Question 38
In the picture below a chain consisted of $54$ unit squares is shown. Each unit square, except for the two at the front and the end, is connected to its neighbouring ones in opposite vertices.
It is allowed to put any unit square of the chain in any position in space as long as it is connected to its neighbouring unit squares in corresponding vertices. Is it possible for that chain to make the surface of a $3 \times 3 \times 3$ cube? (Russia 1999)
It is allowed to put any unit square of the chain in any position in space as long as it is connected to its neighbouring unit squares in corresponding vertices. Is it possible for that chain to make the surface of a $3 \times 3 \times 3$ cube? (Russia 1999)