A sphere is not a polyhedron. Unlike polyhedra, which are made up of flat faces, a sphere is a three-dimensional shape with a curved surface. It does not have any flat faces, edges, or vertices like polyhedra do. **

No, a cylinder is not a polyhedron. A polyhedron is a three-dimensional shape with flat faces and straight edges, while a cylinder has curved surfaces. A cylinder has two circular faces and one curved surface, making it a curved shape rather than a polyhedron. **

Yes, all faces of a polyhedron can have different numbers of vertices. In fact, this is a defining characteristic of a polyhedron - each face can have a different number of vertices, as long as the vertices are connected by edges to form a closed surface. This is what distinguishes a polyhedron from other geometric shapes, such as a prism or a pyramid, where all the faces have the same number of vertices. **

Yes, it is possible to book a language stay without accommodation. Some language schools offer the option to enroll in classes only, allowing students to arrange their own accommodation separately. This can be a good option for students who prefer to stay with friends or family, or who want more flexibility in choosing their accommodation. However, it is important to check with the language school beforehand to ensure that they offer this option. **

Yes, it is possible to book a language stay without accommodation. Some language programs offer the option for students to arrange their own accommodation separately, whether it be through a hotel, hostel, or rental. This allows students to have more flexibility and control over their living arrangements during their language stay. However, it's important to ensure that the language program allows for this option and to carefully plan and book accommodation in advance. **

The choice between a hotel and a guesthouse depends on the individual's preferences and needs. Hotels generally offer more amenities and services, such as room service, concierge, and on-site restaurants, but they can be more expensive. On the other hand, guesthouses are often smaller, more intimate, and provide a more personalized experience. They are usually more budget-friendly and offer a chance to interact with the local community. Ultimately, the decision between a hotel and a guesthouse comes down to the traveler's priorities and budget. **

FC Bayern stayed at the Hotel Adlon Kempinski in Berlin. This luxury hotel is located in the heart of the city, near the Brandenburg Gate and other major attractions. The hotel is known for its elegant and comfortable accommodations, making it a popular choice for high-profile guests and events. **

I recommend using a popular travel website or app such as Booking.com, Airbnb, or Expedia to search for a guesthouse. You can input your desired location, dates, and any specific preferences such as price range, amenities, and guest ratings. These platforms provide a wide range of options and allow you to read reviews and see photos of the guesthouses before making a reservation. Additionally, you can use filters to narrow down your search based on your specific needs and preferences. **