The iconography of dattAtreya according to va~NgasiMha vairochana. This erotic form of dattAtreya was also seen in he traipura tradition as teacher of the shrIkula mantra-s to rAma bhArgava.
दत्तात्रेयं विभुं कुर्याद्
द्विभुजं यौवनान्वितम् ।
वामोत्सङ्ग-धृत-श्रीकम्
अर्ध-चन्द्रासने स्थितम् ॥
वाम-पाणि-धृताम्भोजां
सुरूपाम् आयतेक्षणाम् ।
तद्-दक्षिणं करं स्कन्धे
देवदेवस्य दक्षिणे ॥
सव्याश्लिष्ट-प्रिया-करो
दक्षिणे मद्यपात्रकम् ।
पद्मस्थो घूर्णिताक्षश् च
गातृ-नर्तनकैर् वृतः ॥
दत्तात्रेयस् त्व् अयं वीरो
भुक्ति-मुक्ति-प्रदायकः ।
अद्वैतेन विधानेन
पूजनीयो विपश्चिता ॥
He should make the mighty Dattātreya, with two arms, endowed with youth, Holding the consort goddess to the left stationed on the half-moon seat.
She is made holding a lotus in the left hand, beautiful and with large eyes. Her right hand goes around to the right shoulder of the god of gods.
He embraces his beloved to the left with his hands and in his right [hand] has a liquor bowl.
He is surrounded by singers and dancers standing on lotuses with intoxicated eyes.
This indeed is the hero Dattātreya, the giver of enjoyment and liberation. He should be worshiped using the non-dual protocol by the one in the know.