Step 1: Observe the border pattern.
The border has an interlocking design of circular arcs and purple loops. The missing central piece must align seamlessly with this design. Step 2: Compare each option.
- (A): The arcs are cut at the edges; does not align with the border.
- (B): Wrong orientation; the curves mismatch.
- (C): The loops and arcs continue smoothly from the surrounding frame.
- (D): Misaligned at the borders. Step 3: Conclude.
The only option that fits the continuity of the pattern is (C).
Final Answer:
\[
\boxed{\text{C}}
\]