I don't want to say that my cat is strange, but she's definitely different. She love ice, the feel of it, the look of it and even better the sound of it. Each day she waits for me to set some ice up on the stainless steel sink (which means I do lots of scrubbing on the sink) and she hops up to work with it. She sniffs, she touches, she wacks it. And once it lands in the sink she studies it some more watching it rattle around.
The first year we had her she take a nap holding an ice cube by her paw. Strange, strange kitty.