To fold an aluminum coil for compactness, first ensure the coil is free of sharp edges or damage. Use gloves for safety. Start by laying the coil flat. Measure and mark the desired folded length. Begin folding the coil by bringing one end towards the center, aligning the edges neatly. Continue folding back and forth, ensuring each fold is tight and even. Use a rubber mallet or similar tool to secure the folds, if necessary. For larger coils, consider using a mechanical folder or press to apply even pressure. Always work in a well-ventilated area and follow safety guidelines to prevent injury.