Peel the squash and cut it in half. Remove the seeds and discard. Cut squash into large cubes. Bring large pot of water to boil and add squash. Cook until soft. (Could also bake, steam, microwave, whatever method you like best for getting squash soft). Remove squash from water and place in a large bowl. Mash up squash until there are no more lumps. Meanwhile, in a small skillet, heat oil. Add onion, garlic and corn and cook until onion is soft and translucent. Scoop veggies out of skillet and try to leave any oil behind in the pan. Gently fold veggies into butternut squash mash. Stir some Parmesan cheese into squash mix. Add salt and more cheese to taste. Add squash mix to center of wrapper. Use finger or brush to wet outer edge of wrapper. Fold wrapper in half and press edges together. In large non-stick skillet, heat oil and sprinkle a little salt. Fill skillet with pot stickers so they all rest on the bottom of the pan, without overlapping each other. The filled side of the pot sticker should be on the bottom of the pan, the pressed edges should be facing up. Cook for 3-5 minutes without lid. Add 1-cup water to the skillet and cover when water starts to boil. Cook about 12 minutes then remove cover and let water boil itself away, careful not to burn bottom of pot stickers. If pot stickers do not seem done, add a little more water and let it boil away again. To make the dip: Mix equal parts of soy sauce and Chin kiang Vinegar in a bowl.