Follow the diagram above to connect the NeoPixel Ring to the Trinket. You can measure the wire lengths by mounting the ring and Trinket to the 3d part and then cutting the required sizes for each pin. 

To keep the wires nice and short, rotate the ring so the pins are close to the pins on the Trinket.

GND on the Ring connects to ground on the Trinket

5v on the Ring connects to USB on the Trinket

DIN on the Ring connects to pin #0 on the Trinket