Even if the character is not symmetrical, you may still want to use mirrored versions, as the additional workload of creating unique animations for all four directions is often not justifiable.
A ¾ top down game requires animations of the side, top, and bottom views, but, if the character is symmetrical, an isometric game only requires the two diagonal front and back views. While an isometric view requires more faces of an object to be drawn, the trade off is that freely movable objects like characters actually need fewer unique sprites to represent them in all necessary orientations. Two side faces of an object are visible as well as its top face, which creates the illusion of an overhead view while allowing for greater detail description and immersion than the somewhat similar ¾ top down ("zelda-like") view or a side scrolling/platformer perspective. In an isometric view, the width, depth, and height of a cube are all equal measurements visually. This makes isometric projection a good option for things like architectural and technical illustration as well as game art. Because of this, the foreshortening (reduction in visual length of something as it recedes into space) is equal on all surfaces and is not dependent on the distance from the viewer. While all forms of perspective require at least one vanishing point, isometric pixel art has no vanishing points. In pixel art, " isometric" refers to work which utilizes the graphical projection of isometry rather than traditional (also known as linear) perspective.
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