Puzzle 1: There are eight unique 3digit binary numbers (000, 001, 010,
011, 100, 101, 110, & 111). You can draw a circle of ones and zeros it such
a way that each of these 8 combinations can be found by picking the
correct starting place on the circle and reading the digits clockwise. For
example, in the picture shown here, “101” can be found boxed in green and “011”
can be found boxed in blue. Drawing this circle would be easy if it contained
24 binary digits because you would not have to make any of the eight sequences
overlap. Your job, however, is to make a circle using only eight digits.
Obviously, in this circle every digit will be the start of a unique sequence of
three.
Bonus: Do the same thing with 4digit binary numbers and a 16digit
circle.
