See the pictures of the process below

White elements of the design are under the beeswax. Then the egg  was dyed yellow.

White and yellow elements of the design are covered with beeswax. The egg is then dyed light green.

White, yellow and light green elements of the design are under the beeswax. Then the egg takes an orange bath.

White, yellow, light green and orange elements of the design are under the beeswax. Then the egg is dyed dark green.

White, yellow, light green, orange and dark green elements of the design are under the beeswax. Then the egg is finally dyed black.

Final stage. And the beeswax is then removed. 

And the egg is varnished.