In class, we started with the classic river crossing problem of a wolf, a goat, and a cabbage. We then moved on to a variation in which we need to carry humans and zombies instead. Remember, if there are more zombies than humans on any side of the river, all of the humans on that side will die. How would you solve the case with 4 humans and 4 zombies, along with a boat with two slots? Is it impossible? If so, what is your reasoning? The app is linked below: https://www.jrmf.org/activities/river-crossings

In class, we talked about how the Tower of Hanoi is based on recursive relations. We also found the recursive relation for the Tower of Hanoi with three pegs. We then explored the Tower of Hanoi with two rings of each color, four pegs, and five pegs. We ended by exploring the Tower of Hanoi with colored pegs. In particular, we explored the case where A and B are pegs of one color, while C is another color. You can only move rings between pegs of different colors. Can you find the number of moves with four rings and five rings for the Tower of Hanoi with colored pegs? The app is linked below: https://www.jrmf.org/activities/tower-of-hanoi For those of you who weren't able to make it, check out our meeting here: https://youtu.be/8OvXQtIE5ds Looking forward to seeing everyone next Friday night from 7 - 8!

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