Head-mounted augmented reality (AR) technology enhances the museum experience by immersing visitors in heritage content. Location-based applications attract online audiences to physical sites, which is also crucial for the dissemination of cultural heritage. This study develops and evaluates specific interaction design patterns to address typical challenges of physical navigation and interaction with AR in a museum, focusing on usability and the enhancement of visitor enjoyment through adding game elements. By prototyping and testing in both simulated and real-world museum environments, the research confirms that these patterns can enhance playfulness. The findings advocate for tailored interaction patterns that enhance usability and engagement, supporting the wider adoption of AR in cultural heritage domains.