Cover the work space with parchment paper and the floor with newspaper.
Place the sugar, 1/2 cup water, and corn syrup in a heavy-bottomed saucepan, over low heat. Stir occasionally until sugar is dissolved. Raise heat to high and bring mixture to a boil. Continue cooking until the temperature registers 310 degrees (hard-crack stage) on a candy thermometer. Remove from heat, and briefly plunge the saucepan into ice water to stop the cooking. Let stand to thicken slightly, about 1 minute. Dip a whisk or fork into the sugar syrup and wave back and forth over apple to draw out long, fine, threadlike strands. Gather the ends of the strands to form a weblike shape around each apple.
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