I chose a dog as the animal which represents how I would like to be seen. In other words, "Regular feeding, lots of exercise, having your tummy tickled on occasion and you see yourself as a steadfast friend for life."
I chose a bird as the animal which represents how I think others see me. In other words, "You beast you! You want to be seen as mad, bad and dangerous to know."
I chose a rhinocerous as the animal which represents how I see myself. However, no consensus emerged from the rest of my answers for this question.