16. China has a long history of stone and seal culture, and seals are a representative of this culture. Seals are usually shaped as rectangular prisms, cubes, or cylinders, but the seal of the official Dugu Xin from the Northern and Southern Dynasties is shaped as a ``semi-regular polyhedron'' (Figure 1). A semi-regular polyhedron is a polyhedron formed by two or more types of regular polygons. Semi-regular polyhedra embody the symmetry of mathematics. Figure 2 shows a semi-regular polyhedron with 48 edges. All its vertices lie on the surface of a cube with edge length 1. This semi-regular polyhedron has $\_\_\_\_$ faces and edge length $\_\_\_\_$ . (The first blank is worth 2 points, the second blank is worth 3 points.)

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{e9c14d42-34be-4379-93d0-c3f95f9ac1b2-03_351_371_2142_651}
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\caption{Figure 1}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{e9c14d42-34be-4379-93d0-c3f95f9ac1b2-03_371_371_2140_1071}
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\caption{Figure 2}
\end{center}
\end{figure}

\section*{III. Solution Questions: 70 points total. Show your work, proofs, or calculation steps. Questions 17-21 are required for all students. Questions 22 and 23 are optional; students answer according to requirements.}
\section*{(A) Required Questions: 60 points total.}