Cover the makisu bamboo mat with plastic wrap, set out water, a sharp knife, and a clean towel, then halve a nori sheet and lay it shiny-side down. The wrap should cover the mat where the sticky rice will touch.
Cut the avocado and cucumber into slender strips. Keep the pieces narrow enough to form an even filling line.
Dampen your fingers and distribute a thin layer of rice across the nori. The rice should cover the sheet lightly, without a compressed or bulky layer.
Scatter sesame seeds over the rice, press lightly, and turn the sheet rice-side down for uramaki, or leave it unflipped for nori-outside maki. For the inside-out version, the bare nori should now face upward.
Arrange cucumber and avocado across the center, then add two shrimp with their tails pointing toward opposite ends. The filling should form one centered horizontal line.
Bring the near edge of the mat over the filling and tuck the ingredients inward as you begin rolling forward. The first turn should enclose the filling snugly.
Continue rolling with steady, gentle pressure, using the mat to help shape the cylinder and tidy its ends. The roll should hold together without squeezed-out filling.
Transfer the roll to a cutting board and drape plastic wrap over it with extra extending beyond every side. The wrap should support the rice exterior during cutting.
Wet the knife, halve the roll, and divide the sections into 6 or 8 pieces, wiping and rewetting the blade between cuts. The slices should retain their rounded shape rather than flattening.
Remove every piece of plastic wrap and repeat assembly with the remaining ingredients. The finished yield should be four rolls.
Arrange the uncovered pieces on a serving plate and add the optional sriracha mayonnaise drizzle if desired. The sesame-coated rice and filling should remain neatly intact.