South Indian bronze sculpture.
Image source - Lotus sculpture.
In this murthy (image), Shri Ganesha's legs are like those of a seated baby. In his hands He is holding an elephant goad, noose, modak (sweet), and His right tusk, which He uses as a pen. He is also holding something with His trunk, which could be a fruit, conch shell or pot of amrut.
Happy Shri Ganesha Puja!