Huh? You are an animal with bilateral symmetry. Check how many directions you are able to move.
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an outliers can affect the symmetry of the data because u can still move around it
It can move in either direction.
Tesselation (or tiling) generally implies translational symmetry, because you can generally move one part of a tiling over another a specific distance away and get an exact match (ie the tesselation is periodic). A counterexample (possibly the only one) is Penrose tiling, which is non-periodic. There is certainly no need for a tesselating shape to have either bilateral or rotational symmetry: all triangles and all parallelograms (including squares and rectangles) will tessellate. I'm afraid this is a rather superficial answer to this very interesting question; a deeper one will have to come from someone with a knowledge of group theory.
Rotation: move the object around the plane. Each rotation has a center and an angle.Translation: move the object on the plane without rotating or reflecting it. Each translation has a direction and distance.Reflection: mirror image of the object. Always has a mirror line.Glide Reflection: combination of a reflection and translation along the mirror line.
direction