Grate the beet and transfer to a bowl, set aside.
Peel the cucumber - cut off the tips and cut in half to make it easier to peel. Grate the cucumber as well.
Cut the red onion into small dices and finely chop some parsley to taste.
Meanwhile, boil the potato and the eggs for about 15 minutes. After this indicated time, drain all the water and set aside.
Into a bowl, add the grated beet, the parsley and the onion.
Peel the potato and grate it, then add it to the bowl with the grated beet.
Add the grated cucumber and mix all the ingredients very well.
Season with salt, black pepper, juice of 1 lime and mix very well.
Serve with the boiled eggs cut into slices.