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First, 122 = 144.

Next, 212 = 441.

Are there any other number pairs that fit this pattern, which has been called "mirror squares"?

This pattern was found by Janet Mock, one of my colleagues who loves to play with number patterns. When Janet showed me the pattern, her exited comment was that she had found "something marvelous."

Now, get your students to try to search out other instances...even try 3-digit number pairs and perhaps even cubes, etc. Let me (and Janet) know what you discover.