Abstract: A lampshade for mounting on a lamp for varying the illumination intensity of the lamp which allows flexible lampshade panels to be removeably mounted in various shapes to a frame. The frame includes a plurality of rigid, vertical support members with each support having a pair of arcuate shaped rigid supports which form a concave frame recess for receiving one side edge of a panel which is inserted between adjacent frame members. In an alternate embodiment, a flexible connector having a pair of arcuate walls connected by a central wall perpendicular thereto is disposed in a slot in a rigid vertical support member which allows for flexibly tensioning panels connected thereto along their sides. In either embodiment the particular final shape of the panel between adjacent frame members may be altered depending on the distance between the support members and the size of the panel inserted therein.