To prepare the flower chips, use kitchen shears to cut each rice paper sheet into quarters. Trim each piece into a round shape, making half about 3 inches in diameter and the other half about 2 inches. Using the kitchen shears, make 6 to 8 shallow cuts around the edges, leaving the center intact, to create flower petals. Lightly dab the center of a larger round with water, place a smaller round on top, and press gently for a few seconds to seal.
To fry the flower chips, in a deep pot over high heat, heat the cooking oil to 375°F (191°C). Carefully place the flower chips into the oil and fry for about 10 seconds until puffed and crispy. Transfer to a paper towel-lined plate.
To make the seasoning, in a small bowl, combine the salt and white pepper until evenly mixed.
To make the sweet and sour dipping sauce, in a small pot over medium heat, combine the apple juice, rice vinegar, ketchup, and honey. Bring to a simmer. In a small bowl, combine the cornstarch and water to make a slurry. Stir the slurry into the sauce and whisk until thickened. Transfer to a serving bowl.
To serve, sprinkle the flower chips with the salt and pepper seasoning or serve it on the side. Serve with the sweet and sour dipping sauce for dipping.