Hello Student,

Although you have not mention that about which poem / story you are talking about. But however I think you are talking about Alice in Wonderland which is actually written by the Reverend 40 Charles lutwedge dodgeson with the pseudonym of Lewis Carroll .

Here's the the looking glass or more specifically mirror symbolise a kind of punishment. When Alice asked the little kitten to open his arms but this little kitten does not listen to her words and DisoBey her.Then she holds this little kitten upto the looking glass to show how much shulky the inside is.

Hope this will help you