Assertion: icosahedron's edge | /r/HasProperty | incident
Facets:
value: with every vertex
type: OTHER
Source sentences:
text: Also, because $G$ is $5$-regular, $5$ edges are incident with every vertex, and each edge is shared by $2$ vertices, so $q = \frac{5p}{2} = 5k$. $G$ is maximal planar, so by the Theorem 8.1.2 \begin{equation} q=3p-6 \end{equation} \begin{equation} \Rightarrow 5k=3(2k)-6 \end{equation} \begin{equation} \Rightarrow k=6.