I just wanted to follow up with a hearty Thank You! for sharing this design with the community. I ended up cutting one for my lovely wife, and my son programmed his own light sequence into the Arduino.
We ended up using an Adafruit Trinket (5-Volt version) as the controller. I wound the LED strip into the frame before I cut it to length, leaving a few extra LEDs at each end. It ended up being a strip of 89 Neopixels. We skipped the cap-sense feature, but we may add a pushbutton on the underside of the lantern for pattern selection.
It was a great project for the two of us to collaborate on, and she loves it!
When I get a chance to snap some, I will post pictures of our build.