Ganesha
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Interpretations of relationships

In dicussing the Shiva Purana version, Courtright comments that while Ganesha is sometimes depicted as sitting between these two feminine deities, "these women are more like feminine emanations of his androgynous nature, Shaktis rather than spouses having their own characters and spouses." Ludo Rocher says that "descriptions of Gaṇeśa as siddhi-buddhi-samanvita 'accompanied by, followed by siddhi and buddhi.' often seem to mean no more than that, when Gaṇeśa is present, siddhi 'success' and buddhi 'wisdom' are not far behind. Such may well have been the original conception, of which the marriage was a later development." In verse 49a of the Ganesha Purana version of the Ganesha Sahasranama, one of Ganesha's names is Ŗddhisiddhipravardhana ("Enhancer of material and spiritual success"). In the Matsya Purana, Gaṇesha is identified as the "owner" of Riddhi (prosperity) and Buddhi (wisdom). In discussing the northern Indian sources, Cohen remarks:
They are depersonalized figures, interchangeable, and given their frequent depiction fanning Gaṇeśa are often referred to as dasīs — servants. Their names represent the benefits accrued by the worshipper of Gaṇeśa, and thus Gaṇeśa is said to be the owner of Ṛddhi and Siddhi; he similarly functions as the father of Śubha (auspiciousness) and Lābha (profit), a pair similar to the Śiva Purāṇa's Kṣema (prosperity) and Lābha. Though in Varanasi the paired figures were usually called Ṛddhi and Siddhi, Gaṇeśa's relationship to them was often vague. He was their mālik, their owner; they were more often dasīs than patnīs (wives).
His relationship with the Ashtasiddhi — the eight spiritual attaintments obtained by the practice of yoga — is also of this depersonalized type. In later iconography, these eight marvellous powers are represented by a group of young women who surround Ganesha.Raja Ravi Varma's painting illustrates a recent example of this iconographic form. The painted includes fans, which establish the feminine figures as attendants.