The graphical representation of the DFA I provided is a simplified way to visualize the transitions and states of the automaton. In reality, a DFA is not a physical object and does not have a physical shape or appearance.
When we draw DFAs or other automata, we often use diagrams with nodes (representing states) and edges (representing transitions) to provide a visual representation that helps us understand and reason about their behavior. The straight lines connecting the states in the diagram are just a convention to make the diagram easier to interpret and follow. They do not represent any physical structure or curvature in the actual DFA.
The DFA operates based on its internal logic and state transitions, which are determined by the input it receives. The representation of the DFA as a straight-line diagram is simply a convenient way to depict its structure and transitions visually.