Boil the eggs until hard boiled, about 10 min. Once boiled place the eggs into a pot of cold water and once cooled, peel them.
Cut the eggs into round slices. Try not to break the rings. The egg yolks should fall out as the rings are cut. Set them aside.
Cut the avocado in half, peel it and remove the seed. Slice the avocado.
Place the egg yolks, avocado, mayo, salt and pepper into a bowl and mix them together. You can use a fork for a lumpy texture, or a food processor for a smooth, creamy texture. I used a fork.
Slice your cucumber into thick slices, in a diagonal direction.
Arrange the prepared cucumbers on a platter, top the cucumbers with one egg white ring each, then add some of the avocado mixture to the middle of the egg ring.
Consider garnishing with chives, cranberries or paprika