\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016a.00796}
\itemau{Metz, James}
\itemti{Twists on the tower of Hanoi.}
\itemso{Math. Teach. (Reston) 107, No. 9, 712-715 (2014).}
\itemab
From the text: At a party that I attended, the hosts gave their guests the Tower of Hanoi puzzle with alternating dark and light discs and a challenge to move the 7 discs to a new post. (I disqualified myself because I knew how to solve the challenge.) However, the hosts' son and daughter-in-law misunderstood the directions and moved the dark discs to one side post and the light discs to the other side post. I immediately wondered, ``How many moves did they take, assuming that they made the most efficient moves? How can their interpretation of the problem be generalized to $n$ discs?"
\itemrv{~}
\itemcc{I30 K20 A20}
\itemut{puzzles; generalization; sum of powers of 2; binary notation; alternating colours}
\itemli{http://www.nctm.org/Publications/mathematics-teacher/2014/Vol107/Issue9/Delving-Deeper\_-Twists-on-the-Tower-of-Hanoi/}
\end