Special equipment: a spiral cutter
Whisk together the oil, vinegar, honey, red pepper flakes and salt and pepper to taste in a small bowl to make a vinaigrette.
In a large bowl, combine the tomatoes, zucchini, corn and carrots. Pour the vinaigrette over the vegetables and stir to combine. Add the feta and basil and season with salt and pepper.
Allow to sit for at least 30 minutes or up to 2 hours in the refrigerator before serving.