1. The problem asks: What is a shape with all sides or maximum sides curved called? 2. In geometry, shapes can have straight or curved sides. When a shape has all sides curved, it is typically called a "curve" or more specifically, a "closed curve" if it forms a closed loop. 3. Common examples include circles and ellipses, which have no straight edges, only curved boundaries. 4. If the shape has many curved sides joined together smoothly, it might be called a "curvilinear polygon" or simply a "curved shape". 5. The most common and simplest shape with all sides curved is a circle. Final answer: A shape with all sides curved is called a "curve" or specifically a "closed curve" such as a circle or ellipse.