Step 1: Understanding Icosahedral Structure.
An icosahedron is a polyhedron with 20 faces, each an equilateral triangle. It has 12 vertices and 30 edges, making it a highly symmetrical structure often found in viral capsids.
Step 2: Analyzing the options.
(A) 16 triangular facets and 12 vertices: Incorrect — An icosahedron has 20 facets, not 16.
(B) 20 triangular facets and 12 vertices: Correct — This corresponds to the structure of the icosahedron.
(C) 16 triangular facets and 16 vertices: Incorrect — This is not a valid description for the icosahedral structure of a viral capsid.
(D) 20 triangular facets and 16 vertices: Incorrect — While icosahedral structures have 20 facets, they have 12 vertices.
Step 3: Conclusion.
The correct answer is (B) 20 triangular facets and 12 vertices