For easy-to-eat orange wedges or “smiles,” cut the fruit in half crosswise; then Cut 3 or 4 wedges from each half. For traditional wedges, cut the fruit in half lengthwise; then cut each half into wedges.
Cut a thin slice from both ends of peeled or unpeeled fruit. Then slice the fruit crosswise into the desired thickness. Cut cartwheels in half for half-cart-wheel slices.