Imagine three sequences, which for the purpose of this puzzle will be called Moe(n), Larry(n) and Curley(n). All integers(1) are elements of one or the other of these three sequences but no element is a member of more than one sequence. Each sequence includes one third of all integers. The following equations define these three sequences.
Moe(n) = 3n + km. .Larry(n) = 3n + kl. .Curley(n) = 3n + kc
The offsets km, kl and kc are equal to the first positive element of each corresponding sequence when n is zero. Determine the specific values of these offsets to derive coordinate values from the following.
Moe(Curley(Curley(0)))
Curley(Larry(Larry(0)))
Larry(Larry(Curley(Moe(0))))
Curley(Larry(Larry(Larry(0))))
Curley(Curley(Moe(0)))
Moe(Curley(Larry(Moe(0))))
Curley(Curley(Curley(Moe(0))))
Curley(Larry(Curley(Larry(0))))
(1) - The term integer refers to an instance of a whole number that can be either negative, positive or zero.
(*) - If math isn't your sort of thing, click on the alternative triples image below.
Congratulations to first finder In The Vault.
