Generators and Relations
A simple game about the alternating group of 5 elements.
It is made for the Thinky Puzzle Jam 3, which is the first jam that I have participated.
I just want to try what humans generally do.
Goal: Reach the portal.
Use arrow keys to move.
You can press X on the thingamajigs to activate stuff.
It is not very enlightening. Two levels in total.
Click here for solution
# Run this in SageMath.
G=PermutationGroup(['(1,2)(3,4)','(1,3,5)'])
w=G('(1,5)(2,4)')
w.word_problem(G.gens(), as_list=True,display=None)
Update:
Extra question: What is the probability of stumbling upon a solution?
By stumbling, I mean pressing X on the two thingamajigs with equal probability.
Comments
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I think my brain could have followed things better if each stairstep had a different color. Though I suppose that would remove some of the mystery. And I still got it eventually :)
You are right. It is less clear at present what the two operations do to the staircase.