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Start by cutting up the head of cabbage (remove the core) and place in a food processor. Chop until the cabbage is cut up small. You MAY need to work in batches depending upon the size of your food processor.
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Do the same thing with the onions and the radishes.
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Once the cabbage, radishes, and onions are chopped up real small, place in a large mixing bowl.
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Then add in both vinegars, sugar, red pepper, salt, and black pepper.
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Give it a BIG stir. Make sure it's mixed really good.
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Then give it a taste. If it's too bitter, add another teaspoon of sugar. If it's too sweet, add a little more of both vinegars and salt and pepper, This process is a little bit of "trial and error."
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Let sit in the fridge for at least 20 minutes... the longer it sits, the spicier it will get. This recipe is SPICY.
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Serve and enjoy!