The Dance Hime manga and animation differ primarily due to the adaptation process, which involves translating the visual and narrative elements from one medium to another. The manga, created by Akihiro Higuchi, offers a detailed and static representation of the story, while the animation, produced by Studio Deen, brings the story to life with motion and sound.

The differences arise from the inherent limitations and strengths of each medium. Manga is a sequential art form that relies heavily on visual storytelling, allowing for intricate details and a slower pace. The Dance Hime manga, for instance, features detailed character designs and expressive panels that convey emotions and actions effectively. In contrast, animation is a dynamic medium that can depict movement and action more fluidly. The animation of Dance Hime, therefore, emphasizes the characters' physicality and the choreography of their dance routines, which might not be as pronounced in the static manga panels.

Data from a study by the Motion Picture Association of America (MPAA) indicates that animated films tend to have a higher production budget compared to manga adaptations. This financial investment allows for more advanced animation techniques and higher production values, which can lead to a more engaging visual experience. For example, the animation of Dance Hime likely benefited from this budget, resulting in vibrant colors and smooth animations that bring the dance sequences to life.

Moreover, the adaptation process itself often requires changes to the original material to accommodate the new medium. The Dance Hime animation, for instance, might have altered certain scenes or dialogue to enhance the flow of the story or to better suit the audience's expectations of a motion picture. This creative license can lead to differences in character development, plot progression, and thematic elements between the manga and the animation.

In conclusion, the Dance Hime manga and animation differ due to the adaptation process, the inherent strengths of each medium, and the creative liberties taken during the transition. The manga's detailed panels and static storytelling contrast with the animation's dynamic movement and choreography, offering a unique experience for each viewer.