Get yourself a Particle Photon and a Adafruit Neopixel Ring (this is only a fourth of it, so you need four of them).

Solder those parts together.

Connect the ring and the photon. Ring GND goes to photon GND, ring 5V goes to photon VIN, ring signal goes to photon D2

Set up the Photon, see here. Set up the appengine, see here.

Get the firmware for the Photon and the webapp.
There is a file called your_config.json in the webapp directory. Use your own values for Particle_ID and Access_Token and rename it to config.json.

... Profit ;