulence reigns. Established in his transcendent power, Krishna is the Master of these three sojourns and of all spiritual energies, besides possessing the six excellences in their fullness. This is why all the Vedic scriptures proclaim that He is God, the Supreme Person. Lord Chaitanya then sang before Sanatane Gosvami a sublime song describing Krishna's excellences:
All Krishna's Entertainment is like the activities of humans. So let's understand that its shape is similar to that of man. In truth, the human form only imitates his. Flute in hand, Krishna appears like a shepherd in his early youth. Always playful, he is entertained like the average boy.
Desiring to sensitize Sanatane Gosvami to the immeasurable beauty of Krishna, the Lord declared that whoever appreciates his sublime attributes bathes in an ocean of nectar. Although beyond the material energy, the inner power of Krishna is nonetheless manifested by the Lord in this very world, for the sole satisfaction of his inner devotees. It follows that it is for this purpose that He appears in our galaxy. So fascinating are his attributes that Krishna Himself aspires to understand himself. Adorned in all his finery, He adopts his curved posture in three places, the eyebrows dancing incessantly above his eyes, so fascinating that all the gopis [Companions of Krishna in Vrindavana. They embody, because of their pure love for Him, the highest devotion to the Lord] become as if bewitched. At the top of the spiritual world is his transcendent home, where he resides with his companions, the gopis and all the goddesses of fortune. He is known there under the name of Madane-Mohane.
Many of Krishna's entertainments include those which He performs as Vasudeva and Sankarsana, and, in the material world, as the first Avatar-Supreme, the creator of the temporal galaxy. Without forgetting those of the Avatar-Pisces and the Avatar-Tortoise, manifestations of his embodied powers, nor those where He borrows the forms of Brahma and Shiva, the incarnations of the attributes of matter. He also plays the role of King Prithou, Avatar invested with powers, in addition to being the Supreme Soul seated in the hearts of all beings and embodying the impersonal Spiritual Being. However, of these innumerable entertainments, the most important are those which are connected with the activities of the human beings when He sports in Vrindavana, dances with the gopis, is entertained with the Pandavas [The five sons of king Pandu. Also referred to by this name are all the warriors of the camp of the Pandavas during the battle of Kuruksetra] on the battlefield of Kuruksetra, [a place of pilgrimage held to be sacred since ancient times. It is near the current location of New Delhi, India. There are 5 000 years at this point was stated in the Bhagavad-gita (Words of Krishna, Christ, God, the Supreme Person), by Lord Krishna to his devotee Arjuna, before the famous battle which resulted in victory of the Pandus and the enthronement of Maharaja Yudhisthira. Through this battle, Krishna either wiped out all demonic kings] or has fun in Mathura and Dvaraka.