So, " white cats with blue eyes are usually deaf ", and,
" cats have a peripheral vision of 285 degrees ".
Therefore, you could sneak up directly behind a deaf, white cat, staying in the 75 degrees of the circle where the cat's peripheral vision can't see you? The only problem with this, is that if you were to sneak up on a white cat from directly behind you would have no way of checking that the white cat's eyes were blue, and that the cat was therefore probably deaf. Obviously, if the cat had green eyes and was not deaf, even sneaking up on it directly from behind would be pointless, because it would hear you coming. And, if you looked in the cat's eyes to check that it was blue-eyed, and therefore deaf, the cat would see you, and obviously you couldn't sneak up on it at all. So, it seems to me that the simplest way to proceed is to convince President Obama to lend me one of those US space surveillance systems for a few minutes. The colour of the cat's eyes, and therefore the cat's deafness/non-deafness could be verified from orbit, completely beyond the cat's ability to detect. And, if the cat did, indeed, have blue eyes, and was therefore probably deaf, I would know that I could, indeed, sneak up on it from behind.
( Although, it does occur to me, that if I was to persuade President Obama to give me access to US space surveillance technology, I would probably have to have a REALLY good reason for wanting to sneak up on that particular cat...

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