Assertion: dodecahedron's edge | /r/CapableOf | sit at vertex
Facets:
Source sentences:
text: Assume the edges are sitting at vertices $
text: Denote the circumradius of a tetrahedron as R. Let a, b, c be the lengths of the three edges that meet at a vertex, and A, B, C the length of the opposite edges.
text: All other combinatorial information about these solids, such as total number of vertices (V), edges (E), and faces (F), can be determined from p and q. Since any edge joins two vertices and has two adjacent faces we must have:
text: The angle α, is the angle between the two edges connecting the vertex d to the vertices b and c.
text: where a, b, and c represent three edges that meet at one vertex, and a · (b × c) is a scalar triple product.
text: A midplane is defined as a plane that is orthogonal to an edge joining any two vertices that also contains the centroid of an opposite edge formed by joining the other two vertices.