In a 5- to 6-quart pan over high heat, bring about 2 1/2 quarts water to a boil. Trim ends off beans; cut beans into 3-inch lengths. Add beans to boiling water and cook until they are bright green and just tender to bite, 2 to 3 minutes. Drain and immerse in ice water until cool, about 2 minutes. Drain again.
Mound beans, carrots, cucumbers, sprouts, cabbage, and tomato on a platter. Serve with spicy peanut sauce.
Nutritional analysis per serving without peanut sauce.