No, an object cannot have symmetry without a repetitive pattern. Symmetry inherently involves repetition of parts in a balanced arrangement, whether through reflection, rotation, or translation, creating identical or congruent sections.
Class 6 Mathematics Ganita Prakash Symmetry
Class 6 Mathematics Chapter 9 Symmetry question answer
Symmetry is defined by the repetition of parts in a balanced arrangement, either through reflection, rotation, or other transformations. Without repetition, symmetry cannot exist because there would be no consistent or predictable way to divide or replicate the figure into congruent sections. For instance, a symmetrical rangoli relies on repetitive petals and designs, while an irregular object like a cloud, which lacks repetition, remains asymmetrical. Thus, symmetry and repetitive patterns are intrinsically linked in all symmetrical designs.
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