Can Dogs Get Ice Cream Headaches?

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I have an Australian Shepherd who just loves to eat ice cubes. Every time I get some ice, she trots up and asks for one. Sometimes I give her several in a row, and she never seems to suffer the dreaded "brain freeze" or "ice cream headache." So my question to all of you is - can dogs get brain freezes? Does anyone have any experience from this? How about headaches in general?