Mix all of the ingredients for the dipping sauce in a small bowl.]
Peel and slice the avocado, carrot, and cucumber into thin slivers.
Remove the white membrane and the seeds from the pepper and slice that thinly, too. Dip a rice paper into a bowl of room-temperature water for a few seconds. Place the rice paper onto a plate. Spread some of the tahini in the center, then add a third of the veggies and some sesame seeds.
Drizzle some more tahini on top. Starting with the side closest to you, fold the rice paper over the filling, then fold in the corners and roll until it forms a tight burrito-like roll, and stick together. Cut in half. Repeat the process with the other two rice papers.
Place the rolls on a plate. Serve with the dipping sauce and garnish with the remaining sesame seeds.