A lamp (100) comprises: at least one light-generating element (2); a partially transparent shade (5) arranged to surround the light-generating element (2) over an angle of at least 180° but preferably 360°; at least one LCD screen (10) arranged between the light generating element and the shade; a controller (20) for controlling the LCD screen such as to display an image. In horizontal cross-section, the LCD screen extends in two dimensions, with a concave side towards the light generating element.The LCD screen preferably is flexible, and may be bent to a cylindrical shape around the light-generating element.