**Session Author: **Gene Abrams

A Mad Veterinarian has created three animal transmogrifying machines…

While grappling with the posed questions, players will explore a set of problems, figuring out how and if the machines can complete a given transformation. Connections can be made to invariants, abstract algebra, graph theory, and Leavitt path algebra.

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**Strategies:**

Problem posing, Invariants, Try a similar problem**Topics:**

Mathematical Games, Algebra / Arithmetic, Combinatorics**Styles:**

Games, One rich problem**Mathematical Practices:**MP1, MP3, MP7, MP8