Cut the tie so you get a large enough piece of silk to completely cover the egg.
Wrap the uncooked egg a piece of silk, the shiny side touching the egg. Secure it with a twist tie.
Then wrap that in the white cloth, and secure it either with the butterfly clip. Do this for all the eggs you want to silk dye.
Fill a pot full of water, and add a quarter cup of white vinegar. Gently place the eggs in the pot, and bring it to a boil. Let the eggs boil for about 5 minutes, then turn off the heat and let them sit for about an hour.
When you unwrap the eggs, they will have taken on the print pattern of the tie. You can brush them with a little vegetable oil if you want them to be shiny.
Notes
Don't throw the water away! You can use that colored water to dye more eggs!