1. A three dimensional (3D) drawing method for immersing a user in an interactive 3D experience, comprising: in response to first signals from a controller, projecting a 3D image of the user on a projection screen; with a position tracking mechanism, determining 3D positions of a drawing instrument positionable by the user, during a drawing time period, relative to the 3D image and proximate but spaced apart from the projection screen; storing the set of determined 3D positions in memory accessible by a controller; with the controller, generating a 3D drawing image based on the set of determined 3D positions; and in response to second signals from the controller, projecting a mixed 3D image, on the projection screen, that comprises a blending of the projected 3D image of the user and the 3D drawing image, wherein the projected 3D image of the user comprises a first set of left and right eye images and wherein the projected mixed 3D image comprises a second set of left and right eye images differing from the first set of left and right images.