Among the demons associated with Ganesha’s own mythology rather than borrowed from the wider pantheon’s shared conflicts is Gajamukhasura, an elephant-headed asura whose defeat ties directly and specifically into Ganesha’s own physical form.
A demon who mirrored the god sent to stop him
Gajamukhasura had earned his elephant head through his own austerities and boons, becoming powerful enough to threaten the gods and disrupt sacrifices and rituals across the region. His resemblance to Ganesha – an elephant-headed being of considerable power – is treated in the story as more than coincidental, setting up a confrontation between two figures who shared an unusual physical trait but were separated entirely in purpose and character.
A battle that needed an unconventional weapon
Sent to end Gajamukhasura’s threat, Ganesha found conventional combat insufficient against a demon of that scale, and resorted to breaking off one of his own tusks to use as an improvised weapon, hurling it at the demon with enough force to finally subdue him.
A transformation rather than a simple death
Rather than being destroyed outright, Gajamukhasura, in most versions, is transformed by the encounter – becoming Mushika, the mouse who would go on to serve as Ganesha’s vahana, or alternatively surrendering and being granted a place of humbled service. The story offers yet another explanation, alongside the Parashurama and Mahabharata accounts, for Ganesha’s missing tusk – and one that specifically ties the loss to an act of decisive victory rather than either duty or diligence.