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Description
This feels like making a guide to Rubik’s Cube, there are even formula for each case!
Except that this is a directed graph that doesn’t have enough structure to be a group, so it’s not a Cayley Graph (unlike the graph of the state space of Rubik’s Cube).
Proof: Suppose it is a Cayley Graph, then there is a unique identity element.
Then blr is the identity element, since it takes you from START to START.
However, blr takes you from right-lake to three-trees, therefore blr is not the identity element.
Therefore, it is not a Cayley Graph.
Except that this is a directed graph that doesn’t have enough structure to be a group, so it’s not a Cayley Graph (unlike the graph of the state space of Rubik’s Cube).
Proof: Suppose it is a Cayley Graph, then there is a unique identity element.
Then blr is the identity element, since it takes you from START to START.
However, blr takes you from right-lake to three-trees, therefore blr is not the identity element.
Therefore, it is not a Cayley Graph.
Source
not provided yet
BANNED FROM EQUESTRIA DAILY DONE IN HALF AN A PRESS
(Cookies if you get the reference.)
XD It never hurts to test whether the Konami Code does something.
I actually tried that when I first played, turning up and down to right and left instead, and it worked. a and b isn’t used though.
(I got cheat codes though…)