1. Place daikon and scallions in a large bowl filled with ice and water.
2. Whisk together mirin, vinegar, oils, and a generous pinch of salt.
3. Place cabbage in a large bowl, and toss with half of the dressing. Divide among 6 plates. Top with 3 slices each daikon and lotus root, a tofu cube, and a fanned out scallion half.
4. Drizzle the remaining dressing.