Freeing the Clones

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Session Author: Kimberly Muller

Imagine that you are standing at the corner of an infinite checkerboard. You are one of three clones imprisoned in the three tiles at the corner of the board. The only way for a clone to move is to split itself into two clones, which will occupy the tiles above and to the right of the original clone. Only one clone can occupy a tile at a time. Is it possible for all of the clones to escape the prison?

This session is also suitable for student circles or classroom warm ups. Additionally, the session explores a Dichotomy Paradox, Baravelle Spirals and their relationships to freeing the clones.

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