I believe all Artwork must have a degree of symmetry and balance, be it landscape-abstract-or portrait, and mosaic is no different. The Universe exists with balance, and the Equilibrium of the minds-eye depicts this as to the emotions you feel while gazing at the art. I feel symmetry bring you into a microcosm of the work, A lack of symmetry or balance give you a feeling of helter-skelter.
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No. Non-existent patterns do not qualify as tessellations.
rotation, reflection, translation, glide reflection
The two numbers are the same.
there are 8 possible semi-regular tessellations :) hop i can helpp .
Rome