Question 53
A lizard wants to walk from one corner to the diametrically opposite corner of a regular dodecahedron with edge length $1$. Prove that the lizard has to walk a distance of at least $4$.
(A regular dodecahedron is a Platonic solid consisting of twelve regular pentagons.)
(A regular dodecahedron is a Platonic solid consisting of twelve regular pentagons.)