1. Gymnasium: The gymnasium uses the capital letter "T" as the symbol, such as "T-MobileCenter" (T-Mobile Center in Memphis, Tennessee) or a circular "O", such as "O2Arena" (O2 Arena in London Olympic Park).
2. Library: The logo of the library is an icon containing the letter "L", which represents the first letter of the word "library".
3. Museum: The logo of the museum will be designed according to its specific theme or location. For example, the logo of the British Museum is a pattern containing the letter "B".