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Teachings of Lord Chaitanya
appears differently as Krishna and Valadeva. His expansion as Vasudeva, Samkarshan, Pradyumna and Aniruddha, mentioned above, is in the Original  Chaturvuha , or four-armed Forms.
There are innumerable four-armed manifestations in different planets and different places. For instance, these four-armed manifestations are both in Dwarka and Mathura eternally. And from these four Forms originally there are the principle twenty-four Forms, named differently in terms of the different adjustments of the symbols held in the hands—and they are called  Baibhava Vilasa . The same four Formal manifestations of Krishna are on each planet of the Spiritual Sky, called the Narayan  Loka  or  Vaikuntha Loka . In the  Vaikuntha Loka  He is manifested in a four-handed Form, called Narayan. And from each Narayan there is a manifestation of the four Forms mentioned above (Vasudeva, Samkarshan, Pradyumna and Aniruddha). Therefore, Narayan is in the center, and the four Forms surround the Narayan Form.
Each of the four Forms again expands into three, and they all have their different Names, beginning from Kesava. They are twelve in all. Such Forms are known by different Names according to the different placements of the symbols in the hands of Narayan.
As far as the Vasudeva Form is concerned, the three expansions are Kesava, Narayana, and Madhava. The three Forms of Govinda are known as Govinda, Vishnu, and Sri Madhusudan. It should be noted, however, that this Govinda Form is not the same Govinda Form as manifested in Vrindaban (as the Son of Nanda). Similarly, Pradyumna is also divided into three Forms known as Trivikrama, Vamana, and Sridhar; and, similarly, there are three Forms of Aniruddha, known as Hrishikesha, Padmanava and Damodara.