Rinse the rice thoroughly and cook according to the package.
Mix the rice vinegar and sugar in a small bowl and stir the mixture into the cooked rice
Allowed the rice to cool and set aside.
Mix the imitation crabmeat with mayonnaise in a bowl and set aside.
Put a plastic wrap onto the bamboo rolling mat.
Lay a sheet of dry seaweed (shinny side down).
With wet fingers, firmly pat a thin and even layer of prepared rice over dry seaweed.
Leave 1/4 inch uncovered at the bottom edge of the seaweed sheet.
Sprinkle the rice with sesame seeds and press them into the rice
Carefully flip the dry seaweed sheet over so the seaweed is up.
Place 2 long cucumber and 2 long carrot spears, 2 slices of avocado and 1tbsp. of imitation crabmeat mixture in a line across the sheet.
Pick up the bottom edge of the sheet up enclosing the filling, and tightly roll the sushi into a cylinder.
Wrap the bamboo mat around the cylinder sushi and gently squeeze to compact it tightly.
Cut each roll into 1 inch pieces with a very sharped knife dipped in water.
Enjoy Immediately!