A flameless candle comprising: a candle body including a base, an upper surface including an aperture, and a sidewall extending between the base and the upper surface, wherein the candle body forms a hollow interior region; a projection screen extending upwardly from the upper surface of the candle body; a supporting portion located within the hollow interior region; a moving portion located within the hollow interior region and supported by the supporting portion, wherein the moving portion includes: a lens oriented diagonally along a vertical dimension, wherein the lens is transparent; an arm; and a magnet on the arm; a light-emitting diode located within the hollow interior region, wherein: the LED is oriented to project light upwardly and diagonally such that the projected light travels from the LED, through the lens, through the aperture of the upper surface of the candle body, and onto an outer surface of the projection screen; and the LED is separated by a distance from the lens; and a circuit including a coil arranged to alternately generate a magnetic field having a first polarity and a magnetic field having a second polarity, such that the magnet in the moving portion is successively attracted to the coil and repelled by the coil; characterized in that the sidewall is translucent; the projection screen comprises a flame shape; the arm extends downwardly, and in that the moving portion further comprises an intermediate portion connected to the lens and to the arm, and wherein the intermediate portion rests on the supporting portion, the lens thereby having three degrees of freedom. J Z a candle body including a base, an upper surface including an aperture, and a sidewall extending between the base and the upper surface, wherein the candle body forms a hollow interior region; a projection screen extending upwardly from the upper surface of the candle body; a supporting portion located within the hollow interior region; a moving portion located within the hollow interior region and supported by the supporting portion, wherein the moving portion includes: a lens oriented diagonally along a vertical dimension, wherein the lens is transparent; an arm; and a magnet on the arm; a lens oriented diagonally along a vertical dimension, wherein the lens is transparent; an arm; and a magnet on the arm; a light-emitting diode located within the hollow interior region, wherein: the LED is oriented to project light upwardly and diagonally such that the projected light travels from the LED, through the lens, through the aperture of the upper surface of the candle body, and onto an outer surface of the projection screen; and the LED is separated by a distance from the lens; and the LED is oriented to project light upwardly and diagonally such that the projected light travels from the LED, through the lens, through the aperture of the upper surface of the candle body, and onto an outer surface of the projection screen; and the LED is separated by a distance from the lens; and a circuit including a coil arranged to alternately generate a magnetic field having a first polarity and a magnetic field having a second polarity, such that the magnet in the moving portion is successively attracted to the coil and repelled by the coil; characterized in that the sidewall is translucent; the projection screen comprises a flame shape; the arm extends downwardly, and in that the moving portion further comprises an intermediate portion connected to the lens and to the arm, and wherein the intermediate portion rests on the supporting portion, the lens thereby having three degrees of freedom. J Z