This is Lumiere's Hat from Beauty and the Beast.
I was inspired by an LED Matrix candle project I saw on adafruit.com, however I needed a much larger version of the effect for stage use, so I created this project completely from scratch.
The candle hat itself is paper and styrofoam, spraypainted, the wick is black paper and hot glue to look like string texture. The flame is made from 5mmx5mm WS2811 pixel strings wired in a matrix, mounted on curved wires, and covered with a layer of polyfill.
To create the flame effect, I converted some stock footage of a candle flame into an animated gif, exported the individual frames, and wrote a small program that would resample and convert the animation frames into 8-bit monochrome data I could store on an arduino nano to play back on a loop.