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Using the definition for corner of the place at which two converging lines or surfaces meet. There are 30 edges or corners to an icosahedron. * * * * * Normally, a corner of a solid shape is understood to be a vertex - not an edge! An icosahedron has 12 vertices.
In two dimensions 6 triangles meet at a vertex. In 3-dimensions any number of triangles (greater than 2) can meet at a vertext - a pyramid with the base in the shape of an n-gon will have n triangles meeting at its apex.
Pyramids have a square base with four triangles sticking up that meet in the center. Therefore, a square with lines from corner to corner would represent the top view of a pyramid.
Tetrahedron 3 triangles meet at each vertex 4 Faces 4 Vertices 6 Edges Cube 3 squares meet at each vertex 6 Faces 8 Vertices 12 Edges Octahedron 4 triangles meet at each vertex 8 Faces 6 Vertices 12 Edges Dodecahedron 3 pentagons meet at each vertex 12 Faces 20 Vertices 30 Edges Icosahedron 5 triangles meet at each vertex 20 Faces 12 Vertices 30 Edges
Triangles do not have parallel lines but as right angles triangles they do have perpendicular lines that meet at 90 degrees.